Transcript Document 7250907

Chapter 1
Whole Numbers
Numbers
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Natural #’s: 1,2,3,4,5…
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3 dots = goes on FOREVER!
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Sometimes called counting numbers
Whole #’s: 0,1,2,3,4…
Number Line: smaller—left larger—right
1
2
3
4
Inequalities
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> Greater than
8>5
 Number line
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< Less than
4<7
 Number line
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Names of Places
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Millions>Hundred-thousands
ten-thousands>thousands
hundreds>tens>ones
Four hundred six thousand nine in
standard form
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406,009
U Try It
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Graph 4, 0, 9 on a number line
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Place < or > between the two numbers:
89
 45
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76
56
Write 46,032,715 in words
Rounding
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Round to the nearest place value or
estimating
At first you will be told which place value
to round.
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Look to the value to the right of the value you
will round. If it is 5 or greater, round up. If 4
or less, the value stays the same.
Examples a plenty
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Round 445,789 to the nearest thousand
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Hint: look at the seven
446,000
Round 873,231 to the nearest tenthousand
Round 85 to the nearest ten.
1.1 Homework

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1 thru 107 Every Other Odd
Problems 4, 12, 26, 34, 42, 52, 68, 80, 90,
98
Working Together
and sharing ideas
is Great!
Copying
is not!
Get your
own
peanuts!
1.2 Adding and Subtracting

Vertically
Line up the numbers by place value
 Example: 123 + 89
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The many words for sum:
Added to
 More than
 The sum of
 Increased by
 The total of
 plus

Carrying
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When you are adding numbers in a
column and the sum exceeds 9.
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957 + 678
399 + 712
Unknowns

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Variable: a letter that stands for a
number.
Variable expression: variables linked
together mathematically
Evaluating the variable expression:
plugging in numbers for the variables and
solving
Examples
Evaluate K + P + L when
K = 7, P = 1, L = 4
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Properties
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Addition property of zero

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If you add zero to it, it stays the same
Commutative property of addition
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X+Y = Y+X
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1+5 = 5+1
Associative Property of addition
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(a+b)+c = a + (b+c)
(4+8)+1 = 4 + (8+1)
Equations

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Equation: has numbers and/or variables
on both the right and left side of an
equals sign
Solution: substituting numbers for
variables in an equation that makes the
equation true or false.
Examples

X+8=15


Is it true or false when x = 6
x+y+z=11,521

Is this equation true or false when x=1692,
y=4783, z=5046
Subtraction


Vertically line up the numbers as in
addition.
The many words for subtract:
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Minus
Less
Less than
The difference between
Decreased by
Subtract…from
Borrowing
(not just a nice word for stealing)

You may need to borrow if the lower
number is bigger than the upper number.
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Example: Subtract 692 – 378
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Ex2: Subtract 3,904 – 1,775
Geometry
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Point
Line
Ray
Line Segment
Angle
Plane
Intersecting and parallel lines
Polygons
Perimeter
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Add up the sides
If I wanted to put tape around the edge of
my snowboard fashioned out of an old
ironing board, how much tape do I need?
6 Ft
2 ft
1 ft
1.2 Homework
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
1 thru 143 EOO
Problems 6, 20, 42, 48, 52, 58, 66, 82,
100, 118, 140
Nirzwan’s
homework
assignments
aren't that bad
Shut up!