## Math Expressions Common Core Grade 5 Unit 3 Lesson 1 Answer Key Basic Multiplication Concepts

**Math Expressions Grade 5 Unit 3 Lesson 1 Homework**

**Solve. Write a multiplication equation for each problem.**

Miguel swam 6 lengths of the pool. Po Lan swam 3 times as far as Miguel. Lionel swam \(\frac{1}{3}\) as far as Miguel.

Question 1.

How many lengths did Po Lan swim? _____

Write the equation. ____

Answer:

The lengths did Po Lan swim = 3.

Explanation:

In the above-given question,

given that,

Miguel swam 6 lengths of the pool.

Po Lan swam 3 times as far as Miguel. Lionel swam \(\frac{1}{3}\) as far as Miguel.

6 + 3 + 1/3.

6 + 3 + 0.3.

9.3.

Question 2.

How many lengths did Lionel swim? _____

Write the equation. _____

Answer:

The lengths did Po Lionel swim = 1/3.

Explanation:

In the above-given question,

given that,

Miguel swam 6 lengths of the pool.

Po Lan swam 3 times as far as Miguel. Lionel swam \(\frac{1}{3}\) as far as Miguel.

6 + 3 + 1/3.

6 + 3 + 0.3.

9.3.

Chris cut a length of rope that was 12 feet long. Dayna cut a rope 4 times as long as Chris’s rope. Benita cut a rope \(\frac{1}{4}\) as long as Chris’s rope.

Question 3.

How long is Dayna’s rope? ____

Write the equation. _____

Answer:

The length of Dayna’s rope = 4.

Explanation:

In the above-given question,

given that,

Chris cut a length of rope that was 12 feet long.

Dayna cut a rope 4 times as long as Chris’s rope.

Benita cut a rope \(\frac{1}{4}\) as long as Chris’s rope.

12/3.

4.

so the length of Dayna’s rope = 4.

Question 4.

How long is Benita’s rope? _____

Write the equation. _____

Answer:

The length of Benita’s rope = 3.

Explanation:

In the above-given question,

given that,

Chris cut a length of rope that was 12 feet long.

Dayna cut a rope 4 times as long as Chris’s rope.

Benita cut a rope \(\frac{1}{4}\) as long as Chris’s rope.

12 x 1/4.

3.

so the length of Benita’s rope = 3.

**Write two statements for each pair of treats. Use the word times.**

Question 5.

Compare cookies and drinks.

Answer:

32.

Explanation:

In the above-given question,

given that,

the treats are sweet potato, drinks, and cookies.

sweet potato is 22.

drinks is 8.

pizzas is 2.

drink + cookies.

8 + 2 + 22 = 32.

Question 6.

Compare drinks and pizzas.

Answer:

10.

Explanation:

In the above-given question,

given that,

the treats are sweet potato, drinks, and cookies.

sweet potato is 22.

drinks is 8.

Pizzas is 2.

drink + pizzas.

8 + 2 = 10.

Question 7.

Compare cookies and pizzas.

Answer:

32.

Explanation:

In the above-given question,

given that,

the treats are sweet potato, drinks, and cookies.

sweet potato is 22.

drinks is 8.

pizzas is 2.

drink + cookies.

8 + 2 + 22 = 32.

**Solve.**

Question 8.

\(\frac{1}{3}\) . 18 = ____

Answer:

1/3 x 18 = 6.

Explanation:

In the above-given question,

given that,

\(\frac{1}{3}\) . 18.

1/3 x 18.

6 x 3 = 18.

18/3 = 6.

1/3 x 18 = 6.

Question 9.

\(\frac{1}{4}\) of 12 = ____

Answer:

1/4 x 12 = 3.

Explanation:

In the above-given question,

given that,

\(\frac{1}{4}\) . 12.

1/4 x 12.

4 x 3 = 12.

12/4 = 3.

1/4 x 12 = 3.

Question 10.

\(\frac{1}{8}\) . 32 = ____

Answer:

1/8 x 32 = 4.

Explanation:

In the above-given question,

given that,

\(\frac{1}{8}\) . 32.

1/8 x 32.

8 x 4 = 32.

32/8 = 4.

1/8 x 32 = 4.

Question 11.

\(\frac{1}{9}\) of 27 = ____

Answer:

1/9 x 27 = 3.

Explanation:

In the above-given question,

given that,

\(\frac{1}{9}\) . 27.

1/9 x 27.

9 x 3 = 27.

27/9 = 3.

1/9 x 27 = 3.

Question 12.

\(\frac{1}{8}\) . 56 = ____

Answer:

1/8 x 56 = 7.

Explanation:

In the above-given question,

given that,

\(\frac{1}{8}\) . 56.

1/8 x 56.

8 x 7 = 56.

56/8 = 7.

1/8 x 56 = 7.

Question 13.

\(\frac{1}{3}\) of 15 = ____

Answer:

1/3 x 15 = 5.

Explanation:

In the above-given question,

given that,

\(\frac{1}{3}\) . 15.

1/3 x 15.

5 x 3 = 15.

15/3 = 5.

1/3 x 15 = 5.

**Math Expressions Grade 5 Unit 3 Lesson 1 Remembering**

Use the number lines to complete Exercises 1-3.

Question 1.

If you run \(\frac{2}{3}\) mile, how many sixths have you run?

Answer:

The number of sixths has you run = 4/6.

Explanation:

In the above-given question,

given that,

thirds, sixths, and twelfths.

4/6 = 2/3.

so the number of sixths has you run = 4/6.

Question 2.

If you measure \(\frac{5}{6}\) meter, how many twelfths have you measured?

Answer:

The number of twelfths we have measured = 10/12.

Explanation:

In the above-given question,

given that,

thirds, sixths, and twelfths.

10/12.

5/6.

so the number of twelfths we have measured = 10/12.

Question 3.

If you have \(\frac{8}{12}\) of a pizza, how many thirds do you have?

Answer:

The number of thirds we have = 2/3.

Explanation:

In the above-given question,

given that,

thirds, sixths, and twelfths.

8/12.

2/3.

**Write each fraction as a decimal.**

Question 4.

\(\frac{76}{1,000}\) = ____

Answer:

76/1000 = 0.076.

Explanation:

In the above-given question,

given that,

write each fraction as a decimal.

76/1000.

0.076.

Question 5.

\(\frac{7}{10}\) = ____

Answer:

7/10 = 0.7.

Explanation:

In the above-given question,

given that,

write each fraction as a decimal.

7/10.

0.7.

Question 6.

\(\frac{49}{100}\) = ____

Answer:

49/100 = 0.49.

Explanation:

In the above-given question,

given that,

write each fraction as a decimal.

49/100.

0.49.

Question 7.

\(\frac{32}{1,000}\) = ____

Answer:

32/1000 = 0.032.

Explanation:

In the above-given question,

given that,

write each fraction as a decimal.

32/1000.

0.032.

**Add or subtract.**

Question 8.

0.28 + 0.43 = ______

Answer:

0.28 + 0.43 = 0.71.

Explanation:

In the above-given question,

given that,

add the numbers.

the numbers are 0.28 and 0.43.

0.28 + 0.43.

0.71.

Question 9.

0.7 + 0.04 = ______

Answer:

0.7 + 0.04 = 0.74.

Explanation:

In the above-given question,

given that,

add the numbers.

the numbers are 0.7 and 0.04.

0.7 + 0.04.

0.74.

Question 10.

7.8 – 1.95 = ______

Answer:

7.8 – 1.95 = 5.85.

Explanation:

In the above-given question,

given that,

subtract the numbers.

the numbers are 7.8 and 1.95.

7.8 – 1.95.

5.85.

Question 11.

**Stretch Your Thinking** Draw a diagram that shows \(\frac{1}{5}\) times 30 equals 6.

Answer: