Download Introduction to Integers

Integers
Integers are positive (+) and negative(-)
numbers.
Negative Integers represent a loss or a
decrease. (Ex. -5, -18, -345, ...)
Positive Integers represent a gain or an
increase. ( Ex. +3, +25, +467, ...)
Positive
Integers
Emmit Smith gained 25 yards on his last play.
+ 25
The elevator went up 6 floors.
+6
The level of the pool water rose 3 inches after
the big rain.
+3
The babies weight increased 5 lbs. in the first
two months.
+5
Negative
Integers
Clarisse lost 12 pounds on her diet.
-12
Jack walked down 6 floors in his
apartment building.
-6
The temperature on Saturday decreased -10
10 degrees after the storm.
Label each either positive or
negative…
1)
2)
3)
4)
5)
6)
7)
8)
Profit of $5
Win $10
Decrease of 6 degrees
Rise of 8 degrees
Earn $12
Lose 3 lbs
Fall in price of $25
Plus 20 pounds
9) Increase of 9 yards
10) Withdraw $40
11) Spend $15
12) Minus 9 inches
13) Back/backwards 4 yards
14) Deposit $ 80
15) Bonus of $50
16) Gain of 15 yards
Opposite Integers
3 units
-3
-4
-3
3 units
+3
-2
-1
0 +1 +2 +3 +4 +5
Integers that are the same distance
from zero are OPPOSITE integers.
-3 and +3 are opposites because they are
both 3 units from zero
Absolute Value
-4
-3
-2
-1
0 +1 +2 +3 +4 +5
The absolute value of a number tells
how far an integer is from zero.
The symbol for absolute value is I I
I2I =
2
units from zero
I -4 I =
4 units from zero
Absolute Value
-4
-3
-2
-1
0 +1 +2 +3 +4 +5
Find the absolute value of :
I - 25 I
=
25
I 43 I
=
43
I - 768 I
=
768
Comparing
Positive Integers are like money you have.
The higher the positive number the richer
you are.
Negative Integers are like money you owe.
The higher the negative number the
poorer you are
Integers on a
Number Lin e
smaller
-4
-3
bigger
-2
-1
0 +1 +2 +3 +4 +5
Which is greater? -8 or +2
Which is greater? +5 or +3
Which is smaller? -4 or -10
Which is smaller? -6 or 0
Positives are always greater than negatives.
Opposites
Positive integers have
an opposite Negative
integer.
Opposites are the same distance
from 0 on the number line in
opposite directions.
Ex.
opposite of
opposite of
opposite of
opposite of
-16
+4
-67
+35
_______
_______
_______
_______
Order
The number line can also help
you put integers in order.
If the numbers are written
down as they would appear on
the number line, they will be
in order from least to greatest.
-5
-4
-3
-2
-1
0
+1
+2
+3
+4
+5
Order from least to greatest.
-2
+5
+1
-7
0
-4
+6
+6
How did you
do?
-7, -4, -2, 0, +1, +5, +6
Good Job!!!!!