We included **HMH Into Math Grade 7 Answer Key**** PDF** **Module 5 Multiply and Divide Rational Numbers **to make students experts in learning maths.

## HMH Into Math Grade 7 Module 5 Answer Key Multiply and Divide Rational Numbers

**The Price is Not Right**

A supermarket sells four different brands of granola. All of the brands are similar in quality, but one brand is much less popular with customers than the other three brands

Find the cost per ounce.

Answer:

Option A

Cost per unit = $4.10

Weight per unit in ounces = 16.4 oz

Cost per ounce = $4.10 ÷ 16.4

= $0.25

Option B

Cost per unit = $1.98

Weight per unit in ounces = 8.25 oz

Cost per ounce = $1.98 ÷ 8.25

= $0.24

Option C

Cost per unit = $3.78

Weight per unit in ounces = 8.4 oz

Cost per ounce = $3.78 ÷ 8.4

= $0.45

Option D

Cost per unit = $3.38

Weight per unit in ounces = 13 oz

Cost per ounce = $3.38 ÷ 13

= $0.26

**Turn and Talk**

Based on the prices, which brand of granola do you think is the least popular? Explain.

Answer:

The healthy day granola bar is least popular by comparing the price with other brands price.

**Are You Ready?**

**Complete these problems to review prior concepts and skills you will need for this module.**

**Multiply with Decimals**

**Find each product.**

Question 1.

3.4 × 0.8 ___

Answer:

2.72

Explanation:

The product of the given expression is 2.72.

Question 2.

1.68 × 2.5 ___

Answer:

4.2

Explanation:

The product of the given expression is 4.2.

Question 3.

0.45 × 0.08 ____

Answer:

0.036

Explanation:

The product of the given expression is 0.036

Question 4.

Apples cost $1.47 per pound. Danielle buys an apple that weighs 0.62 pound. To the nearest cent, how much does Danielle’s apple cost?

_________________

Answer:

Apple cost $1.47 per pound.

The apple weight bought by Danielle is 0.62 pounds.

1 apple cost is 0.62 × 1.47 = 0.9114

Now convert to cent

Therefore Danielle’s apple cost is 0.9114 × 100 = 91.14

The nearest cent is 91 cents.

**Division Involving Decimals**

**Find each quotient.**

Question 5.

1.38 ÷ 0.3 ____

Answer:

4.6

Explanation:

The quotient for the given expression is 4.6

Question 6.

76.56 ÷ 2.4 ___

Answer:

31.9

Explanation:

The quotient for the given expression is 31.9

Question 7.

0.287 ÷ 0.35 ___

Answer:

0.82

Explanation:

The quotient for the given expression is 0.82.

Question 8.

A bicycle track forms a loop with a length of 3.2 miles. Trashcans are placed along the track every 0.2 mile. How many trashcans are placed along the track?

Answer:

16

Explanation:

Based on the given question, calculate : 3.2÷0.2

Next multiply both the numerator and denominator with the same 10

\(\frac{32}{2}\) = 16

Therefore the trashcans are placed along the track is 16.

**Divide Fractions and Mixed Numbers**

**Find each quotient.**

Question 9.

3 ÷ \(\frac{1}{5}\) ____

Answer:

15

Explanation:

The quotient for the given expression is 15

3 × 5 = 15

Question 10.

\(\frac{7}{8}\) ÷ \(\frac{1}{2}\) ____

Answer:

\(\frac{7}{4}\).

Explanation:

\(\frac{7}{8}\) × 2

\(\frac{7}{4}\).

The quotient for the given expression is \(\frac{7}{4}\).

Question 11.

3\(\frac{2}{3}\) ÷ \(\frac{3}{5}\) ____

Answer:

\(\frac{55}{9}\)

Explanation:

3\(\frac{2}{3}\) ÷ \(\frac{3}{5}\)

\(\frac{11}{3}\) × \(\frac{5}{3}\)

\(\frac{55}{9}\)

Question 12.

One serving of rice is equal to \(\frac{3}{4}\) cup. Gerardo makes 4 cups of rice. How many servings of rice did Gerardo make?

Answer:

\(\frac{16}{3}\)

Explanation:

Given,

one serving = \(\frac{3}{4}\) cup.

Gerardo makes 4 cups of rice

The number of servings of rice Gerardo made is 4 × \(\frac{4}{3}\)

= \(\frac{16}{3}\)