# McGraw Hill Math Grade 6 Lesson 16.1 Answer Key Order of Operations

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 16.1 Order of Operations will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 16.1 Order of Operations

Exercises
SOLVE
Question 1.
5 – (4 – 3) + 5 × 4
5 – (4 – 3) + 5 × 4 = 24.

Explanation:
5 – (4 – 3) + 5 × 4
= 5 – (4 – 3) + 20
= 25 – (4 – 3)
= 25 – 1
= 24.

Question 2.
(3 × 2)2 × 2 – 2 + 4
(3 × 2)2 × 2 – 2 + 4 = 74.

Explanation:
(3 × 2)2 × 2 – 2 + 4
= 36 × 2 – 2 + 4
= 72 – 2 + 4
= 76 – 2
= 74.

Question 3.
(3 + 2)2 × 4 – 3 + $$\frac{4}{2}$$
(3 + 2)2 × 4 – 3 + $$\frac{4}{2}$$ = 99.

Explanation:
(3 + 2)2 × 4 – 3 + $$\frac{4}{2}$$
= (5 × 5) × 4 – 3 + $$\frac{4}{2}$$
= 25 × 4 – 3 + $$\frac{4}{2}$$
= 100 – 3 + $$\frac{4}{2}$$
= 100 – 3 + 2
= 102 – 3
= 99.

Question 4.
5 – 7 + 4 × 2 – 3
5 – 7 + 4 × 2 – 3 = 3.

Explanation:
5 – 7 + 4 × 2 – 3
= 5 – 7 + 8 – 3
= 13 – 7 – 3
= 6 – 3
= 3.

Question 5.
55 – 2 × $$\frac{3}{2}$$ – 102
55 – 2 × $$\frac{3}{2}$$ – 102 = 152.

Explanation:
55 – 2 × $$\frac{3}{2}$$ – 102
= 55 – 2 × 1.5 – 100
= 55 – 3 – 100
= 155 – 3
= 152.

Question 6.
(2 + 3 + 4)3-1
(2 + 3 + 4)3-1 = 81.

Explanation:
(2 + 3 + 4)3-1
= (5+ 4)3-1
= (9)2
= 9 × 9
= 81.

Question 7.
(2 – 2)2 + (4 – 2)2
(2 – 2)2 + (4 – 2)= 4.

Explanation:
(2 – 2)2 + (4 – 2)2
= (0)2 + (4 – 2)2
= 0 + (2)2
= 2 × 2
= 4.

Question 8.
(3 – 4) + 32 × 3 + 2
(3 – 4) + 32 × 3 + 2 = 28.

Explanation:
(3 – 4) + 32 × 3 + 2
= (3 – 4) + 9 × 3 + 2
= (3 – 4) + 27 + 2
= (3 – 4) + 29
= -1 + 29
= 28.

Question 9.
4 × (11 – 7) – (44 + 28)