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

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.

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