All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 5 Lesson 3 Expressions with Parentheses, Brackets, and Braces** are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 5 Lesson 3 Expressions with Parentheses, Brackets, and Braces

**Simplify each expression.**

Question 1.

{[3(15 + 5) + 27] × 4}

Simplify inside the parentheses: __{[3(20) + 27] × 4}
Simplify inside the brackets: ____________
Simplify inside the braces: ______________
{[3(15 + 5) + 27] × 4} = ________
Answer:
__{[3(15 + 5) + 27] × 4} = 348.

Explanation:

Given the expression is {[3(15 + 5) + 27] × 4} which is

= {[3(20) + 27] × 4}

= {[60 + 27] × 4}

= 87 × 4

= 348.

Question 2.

3{[2(3 + 6) + 9] – 24}

Simplify inside the parentheses: __________

Simplify inside the brackets: _____________

Simplify inside the braces: _____________

3{[2(3 + 6) + 9] – 24} = _______

Answer:

3{[2(3 + 6) + 9] – 24} = 9.

Explanation:

Given the expression is 3{[2(3 + 6) + 9] – 24}

= 3{[2(9) + 9] – 24}

= 3{[18 + 9] – 24}

= 3{[27] – 24}

= 3{3}

= 9.

Question 3.

[(10 × 2 + 8) ÷ 14]^{2}

Simplify inside the parentheses: ________________

Simplify inside the brackets: _______________

[(10 × 2 + 8) ÷ 14]^{2} = _________

Answer:

[(10 × 2 + 8) ÷ 14]^{2} = 4.

Explanation:

Given the expression is [(10 × 2 + 8) ÷ 14]^{2} which is

= [(20 + 8) ÷ 14]^{2}

= [(28) ÷ 14]^{2}

= [2]^{2}

= 4.