Download Introduction to Integers - Monroe Township School District

 Positive
number – a number
greater than zero.
0 1 2 3 4 5 6
 Negative
number – a number
less than zero.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Opposite Numbers – numbers that
are the same distance from zero in
the opposite direction
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Example 1: The opposite of 7 is -7.
9 are opposites.
Example 3: -9 and ___
What is the sum of a number and its opposite? 0.

Integers – Integers are all the
whole numbers and all of their
opposites on the number line
including zero.
Example: 0, 1, 2, 3, 4 …
Example: -1, -2, -3, -4 …


Rational Numbers – Numbers that can be
expressed as one integer divided by
another non-zero integer.
Examples:
3 −7 3
, , ,
4 8 −1
and 0.75

Absolute Value – The distance a
number is from 0 on a number line.
Example 1:
The absolute value of 3 or of –3 is 3.
-6
-5
-4
-3
-2
-1
0
1
Example 2: Using Symbols
5 𝑜𝑟 −5 =___
5
5 = ____
2
3
4
5
6
Example:
The temperature in Antarctica was 34 degrees
below 0 or -34°
Example: The
diver dove 20
feet below sea
level.
OR
-20 feet
ZERO: In this case, zero
represents that you are
standing at the surface of
the ocean.
30
20
10
0
-10
-20
-30
-40
-50
Let’s say your parents bought a car but
had to get a loan from the bank for $5,000.
How can we represent the amount of
money your parents have as an integer?
-$5,000
ZERO: In this case, zero
represents that you no
longer owe any money
for the car.

Example: Mary and George walked into an
apartment building and went to the elevator.
They needed to go to the sixth floor to visit
their cousin. How can we represent the
number of floors they ascended?
 +6
ZERO: In this case, zero
represents the ground
floor where Mary and
George walked into the
elevator.
 If
you don’t see a negative or
positive sign in front of a
number it is positive.
+9 and 9 represent the same number
Write an integer to represent each
situation below.
• You gain 10 yards on the football field.
• You owe your brother $25.
• You lose 5 pounds on a diet.
• You earn $30 mowing lawns.
Write a real-life situation to
represent the integers below. Be
creative!
• - 45
• 24
• - 56
• 66