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## Math Expressions Common Core Grade 5 Unit 3 Lesson 8 Answer Key Solve Real World Problems

**Math Expressions Grade 5 Unit 3 Lesson 8 Homework**

**Complete each fraction box.**

**Unit 3 Lesson 8 Solve Real World Problems Math Expressions Question 1.**

Answer:

0.875 + 0.75 = 1.625.

0.875 . 0.75 = 0.656.

0.875 – 0.75 = 0.125.

Explanation:

In the above-given question,

given that,

the fractions are 7/8 and 3/4.

add, multiply, subtract the fractions.

7/8 + 3/4.

7/8 = 0.875.

3/4 = 0.75.

0.875 + 0.75 = 1.625.

0.875 . 0.75 = 0.656.

0.875 – 0.75 = 0.125.

**Unit 3 Lesson 8 Answer Key Math Expressions Solve Real-World Problems Question 2.**

Answer:

3/5 > 1/2.

0.5 + 0.6 = 1.1.

0.5 . 0.6 = 0.3.

0.5 – 0.6 = 0.1.

Explanation:

In the above-given question,

given that,

the fractions are 1/2 and 3/5.

add, multiply, subtract the fractions.

1/2 + 3/5.

1/2 = 0.5.

3/5 = 0.6.

3/5 > 1/2.

0.5 + 0.6 = 1.1.

0.5 . 0.6 = 0.3.

0.5 – 0.6 = 0.1.

**Solve. Show your Work.**

**Unit 3 Lesson 8 Math Expressions Solve Real-World Problems Question 3.**

The Eagle Trucking Company must deliver \(\frac{7}{8}\) ton of cement blocks and \(\frac{5}{8}\) ton of bricks to one place. How much will this load weigh?

Answer:

The weight of the load = 1.5 tons.

Explanation:

In the above-given question,

given that,

The Eagle Trucking Company must deliver \(\frac{7}{8}\) ton of cement blocks and \(\frac{5}{8}\) ton of bricks to one place.

7/8 + 5/8.

7/8 = 0.875.

5/8 = 0.625.

0.875 + 0.625 = 1.5.

so the weight of the load = 1.5 ton.

**Lesson 8 Answer Key Math Expressions Solve Real-World Problems Question 4.**

A truck carried 3\(\frac{1}{3}\) tons of sand, but lost \(\frac{1}{4}\) ton along the way. How many tons of sand were delivered?

Answer:

The number of tons of sand that were delivered = 3.05.

Explanation:

In the above-given question,

given that,

A truck carried 3\(\frac{1}{3}\) tons of sand, but lost \(\frac{1}{4}\) ton along the way.

3(1/3) – 1/4.

10/3 – 1/4.

3.3 – 0.25.

3.05.

so the number of tons of sand was delivered = 3.05.

Question 5.

The trucking company also needs to deliver 1\(\frac{2}{3}\) tons of oak logs and 1\(\frac{7}{12}\) tons of maple logs. Which load weighs more?

Answer:

The weight of maple logs is more.

Explanation:

In the above-given question,

given that,

The trucking company also needs to deliver 1\(\frac{2}{3}\) tons of oak logs and 1\(\frac{7}{12}\) tons of maple logs.

1(2/3) and 1(7/2).

5/3 = 1.6.

9/2 = 4.5.

so the weight of maple logs is more.

Question 6.

In a load of \(\frac{3}{4}\) ton of steel rods, \(\frac{1}{8}\) of them are bent. How many tons of steel rods are bent?

Answer:

The number of tons of steel rods is bent = 0.625.

Explanation:

In the above-given question,

given that,

In a load of \(\frac{3}{4}\) ton of steel rods, \(\frac{1}{8}\) of them are bent.

3/4 and 1/8.

3/4 = 0.75.

1/8 = 0.125.

0.75 – 0.125 = 0.625.

so the number of tons of steel rods is bent = 0.625.

Question 7.

The company delivered 1\(\frac{3}{5}\) tons of bricks to one building site. They delivered 2\(\frac{1}{2}\) times this much to a second site. What was the weight of the load the company delivered to the second site?

Answer:

The weight of the load the company delivered to the second site = 0.9 tons.

Explanation:

In the above-given question,

given that,

The company delivered 1\(\frac{3}{5}\) tons of bricks to one building site.

They delivered 2\(\frac{1}{2}\) times this much to a second site.

1(3/5) and 2(1/2).

8/5 – 5/2.

8/5 = 1.6.

5/2 = 2.5.

2.5 – 1.6 = 0.9.

so the weight of the load the company delivered to the second site = 0.9 tons.

**Math Expressions Grade 5 Unit 3 Lesson 8 Remembering**

**Multiply.**

Question 1.

Answer:

2,548 x 5 = 12,740.

Explanation:

In the above-given question,

given that,

the numbers are 2548 and 5.

multiply the numbers.

2548 x 5.

12,740.

Question 2.

Answer:

21 x 45 = 945.

Explanation:

In the above-given question,

given that,

the numbers are 21 and 45.

multiply the numbers.

21 x 45.

945.

Question 3.

Answer:

3015 x 6 = 18,090.

Explanation:

In the above-given question,

given that,

the numbers are 3015 and 6.

multiply the numbers.

3015 x 6.

18,090.

Question 4.

Answer:

33 x 4 = 132.

Explanation:

In the above-given question,

given that,

the numbers are 33 and 4.

multiply the numbers.

33 x 4.

132.

Question 5.

Answer:

65 x 87 = 5655.

Explanation:

In the above-given question,

given that,

the numbers are 65 and 87.

multiply the numbers.

65 x 87.

5655.

Question 6.

Answer:

215 x 9 = 1935.

Explanation:

In the above-given question,

given that,

the numbers are 215 and 9.

multiply the numbers.

215 x 9.

1935.

**Find each product by first rewriting each mixed number as a fraction.**

Question 7.

4\(\frac{4}{9}\) . 2\(\frac{2}{3}\) = ___

Answer:

4(4/9) . 2(2/3) = 11.44.

Explanation:

In the above-given question,

given that,

the fractions are 4(4/9) and 2(2/3).

4(4/9) = 40/9.

2(2/3) = 8/3.

40/9 = 4.4.

8/3 = 2.6.

4.4 x 2.6 = 11.44.

Question 8.

6\(\frac{1}{5}\) . 10 = ___

Answer:

6(1/5) . 10 = 62.

Explanation:

In the above-given question,

given that,

the fractions are 6(1/5) and 10.

6(1/5) = 31/5.

31/5 = 6.2.

6.2 x 10 = 62.

Question 9.

3\(\frac{5}{6}\) . \(\frac{12}{13}\) = ___

Answer:

6(1/5) . 10 = 62.

Explanation:

In the above-given question,

given that,

the fractions are 6(1/5) and 10.

6(1/5) = 31/5.

31/5 = 6.2.

6.2 x 10 = 62.

Question 10.

5\(\frac{1}{3}\) . \(\frac{3}{5}\) = ___

Answer:

5(1/3) . 3/5 = 3.18.

Explanation:

In the above-given question,

given that,

the fractions are 5(1/3) and 3/5.

5(1/3) = 16/3.

16/3 = 5.3.

3/5 = 0.6.

5.3 x 0.6 = 3.18.

**Solve.**

Question 11.

\(\frac{6}{7}\) – \(\frac{2}{7}\)

Answer:

6/7 – 2/7 = 0.65.

Explanation:

In the above-given question,

given that,

the fractions are 6/7 and 2/7.

subtract the fractions.

6/7 = 0.85.

2/7 = 0.2.

0.85 – 0.2 = 0.65.

Question 12.

\(\frac{4}{9}\) + \(\frac{2}{3}\)

Answer:

4/9 + 2/3 = 0.2.

Explanation:

In the above-given question,

given that,

the fractions are 4/9 and 2/3.

add the fractions.

4/9 = 0.4.

2/3 = 0.6.

0.4 – 0.6 = 0.2.

Question 13.

\(\frac{2}{3}\) . \(\frac{9}{10}\)

Answer:

2/3 . 9/10 = 0.3.

Explanation:

In the above-given question,

given that,

the fractions are 2/3 and 9/10.

multiply the fractions.

2/3 = 0.6.

9/10 = 0.9.

0.9 – 0.6 = 0.3.

Question 14.

\(\frac{3}{5}\) . \(\frac{5}{8}\)

Answer:

3/5 . 5/8 = 0.375.

Explanation:

In the above-given question,

given that,

the fractions are 3/5 and 5/8.

3/5 = 0.6.

5/8 = 0.625.

0.6 . 0.625 = 0.375.

Question 15.

8 – \(\frac{1}{7}\)

Answer:

8 – 1/7 = 7.86.

Explanation:

In the above-given question,

given that,

the fractions are 8 and 1/7.

subtract the fractions.

1/7 = 0.14.

8 – 0.14 = 7.86.

Question 16.

\(\frac{1}{6}\) + \(\frac{3}{8}\)

Answer:

1/6 + 3/8 = 0.535.

Explanation:

In the above-given question,

given that,

the fractions are 1/6 and 3/8.

1/6 = 0.16.

3/8 = 0.375.

0.16 + 0.375 = 0.535.

Question 17.**Stretch Your Thinking** Write and solve a word problem that requires multiplying two mixed numbers.

Answer:

3(2/7) . 4(2/7) = 13.44.

Explanation:

In the above-given question,

given that,

the fractions are 3(2/7) and 4(2/7).

multiply the fractions.

3(2/7) = 23/7.

30/7 = 4.2.

23/7 = 3.2.

4.2 . 3.2 = 13.44.