Transcript Chapter 1 Math Vocabulary

Learning Goal

You will understand and use the math
vocabulary of chapter 1 to solve
problems.
You will understand and use the math vocabulary of chapter 1 to solve problems.
Digits

Individual numbers within the standard
number

Examples
32,456 any of these numbers are
digits
1-1
You will understand and use the math vocabulary of chapter 1 to solve problems.
Standard Form

Uses digits and place value

Examples
81, 234
45
1289
1-1
You will understand and use the math vocabulary of chapter 1 to solve problems.
Whole Number

The counting numbers

Examples
1, 2, 3, 4, 5, 100, 2300, 170000
NO 0
1-1
You will understand and use the math vocabulary of chapter 1 to solve problems.
Compare
1-1

A symbol that shows which value is
larger and smaller (
)

Examples
Greater than
Less than
16
7
10
12
You will understand and use the math vocabulary of chapter 1 to solve problems.
Estimate

Close to the actual answer

Example
5+4
10
113+27
140
1-2
You will understand and use the math vocabulary of chapter 1 to solve problems.
Rounding

1-2
Process of changing a number to replace its value
with another value that is approximately equal
 The number goes up if it is 5, 6, 7, 8, 9
 The number remains the same or goes down if it is 1, 2,
3, 4

Examples
13 is rounded to 10
27 is rounded to 30
15 is rounded to 20
You will understand and use the math vocabulary of chapter 1 to solve problems.
Compatible Number
1-2

Are numbers that are well matched and used during
estimation

Examples
29/6.5 28/7=4 (the 29 becomes 28 and 6.5
becomes 7 to find an estimated answer of 4)
32+5 30+5=35 (the 32 becomes 30 to find an
estimated answer of 35)
You will understand and use the math vocabulary of chapter 1 to solve problems.
Sum

The answer to an addition (+) problem
or to add (+)

Examples
4+6=10
Find the sum of 1 and 2 means 1+2
1-3
You will understand and use the math vocabulary of chapter 1 to solve problems.
Commutative Property of Addition

Changing the order of numbers in an
addition problem will NOT change the
sum

Examples
5+9=9+5
4+6=10 and 6+4=10
Think about it:
Is this rule also true for multiplication, subtraction, and/or division?
1-3
You will understand and use the math vocabulary of chapter 1 to solve problems.
Associative Property of Addition

Changing the grouping of numbers in an
addition problem will NOT change the
sum

Examples
(9+5)+4=9+(4+5)
Think about it:
Is this rule also true for multiplication, subtraction, and/or division?
1-3
You will understand and use the math vocabulary of chapter 1 to solve problems.
Identity Property of Addition

The sum of 0 and any number is that
number

Examples
0+6=6
4+0=4
1000+0=1000
Think about it:
Is this rule also true for multiplication, subtraction, and/or division?
1-3
You will understand and use the math vocabulary of chapter 1 to solve problems.
Order of Operations

Tells which steps should be solved first from left
to right (PEMDAS)
 First Parenthesis () or Exponents 5
 Second Multiplication x or Division
 Third Add + or Subtract –

1-4
2
Examples
4+6x2
the 6x2 needs to be done first
4+12=16
You will understand and use the math vocabulary of chapter 1 to solve problems.
Value

Means the same as answer

Examples
Find the value for 10x0 0
Find the value for 5-2
3
1-4
You will understand and use the math vocabulary of chapter 1 to solve problems.
Expression

A symbol or combination of symbols
(numbers and x,+, -, /) that represent a
value

Examples
11+6x2
33/11+1
1-4
You will understand and use the math vocabulary of chapter 1 to solve problems.
Expanded Form

Is the sum (+) that shows place and
value of each digit of a number

Examples
0.32 = 0.3+0.02
0.10+0.07 = 0.17
1-5
You will understand and use the math vocabulary of chapter 1 to solve problems.
Expanded Form

Is the sum (+) that shows place and
value of each digit of a number

Examples
0.32 = 0.3+0.02
0.10+0.07 = 0.17
1-5
You will understand and use the math vocabulary of chapter 1 to solve problems.
Decimal Place Value Chart
1-5
Right of the decimal – “ths”
You will understand and use the math vocabulary of chapter 1 to solve problems.
Difference
1-7

To subtract (-)or to find the answer to a subtraction
problem (-)

Examples
4-2=2
Find the difference of 2 and 1 means 2-1
You will understand and use the math vocabulary of chapter 1 to solve problems.
Front- end Estimation

Estimate by adding the “front-end digits”

Examples
3.035+14.7+1.12 = 3 + 15 + 1
Notice that 14.7
rounds to 15
1-7
You will understand and use the math vocabulary of chapter 1 to solve problems.
Check for Reasonableness
1-7

Check to see if your answer makes sense

Examples
Yes
Does it make sense that 35+37 = 72 ??
Does it make sense that 0x3 = 400 ??
No
You will understand and use the math vocabulary of chapter 1 to solve problems.
Product
1-8

To multiply (x)or to find the answer to a
multiplication problem (x)

Examples
4x2=8
Find the product of 2 and 1 means 2x1
You will understand and use the math vocabulary of chapter 1 to solve problems.
Quotient
1-9

To divide (/ or )or to find the answer to a division
problem (/ or )

Examples
4/2=2
Find the quotient of 2 and 1 means 2 1