Integer Operations with Word Problems

Integer Operations with Word Problems

Adding Integers

• SAME SIGNS: Keep the same sign in your answer and ADD

• Ex: 3 + 4 =7

• Ex: (-3) + (-4) = -7

• DIFFERENT SIGNS: Keep the sign of the number with the larger magnitude and SUBTRACT

• Ex: 7 + (-3) = 4

• Ex: (-7) + 3 = -4

Multiple Choice

5 + 4

• 20

• 1

• 9

Multiple Choice

(-9) + 2

• -11

• -7

• -18

• 11

Multiple Choice

5 + (-5)

• 0

• 10

• 1

• -10

Subtracting Integers

• Rewrite any subtraction problem using the rule: "Keep, change, change"

• Ex: 3 - 5 is rewritten as 3 + (-5)

• Then use the addition rule that applies.

• Ex: 3 - 5 becomes 3 + (-5) = -2

Multiple Choice

Rewrite 9 - (-6) as an addition problem

• 9 + 6

• -9 + 6

• 9 + (-6)

• 9 - (-6)

Multiple Choice

3 - (-7)

• -4

• -10

• 4

• 10

Multiple Choice

-18 - 7

• -25

• -11

• 11

• 25

Multiplying and Dividing Integers

• SAME SIGNS: Positive answer

• DIFFERENT SIGNS: Negative answer

• Multiply or divide as usual

•  $8\times2=16$  

•  $\left(-8\right)\times2=-16$  

•  $8\div\left(-2\right)=-4$  

•  $\left(-8\right)\div\left(-2\right)=4$  

Multiple Choice

 $2\div2$  

• 1

• 0

• 4

Multiple Choice

 $\left(-9\right)\times\left(-3\right)$  

• -11

• -6

• -27

• 27

Multiple Choice

 $\left(-11\right)\times3$  

• -8

• 8

• -33

• 33

Multiple Choice

 $-12\div6$  

• 2

• -2

• 6

• -6

Multiple Choice

 $\left(-30\right)\div\left(-6\right)$  

• -36

• 36

• -5

• 5

Poll

How do you feel about integer operations?

• I still need help

• I could use a little more practice

• I get it

• I'm ready for a challenge

Multiple Choice

The temperature on Sunday was -15^o C. The next day, the temperature went down 12 degrees. What was the temperature the next day?

• -27

• 27

• -3

• 3

Multiple Choice

A submarine was 52 ft. below sea level. It ascended 38 ft. toward the surface. What is the depth of the submarine?

• 90 ft below sea level

• 26 ft below sea level

• 14 ft below sea level

Multiple Choice

On a certain day, the temperature changed at a rate of -2 degrees per hour. How long did it take for the total change in temperature to be -14 degrees?

• 7 hours

• 5 hours

• -7 hours

• -5 hours

Multiple Choice

Lindsay owes 3 people $5 each. Which value shows her total debt?

• $15

• $2

• -$15

• -$8