Transcript Introduction to Integers

 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 2: -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 #1 : 0, 1, 2, 3, 4 …
Example #2 : -1, -2, -3, -4 …
Rational Numbers – Numbers that can be
expressed as one integer divided by
another non-zero integer.
𝟑 −𝟕 𝟑
Examples: ,
,
, and 0.75
𝟒 𝟖 −𝟏
Absolute Value – A number’s distance from
0 on a number line.
Example 1:
-6
-5
-4
The absolute value of 3 and –3 = 3.
-3
-2
-1
0
1
Example 2: Using Symbols
5 𝑜𝑟 −5 =___
5
5 = ____
2
3
4
5
6



If two numbers have the same sign, they are on
the same side of zero.
If two numbers have the opposite signs, they
are on the opposite sides of zero.
-3 and -4.5 = Same side
2

3

and 1.3 = Same side
-6 and 2 = Opposite sides
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 6th floor to visit their
cousin. How can we represent the number of
floors they ascended?
ZERO: In this case, zero
represents the ground
floor where Mary and
George walked into the
elevator.
+6
 If
you don’t see a positive or
negative sign in front of a
number, then it is positive.
Example: +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 $25.00
 You lose 5 pounds on a diet.
 You earn $30.00 mowing lawns.
Write a real-life situation to represent
the integers below. Be creative!
 - 45
 24
 - 56
 66