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

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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 + 2³
14 – 9 + 2 x 2 x 2
14 – 9 + 8
22 – 9 = 13
Question 2.
(6 – 5) × (6 – 4) – 2³ + 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) – 2³ + 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 – 3³
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 – (2³ – 5) + (2² + 2) – 2³
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 – (2³ – 5) + (2² + 2) – 2³
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