M
Math Coach Amy
Amy Ferguson Moncure

7th Grade Math · Unit 7

Rational Numbers
in Real Life

Choose addition, subtraction, multiplication, or division from the story.

Jump to section:

What to Remember

Match the story

The operation comes from the story.

Drops and equal groups

A drop is subtraction or adding a negative.

Equal groups are multiplication or division.

Level 1

Easy

Add a signed change

Example
The morning temperature starts at 20 degrees and the change is −3.5 degrees. What is the result?

Adding a negative is subtraction.

result = 20 − 3.5

result = 16.5

Answer: 16.5 degrees

1
The afternoon temperature starts at 6.2 degrees and the change is 1.4 degrees. What is the result?
Show Answer

result = start + change

result = 6.2 + 1.4

result = 7.6

Answer: 7.6 degrees

2
The evening temperature starts at 4.5 degrees and the change is −2.5 degrees. What is the result?
Show Answer

Adding a negative is subtraction.

result = 4.5 − 2.5

result = 2

Answer: 2 degrees

3
A trail elevation starts at 14.25 meters and the change is −2.5 meters. What is the result?
Show Answer

Adding a negative is subtraction.

result = 14.25 − 2.5

result = 11.75

Answer: 11.75 meters

4
A hill elevation starts at 8 meters and the change is 3.75 meters. What is the result?
Show Answer

result = start + change

result = 8 + 3.75

result = 11.75

Answer: 11.75 meters

5
A valley elevation starts at −12.5 meters and the change is 4.25 meters. What is the result?
Show Answer

result = start + change

result = −12.5 + 4.25

result = −8.25

Answer: −8.25 meters

6
A wallet balance starts at 10.5 dollars and the change is −4.25 dollars. What is the result?
Show Answer

Adding a negative is subtraction.

result = 10.5 − 4.25

result = 6.25

Answer: 6.25 dollars

7
A savings balance starts at 3.25 dollars and the change is 1.5 dollars. What is the result?
Show Answer

result = start + change

result = 3.25 + 1.5

result = 4.75

Answer: 4.75 dollars

8
A checking balance starts at 15 dollars and the change is −6.5 dollars. What is the result?
Show Answer

Adding a negative is subtraction.

result = 15 − 6.5

result = 8.5

Answer: 8.5 dollars

9
A game score starts at 7.5 points and the change is 2.25 points. What is the result?
Show Answer

result = start + change

result = 7.5 + 2.25

result = 9.75

Answer: 9.75 points

10
A quiz score starts at −2.5 points and the change is 6 points. What is the result?
Show Answer

result = start + change

result = −2.5 + 6

result = 3.5

Answer: 3.5 points

Level 2

Medium

Equal groups

Example
A stock changes by −1.5 points each day for 4 days. What is the total change?

result = number of groups × amount in each group

result = 4 × −1.5

result = −6

Answer: −6 points

1
Each of 3 tickets costs 2.5 dollars. What is the total cost?
Show Answer

result = number of groups × amount in each group

result = 3 × 2.5

result = 7.5

Answer: 7.5 dollars

2
Each of 5 ribbons is 1.25 meters long. What is the total length?
Show Answer

result = number of groups × amount in each group

result = 5 × 1.25

result = 6.25

Answer: 6.25 meters

3
The temperature changes by −0.75 degrees each hour for 6 hours. What is the total change?
Show Answer

result = number of groups × amount in each group

result = 6 × −0.75

result = −4.5

Answer: −4.5 degrees

4
A player scores 4.5 points in each of 2 rounds. What is the total score?
Show Answer

result = number of groups × amount in each group

result = 2 × 4.5

result = 9

Answer: 9 points

5
The elevation changes by −1.25 meters each minute for 8 minutes. What is the total change?
Show Answer

result = number of groups × amount in each group

result = 8 × −1.25

result = −10

Answer: −10 meters

6
A board of 3.75 meters is cut into 3 equal pieces. How long is each piece?
Show Answer

result = total ÷ number of groups

result = 3.75 ÷ 3

result = 1.25

Answer: 1.25 meters

7
A payment of 8.4 dollars is shared equally by 4 people. How much does each person pay?
Show Answer

result = total ÷ number of groups

result = 8.4 ÷ 4

result = 2.1

Answer: 2.1 dollars

8
A total change of −6.3 points is spread evenly across 3 rounds. What is the change each round?
Show Answer

result = total ÷ number of groups

result = −6.3 ÷ 3

result = −2.1

Answer: −2.1 points

9
5 bottles share 12.5 liters of juice equally. How much is in each bottle?
Show Answer

result = total ÷ number of groups

result = 12.5 ÷ 5

result = 2.5

Answer: 2.5 liters

10
A rope of 9.6 meters is cut into 8 equal pieces. How long is each piece?
Show Answer

result = total ÷ number of groups

result = 9.6 ÷ 8

result = 1.2

Answer: 1.2 meters

Level 3

Hard

A fraction story

Example
The first change is −12 point and the second is 13 point. Find the total change.

Add.

−12 + 13

The common denominator is 6.

−12 + 13

−16

Answer: −16 points

1
A balance changes by 34 dollar and then by −14 dollar. Find the total change.
Show Answer

Add.

Adding a negative is subtraction.

34 − 14

The common denominator is 4.

34 − 14

12

Answer: 12 dollars

2
The temperature changes by −23 degree and then by −16 degree. Find the total change.
Show Answer

Add.

Adding a negative is subtraction.

−23 − 16

The common denominator is 6.

−23 − 16

−56

Answer: −56 degrees

3
An elevation changes by 58 meter and then by 18 meter. Find the total change.
Show Answer

Add.

58 + 18

The common denominator is 8.

58 + 18

34

Answer: 34 meters

4
A score of 34 point subtracts a penalty of 12 point. Find the result.
Show Answer

Subtract.

34 − 12

The common denominator is 4.

34 − 12

14

Answer: 14 points

5
Start at −13 degree and subtract 16 degree. Find the result.
Show Answer

Subtract.

−13 − 16

The common denominator is 6.

−13 − 16

−12

Answer: −12 degrees

6
Start at 56 meter and subtract −13 meter. Find the result.
Show Answer

Subtract.

Subtracting a negative is addition.

56 + 13

The common denominator is 6.

56 + 13

76

Answer: 76 meters

7
Multiply 23 pound by −34. Find the product.
Show Answer

Multiply.

23 × −34

Multiply the numerators. Multiply the denominators.

−612

−12

Answer: −12 pounds

8
Multiply a change of −12 point by −45. Find the product.
Show Answer

Multiply.

−12 × −45

Multiply the numerators. Multiply the denominators.

410

25

Answer: 25 points

9
Divide 34 meter by 12. Find the quotient.
Show Answer

Divide.

34 ÷ 12

Multiply by the reciprocal of 12.

34 × 2

64

32

Answer: 32 meters

10
Divide −23 point by 45. Find the quotient.
Show Answer

Divide.

−23 ÷ 45

Multiply by the reciprocal of 45.

−23 × 54

−1012

−56

Answer: −56 points

Need help with this skill?

Book a Session with Amy