Slide 1: Integers
Slide 2: Understanding Integers
Integers are the set of all whole numbers and their opposites.
Integers can be expressed as positive numbers or negative numbers.
Positive numbers are greater than 0 but usually are not written with a + before them.
Negative numbers are less than 0 and are always written with a – before them.
Slide 3: Integer Notes
You can graph positive and negative numbers on a number line.
On a number line, opposites are the same distance from 0 but on different sides of 0
-3 -2 -1 0 1 2 3
-3 and 3 are opposites
Slide 4: Understanding Integers
0 is neither positive nor negative
The absolute value of a number is its distance from 0 on a number line. The symbol for absolute value is | |.
Absolute values are never negative
Opposite integers have the same absolute value
|-3| = |3|
Slide 5: Understanding Integers
Integers are used to express many different situations in everyday life.
Some representations include - temperature, gains or losses of money and stocks, above or below sea level, elevations, and many more.
A few examples include:
a 15 yard gain in football = +15
a temperature of 10 below 0 = -10
100 ft below sea level = -100
Slide 6: Integer Practice
Name a positive or negative number to represent each situation.
A gain of 10 points
A loss of 15 yards
Use the number line to find the absolute value of each integer. -3 -2 -1 0 1 2 3
3. |-2|
4. |1|
Slide 7: Integer Practice
Find the absolute value of each integer.
|841|
|-95|
Identify the opposite of each integer.
-19
20
-3
187
Slide 8: Integer Practice Answers
1. +10
2. -15
2
1
841
95
19
-20
3
-187