Operations with Integers

Integers

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What are integers?

• Include all Whole Number and their OPPOSITES

• Integers DO NOT include fractions, or decimals

What are opposites?

The opposite number, is a number that is the same distant from zero on the number line in the opposite direction.

Zero is neither positive or negative and does not have an opposite.

Multiple Choice

What is the opposite of 6

• 
  

  $$\frac{1}{6}$$

• 0

• -6

• 6

Multiple Select

What numbers are integers?

• 5

• 2.5

• $$-\frac{1}{9}$$

• 2,301

• -12

Absolute Value

• The distance a value is from zero

• Distance cannot be negative

• If you walk forward 3 steps or you walked backward 3 steps, you still covered the same amount of ground

Multiple Choice

Is the absolute value of a number ever negative?

• yes

• no

• sometimes

Multiple Select

What words would represent a negative value?

• Withdraw

• Debit

• Bonus

• Deduct

• Credit

Multiple Choice

How would you represent 500 ft below sea level

• $$\frac{1}{500}$$

• 500

• -500

Multiple Choice

How would you represent the absolute value of -23?

• $$\left|-23\right|=-23$$

• $$\left|-23\right|=0$$

• $$\left|-23\right|=23$$

• $$\left|-23\right|=\left|23\right|$$

Multiple Select

When could you use negative numbers in real life?

• Money

• Distance

• Temperature

• Height

Integer Operations

You can do different math operations with integers.

Addition

Subtraction

Multiplication

Division

Adding Integers

Multiple Choice

$$-9\ +\ 2$$  

• -11

• -18

• -7

• 11

Multiple Choice

$$80\ +\ 57$$  

• 23

• 137

• -23

• -137

Multiple Choice

$$-32\ +\ 48$$  

• 16

• 80

• -16

• -80

Subtracting Integers

• KEEP, CHANGE, CHANGE!

  
  

• What do we Keep, Change, Change?

   KEEP the sign of the first number the same, change subtraction to addition, and change the sign of the second number ! 

• What happens after the Keep, Change, Change is complete?

   Use addition rules !  

Multiple Choice

Rewrite

$$2\ -\ \left(-5\right)$$  

• $$2+\left(+5\right)$$  

• $$2+\left(-5\right)$$  

• $$-2+\left(+5\right)$$  

• $$2-\left(-5\right)$$  

Multiple Choice

$$3-\left(-7\right)$$  

Solve

• -4

• 4

• -10

• 10

Multiple Choice

$$-18-7$$  

Solve

• -25

• 11

• 25

• -11

Multiplying & Dividing Integers

Multiple Choice

$$\frac{2}{2}$$   (means 2 ÷ 2)

solve

• 4

• 0

• 1

Multiple Choice

$$\left(-3\right)\left(-9\right)$$  

solve

• -12

• -6

• 27

• -27

Multiple Choice

$$\left(-9\right)\left(-6\right)\left(2\right)$$  

• -13

• 17

• 108

• -108