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Chapter 1
Whole Numbers
Numbers
Natural #’s: 1,2,3,4,5…
3 dots = goes on FOREVER!
Sometimes called counting numbers
Whole #’s: 0,1,2,3,4…
Number Line: smaller—left larger—right
1
2
3
4
Inequalities
> Greater than
8>5
Number line
< Less than
4<7
Number line
Names of Places
Millions>Hundred-thousands
ten-thousands>thousands
hundreds>tens>ones
Four hundred six thousand nine in
standard form
406,009
U Try It
Graph 4, 0, 9 on a number line
Place < or > between the two numbers:
89
45
76
56
Write 46,032,715 in words
Rounding
Round to the nearest place value or
estimating
At first you will be told which place value
to round.
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
Round 445,789 to the nearest thousand
Hint: look at the seven
446,000
Round 873,231 to the nearest tenthousand
Round 85 to the nearest ten.
1.1 Homework
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
The many words for sum:
Added to
More than
The sum of
Increased by
The total of
plus
Carrying
When you are adding numbers in a
column and the sum exceeds 9.
957 + 678
399 + 712
Unknowns
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
Properties
Addition property of zero
If you add zero to it, it stays the same
Commutative property of addition
X+Y = Y+X
1+5 = 5+1
Associative Property of addition
(a+b)+c = a + (b+c)
(4+8)+1 = 4 + (8+1)
Equations
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:
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.
Example: Subtract 692 – 378
Ex2: Subtract 3,904 – 1,775
Geometry
Point
Line
Ray
Line Segment
Angle
Plane
Intersecting and parallel lines
Polygons
Perimeter
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
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!