We included **HMH Into Math Grade 6 Answer Key**** PDF** **Module 4 Fluency with Multi-Digit Decimal Operations **to make students experts in learning maths.

## HMH Into Math Grade 6 Module 4 Answer Key Fluency with Multi-Digit Decimal Operations

**What’s the Best Route?**

A race will be held downtown. The diagram shows the lengths of the streets available for the race.

Plan a route that is approximately 10 kilometers long.

A. The race should begin and end at lettered points on the map. Trace your route on the map. Circle the starting and ending points.

B. What is the total length of your race route? ____ kilometers

Answer:

BC = 0.8 km

DE = 1.7 km

FG = 1.2 km

HJ = 0.5 km

BC + DE + FG + HJ = 0.8 + 1.7 + 1.2 + 0.5 = 4.2 km

Thus the total length of your race route is 4.2 kilometers.

**Turn and Talk**

- What strategies did you use to plan a route that is close to 10 kilometers in length?
- Compare your route with a partner’s. How are they similar? How are they different?

**Are You Ready?**

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

**Place Value of Decimals**

**Complete each statement.**

Question 1.

The value of 3 in 10.31 is _______ times as much as the value of 3 in 10.13.

Answer:

The value of 3 in 10.31 is 0.30

The value of 3 in 10.13 is 0.03

0.3 × 0.03 = 0.009

Question 2.

The value of 8 in 5.18 is ____ of the value of 8 in 5.81.

Answer:

The value of 8 in 5.18 is 0.08

The value of 8 in 5.81 is 0.8

0.08 × 0.8 = 0.064

Question 3.

The value of 7 in 17.92 is ____ times as much as the value of 7 in 92.17.

Answer:

The value of 7 in 17.92 is 7

The value of 7 in 92.17 is 0.07

7 × 0.07 = 0.49

**Compare Decimals**

**Complete the inequality or equation using the symbols <, >, or =.**

Question 4.

0.54 ____ 0.6

Answer:

0.54 is less than 0.60

0.54 < 0.60

Question 5.

1.30 ____ 1.3

Answer:

1.30 is equal to 1.3

1.30 = 1.3

Question 6.

0.22 ____ 0.18

Answer:

0.22 is greater than 0.18

0.22 > 0.18

**Add Fractions and Decimals**

**Complete the number sentence.**

Question 7.

2.67 + 8.52 = ____

Answer:

The sum of two decimal numbers 2.67 and 8.52 is 11.19

2.67 + 8.52 = 11.19

Question 8.

14.38 + 31.73 = ____

Answer: 46.11

The sum of two decimal numbers 14.38 and 31.73 is 46.11

14.38 + 31.73 = 46.11

**Multiply with Decimals**

**Complete the number sentence.**

Question 9.

3.14 × 6.25 = _____

Answer:

The product of two decimal numbers 3.14 and 6.25 is 19.625

3.14 × 6.25 = 19.625

Question 10.

5.02 × 7.35 = ____

Answer:

The product of two decimal numbers 5.02 × 7.35 is 36.89

5.02 × 7.35 = 36.89

**Division**

**Find the quotient.**

Question 11.

7,296 ÷ 24 = ____

Answer:

The quotient is 304 and the remainder is 0.

Question 12.

9,216 ÷ 18 = ____

Answer:

The quotient is 512 and the remainder is 0.