Decimal Division Word Problems

**Page 1**

1.

Find the quotient of 3.2 ÷ 0.4.

a. | 3 | ||

b. | 6 | ||

c. | 12 | ||

d. | 8 |

Model the decimal 3.2 as shown.

Circle groups of 0.4 as shown.

There are 8 groups.

So, the quotient is 8.

Correct answer : (4)

2.

Using models, find the quotient of 0.5 ÷ 0.05.

a. | 0.01 | ||

b. | 0.001 | ||

c. | 0.1 | ||

d. | 10 |

Model the decimal 0.5 as below.

Circle groups of 0.05 as below.

There are 10 groups.

So, the quotient is 10.

[0.05 × 10 = 0.5]

Correct answer : (4)

3.

Find.

161.28 ÷ 42

a. | 3.84 | ||

b. | 38.4 | ||

c. | 384 | ||

d. | 3.084 |

[Original expression.]

The quotient of 161.28 ÷ 42 is 3.84.

Correct answer : (1)

4.

Find: 128 ÷ 4

a. | 32 | ||

b. | 30 | ||

c. | 3 | ||

d. | 3.2 |

[Original expression.]

The quotient of 128 ÷ 4 is 32.

Correct answer : (1)

5.

Brian's school is 6.45 mi away from his house. How long would it take him to reach his school, if he walks at the rate of 5 miles per hour?

a. | 1.29 hours | ||

b. | 1.029 hours | ||

c. | 0.129 hours | ||

d. | 12.9 hours |

[Brian walks at the rate of 5 miles per hour, which means that he takes 1 hour to cover 5 miles, so, he will take a little more than an hour to cover 6.45 miles. ]

So, Brian can reach his school in 1.29 hours walking at the rate of 5 miles per hour.

Correct answer : (1)

6.

Find: $\frac{0.1435}{0.7}$

a. | 0.205 | ||

b. | 0.250 | ||

c. | 0.350 | ||

d. | 0.305 |

[Original expression.]

0.7 × 10 = 7

[Multiply the divisor by 10 to make a whole number.]

0.1435 × 10 = 1.435

[Multiply the dividend by the same number which is multiplied by the divisor.]

The quotient of

Correct answer : (1)

7.

Danielle paid $11.20 for 14 basketballs. What is the cost of each basketball?

a. | $0.008 | ||

b. | $8 | ||

c. | $0.80 | ||

d. | $0.08 |

11.2 ÷ 14

[Original equation.]

So, the cost of each basketball = $0.80.

Correct answer : (3)

8.

Francis spent $2.65 on tea leaves. The tea leaves cost $0.05 per ounce. How many ounces of tea leaves did Francis purchase?

a. | 53 | ||

b. | 52 | ||

c. | 55 | ||

d. | 57 |

= 2.65 ÷ 0.05

[Original Equation.]

0.05 × 100 = 5

[Multiply the divisor by 100 to make it as a whole number.]

2.65 × 100 = 265

[Multiply the dividend by the same number.]

[Move both decimal points the same number of spaces to the right.]

Francis purchased 53 ounces of tea leaves.

Correct answer : (1)

9.

A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?

a. | 0.68 miles | ||

b. | 0.068 miles | ||

c. | 68 miles | ||

d. | 6.8 miles |

[Original expression.]

Mean distance of each diver is 6.8 miles.

Correct answer : (4)