Whole Numbers. • Numbers like 0,1,2,3…. • Example: 2 + 4 = 6 Integers. • Are the numbers –3,-2,-1,0,1,2,3…. • Example: -2 + -3= -5 Rational.
Download ReportTranscript Whole Numbers. • Numbers like 0,1,2,3…. • Example: 2 + 4 = 6 Integers. • Are the numbers –3,-2,-1,0,1,2,3…. • Example: -2 + -3= -5 Rational.
Slide 1
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 2
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 3
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 4
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 5
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 6
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 7
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 8
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 9
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 10
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 11
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 12
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 13
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 14
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 15
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 16
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 17
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 18
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 19
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 20
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 2
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 3
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 4
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 5
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 6
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 7
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 8
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 9
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 10
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 11
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 12
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 13
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 14
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 15
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 16
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 17
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 18
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 19
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.
Slide 20
Whole Numbers.
• Numbers like 0,1,2,3….
• Example: 2 + 4 = 6
Integers.
• Are the numbers –3,-2,-1,0,1,2,3….
• Example: -2 + -3= -5
Rational numbers.
• Is a number a/b where a and b are integers
and b does not equal 0.
• Example: -1/2 is a rational number because
it can be written as –1/2 or 1/-2
Opposites.
• Two numbers that are the same distance
from 0 on a number line, but are on
opposite sides of 0.
• Example: 4 and –4 are opposites because
they are both 4 units from 0, but on opposite
sides of 0.
Absolute value.
• A number a is the distance between a and 0
on a number line.
• The symbol |a| represents the absolute value
of a.
Additive identity.
• The identity property states that the sum of
a number a and 0 is a.
• The number 0 is the additive identity.
Additive inverse.
• The inverse property states that the sum of a
number a and its opposite is 0.
• The opposite of a is its additive inverse.
MULTIPLACTATIVE
IDENTITY
• MULTIPLICATIVE IDENTITY
• A NUMBER THAT IS 1
• OR A PRODUCT OF A NUMBER a IS a
EQUIVALENT EXPRESSIONS
• TWO EXPRESSIONS THAT HAVE THE
SAME VALUE FOR ALL VALUES OF
THE VARIABLE.
DISTRIBUTIVE PROPERTY
• The equation 3(x+2)=3(x)+3(2)
• Which can be used to find the produce of a
number and a sum or diffence.
TERMS.
• THE NUMBERS OF THE EXPRESSTION
THAT ARE ADDED TOGETHER.
• EXAMPLE: -x+2x+8
• TERMS=-1,2,and 8
COEFFICIENT
• The number of a term with a variable part is
called coefficient of the term.
• Terms –x+2x+8 the coefficient is the -1 and
2
CONSTANT TERMS
• The constant term has a number part but no
variable part. Such as 8 in the expression
below
• -x+2x+8
LIKE TERMS
• LIKE TERMS ARE TERMS THAT HAVE
THE SAME VARIABLE PART, SUCH AS
–x AND 2x IN THE EXPRESSION
• -x+2x+8
MULTIPLACATIVE INVERSE
SQUARE ROOT
THE NUMBER YOU MULIPLY BY
ITSELF TO GET THE NUMBER UNDER
THE RADICAL SYMBOL.
RADICAND
• THE NUMBER OR EXPRESIONS
INSIDE A RADICAL SYMBOL IS THE
RADICAND.
PERFECT SQUARE
• THE SQUARE OF AN INTERGER IS
CALLED A PERFECT SQUARE.
IRRATIONAL NUMBERS
• IS THE NUMBER THAT CAN NOT BE
WRITTEN AS A QUOITIENT OF TWO
INTERGERS.
REAL NUMBERS
• IS A SET OF ALL RATIONAL AND
IRRATIONAL NUMBERS.