Adding Integers

Adding Integers

Review

What is an integer?

An integer is a whole number… -3,-2,-1,0,1,2,3…..

Multiple Choice

An Integer is...

• a fraction.

• an operation.

• a positive or negative whole number.

• the answer to a division problem.

Multiple Select

Which numbers below are integers?

• -5

• 10

• 1/2

• 0

Absolute Value

The absolute value of an integer is the distance between the number and 0 on a number line.

Multiple Choice

Solve:

 $\left|7\right|$  =

• -7

• 7

• 0

• 14

Multiple Choice

Solve:

 $\left|-5\right|$  =

• 0

• 15

• 10

• 5

Comparing Values

• A number line can be used to compare and order integers

• Numbers to the left are less than numbers to the right

• 2 <5 (2 is to the left of 5 on the number line)

•  $-1\ <\left|4\right|$  (-1 is to the left of 4 on the number line)

Multiple Choice

|-2| ___ -1

• <

• >

• =

Multiple Choice

9 ____ |-9|

• <

• >

• =

Adding Integers with the same sign

• Add the numbers and use the common sign.

• 2+5=7

• (-2)+(-5)= -7

Multiple Choice

 $7+13=$   

• 6

• 20

• 0

• -20

Multiple Choice

 $(-8)+(-5)=$  

•  $-13$  
  

•  $13$  
  

•  $3$  
  

•  $-3$  
  

Adding integers with different signs

• Subtract the lesser value from the greater value. Then use the sign of the integer with the greater value.

• 8+ (-10)= 10-8= 2… Which integer is larger? 10-> so we use the negative sign. The answer is -2

• (-13)+17= 17-13= 4.. Which integer is larger? 17-> so we use the positive sign. The answer is 4

Multiple Choice

 $(-2)+11=$  

•  $13$  
  

•  $9$  
  

•  $-13$  
  

•  $5$  
  

Multiple Choice

An Additive Inverse of a number is...

• its opposite value.

• adding zero.

• adding a place value.

• the opposite of multiplication.

Multiple Choice

 $(-31)+31=$  

•  $62$  

•  $0$  

•  $13$  

•  $31$