All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 5 Lesson 2 Expressions with Parentheses** are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 5 Lesson 2 Expressions with Parentheses

**Solve.**

**Simplify and solve. Show your work.**

Question 1.

(20 + 7) – 3

__27 – 3 = 24__

Answer:

(20 + 7) – 3 = 24.

Explanation:

Given that the expression is (20 + 7) – 3 which is

= (27) – 3

= 24.

Question 2.

8 + (5 × 8) × 6

Answer:

8 + (5 × 8) × 6 = 248.

Explanation:

Given that the expression is 8 + (5 × 8) × 6 which is

= 8 + (40) × 6

= 8 + 240

= 248.

Question 3.

(5 × 2) ÷ 2^{2}

Answer:

(5 × 2) ÷ 2^{2} = 2.5.

Explanation:

Given that the expression is (5 × 2) ÷ 2^{2} = which is

= 10 ÷ 4

= 2.5.

Question 4.

(43 – 8) – (22 – 18)^{2}

Answer:

(43 – 8) – (22 – 18)^{2} = 19.

Explanation:

Given that the expression is (43 – 8) – (22 – 18)^{2} which is

= (35) – (4)^{2}

= 35 – 16

= 19.

Question 5.

3^{2} × (2 × 5) + 7 – (2 × 3)

Answer:

3^{2} × (2 × 5) + 7 – (2 × 3) = 91.

Explanation:

Given that the expression is 3^{2} × (2 × 5) + 7 – (2 × 3) which is

= 3^{2} × (10) + 7 – (6)

= 9 × (10) + 7 – 6

= 90 + 7 – 6

= 97 – 6

= 91.

Question 6.

4 + 2^{2} × (5 × 2) ÷ 4

Answer:

4 + 2^{2} × (5 × 2) ÷ 4 = 14.

Explanation:

Given that the expression is 4 + 2^{2} × (5 × 2) ÷ 4 which is

= 4 + 2^{2} × (10) ÷ 4

= 4 + 4× 10 ÷ 4

= 4 + 40 ÷ 4

= 4 + 10

= 14.

Question 7.

(40 ÷ 5) + (22 – 12)^{2}

Answer:

(40 ÷ 5) + (22 – 12)^{2} = 108.

Explanation:

Given that the expression is (40 ÷ 5) + (22 – 12)^{2} which is

= (40 ÷ 5) + (22 – 12)^{2}

= (8) + (10)^{2}

= 8 + 100

= 108.

Question 8.

Use parentheses to show the operations used: 6 × 4 + 12 – 8 + 2^{2} = 32

Answer:

(6 × 4) + (12 – 8) + 2^{2} = 32.