Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 11.1 Order of Operations **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 11.1 Order of Operations

**Exercise**

**CALCULATE**

Question 1.

(5 + 2) × (5 – 3) – (3 × 3) + 2^{(5-2)}

Answer:

13

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(5 + 2) × (5 – 3) – (3 × 3) + 2^{(5-2)
}7 x 2 – 9 + 2^{3}

14 – 9 + 2 x 2 x 2

14 – 9 + 8

22 – 9 = 13

Question 2.

(6 – 5) × (6 – 4) – 2^{3} + 6

Answer:

0

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(6 – 5) × (6 – 4) – 2^{3} + 6

1 x 2 – 2 x 2 x 2 + 6

2 – 8 + 6

8 – 8 = 0

Question 3.

(7 – 4)^{3} + (7 – 2)^{2} + 5 – 2 + 3^{(5-3)}

Answer:

64

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(7 – 4)^{3} + (7 – 2)^{2} + 5 – 2 + 3^{(5-3)
}(3)^{3} + (5)^{2} + 5 – 2 + 3^{(2)}

3 x 3 x 3 + 5 x 5 + 5 – 2 + 3 x 3

27 + 25 + 5 – 2 + 9

66 – 2 = 64

Question 4.

(8 + 2) × (8 – 5) + 42 – (7 – 4)^{3}

Answer:

45

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(8 + 2) × (8 – 5) + 42 – (7 – 4)^{3}

10 × 3 + 42 – 3^{3}

30 + 42 – 3 x 3 x3

72 – 27 = 45

Question 5.

(8 – 6)^{3} – (7 – 5)^{3} + 9 – (5 – 2)

Answer:

6

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(8 – 6)^{3} – (7 – 5)^{3} + 9 – (5 – 2)

(2)^{3} – (2)^{3} + 9 – 3

2 x 2 – 2 x 2 + 9 – 3

4 – 4 + 9 – 3

4 + 9 – 4 – 3

13 – 4 – 3

9 – 3 = 6

Question 6.

(4)^{2} – (2^{3} – 5) + (2^{2} + 2) – 2^{3}

Answer:

11

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(4)^{2} – (2^{3} – 5) + (2^{2} + 2) – 2^{3}

4 x 4 – (8 – 5) + (2 x 2+ 2) – 2 x 2 x 2

16 – 3 + 6 – 8 = 11

Question 7.

(7 – 2) + (8 – 5) – (4 – 1) – 2

Answer:

3

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(7 – 2) + (8 – 5) – (4 – 1) – 2

5 + 3 – 3 – 2

8 – 3 – 2

5 – 2 = 3

Question 8.

(4 + 3) × (5 – 2) × (2 – 1)^{2}

Answer:

21

Explanation:

Use the order of PEMDAS,

P is for parentheses; E is for exponents; M is for multiplication; D is for division; A is for addition and S is for subtraction.

(4 + 3) × (5 – 2) × (2 – 1)^{2}

7 x 3 x 1 = 21