Integers Unit

Lesson: Integers and Absolute Value

Where do we use integers in the Real World?TemperatureElevation (Death Valley, New Orleans)Stock MarketDebt

Integers: Positive, negative whole numbers and zero

Examples: 18 ft above sea level: 18 ft 100 ft below sea level: -100 ft 10 seconds before launch: -10 sec

Are the following numbers integers? Write yes or no.1.) 8 ____________ 2.) 2.65 ___________

3.) -4 ___________ 4.)  ___________

5.) Give an example of an integer _______________

6.) Write a number that is not an integer _________ 

Opposites: Two numbers that are the same distance from zero

Examples: Find the opposite.

a.) 4

b.) -3

c.) 0

d.) graph -5 and its opposite on the number line

-1 0-2-3-4-5 1 2 3 4 5

Absolute Value: A number's distance from zero (symbol: )

Examples: Find the absolute value.

a.) -5 =

b.) 7 =

c.) 9 =

d.) 0 =

Important: Absolute value is always positive, except zero

Comparing Integers: The further to the right a number is on the number line, the greater the number.

-1 0-2-3-4-5 1 2 3 4 5

Use the number line above to compare the integers. Use

>,< or =.

a.) -7 -8  b.) -18 1  c.) -15 -20

d.) -12 12  e.) -4 -3

Order from least to greatest. Use the number line to help.

1.) -3, 5, -4, 0 _______________________  

2.) -4, 2, 0, -1  _______________________

3.) -2, 3, -5, 1   _______________________

-1 0-2-3-4-5 1 2 3 4 5

Demonstrate Understanding: Integers and Absolute Value

1.) Compare: 21 -22

2.) Graph the integers on the number line. Then order from least to greatest: -11, -2, 0, 2, 7, -3

3.) Graph -3 and its opposite on the number line.

-1 0-2-3-4-5 1 2 3 4 5

-4 -2-6-8-10-12 0 2 4 6 8

4.) -2 5.) 78   6.) 0

Find each absolute value.

Write each opposite.

7.) -5 8.) 9 9.) 4