Adding and Subtracting Integers

Adding and Subtracting Integers

What are integers?

• Integers include all Whole Numbers and their OPPOSITES

• Integers DO NOT include fractions, or decimals

What are opposites?

• numbers that are the same distance from zero on the number line in the opposite direction.

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

• Absolute Value- distance from zero

• Zero pairs - are numbers that are opposites of each other

Multiple Choice

What is the opposite of -10?

• 0

• 10
  

• $$\frac{1}{10}$$  

• $$\frac{10}{1}$$  

Adding Integers

Multiple Choice

Which of These is an Integer?

• 45.34

• -2/5

• -374

• 0.05

Multiple Choice

What is the opposite of -10?

• +10

• 100

• 0

• -100

Multiple Choice

Which of These is a Zero Pair?

• 64, -46

• -64, 46

• 25, 0.25

• 25, -25

Multiple Choice

What is the Absolute Value of -12?

• -12

• 12

• 21

• -21

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 !  

Fill in the Blank

How would we re-write this equation to solve it? -17-4=?

-

+

(

-

)

=

-

Subtracting Integers

-To subtract an integer, add its opposite

3-4= 3+ (-4)=-1

Remember the Rule: KEEP, CHANGE, CHANGE

Multiple Select

HOW DO I WRITE THE FOLLOWING PROBLEM USING THE KEEP, CHANGE, CHANGE RULE?

$$5-\left(-4\right).$$  

• $$5-4=$$  

• $$5+4=$$  

Multiple Choice

HOW DO I WRITE THE FOLLOWING PROBLEM USING THE KEEP, CHANGE, CHANGE RULE?

$$\left(-3\right)-3=$$  

• $$\left(-3\right)+\left(-3\right)=$$  

• $$3+3=$$  

SUBTRACTION RULE

Keep the first number, change to addition, and change the second number to its opposite.

Subtracting Multiple Integers

Multiple Choice

$$\left|-8\right|\ =?$$  

• $$8$$  

• $$-8$$  

Multiple Choice

Evaluate the expression:

$$\left(-3\right)\ +\ \left(-8\right)=?$$  

• $$-11$$  

• $$-5$$  

Multiple Choice

Evaluate the expression:

$$\left(-4\right)\ +\ 16=\ ?$$  

• $$20$$  

• $$12$$  

Fill in the Blank

What about this one? 100- (-18) =