Order of Operations Worksheets - Math Monks - Free Printable

Let's solve each problem step by step using the order of operations, following PEMDAS:

- P: Parentheses
- E: Exponents
- M/D: Multiplication and Division (from left to right)
- A/S: Addition and Subtraction (from left to right)

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1) 18 - 6 + 4 × 4 × 3

- First, do multiplication:
$ 4 × 4 = 16 $, then $ 16 × 3 = 48 $
- Now: $ 18 - 6 + 48 $
- Left to right:
$ 18 - 6 = 12 $, then $ 12 + 48 = 60 $

✔ Answer: 60

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2) (16 + 8) - 3 × 5 + 18

- Parentheses: $ 16 + 8 = 24 $
- Then multiplication: $ 3 × 5 = 15 $
- Now: $ 24 - 15 + 18 $
- Left to right:
$ 24 - 15 = 9 $, then $ 9 + 18 = 27 $

✔ Answer: 27

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3) (9 × 6) - (12 - 7) - 13

- Parentheses:
- $ 9 × 6 = 54 $
- $ 12 - 7 = 5 $
- Now: $ 54 - 5 - 13 $
- Left to right:
$ 54 - 5 = 49 $, then $ 49 - 13 = 36 $

✔ Answer: 36

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4) 2 × (34 - 29) + 32 - 11

- Parentheses: $ 34 - 29 = 5 $
- Multiplication: $ 2 × 5 = 10 $
- Now: $ 10 + 32 - 11 $
- Left to right:
$ 10 + 32 = 42 $, then $ 42 - 11 = 31 $

✔ Answer: 31

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5) 8 × 4 - (3 + 16) + 3

- Parentheses: $ 3 + 16 = 19 $
- Multiplication: $ 8 × 4 = 32 $
- Now: $ 32 - 19 + 3 $
- Left to right:
$ 32 - 19 = 13 $, then $ 13 + 3 = 16 $

✔ Answer: 16

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6) 38 + 37 - 8 × (2 + 5)

- Parentheses: $ 2 + 5 = 7 $
- Multiplication: $ 8 × 7 = 56 $
- Now: $ 38 + 37 - 56 $
- Left to right:
$ 38 + 37 = 75 $, then $ 75 - 56 = 19 $

✔ Answer: 19

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7) 7 × (10 - 6) + 19 - 36

- Parentheses: $ 10 - 6 = 4 $
- Multiplication: $ 7 × 4 = 28 $
- Now: $ 28 + 19 - 36 $
- Left to right:
$ 28 + 19 = 47 $, then $ 47 - 36 = 11 $

✔ Answer: 11

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8) (16 + 8) - 3 × 5 + 18

This is the same as Problem 2.

- $ 16 + 8 = 24 $
- $ 3 × 5 = 15 $
- $ 24 - 15 + 18 = 9 + 18 = 27 $

✔ Answer: 27

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9) 6 × 3 + 4 × (9 ÷ 3)

- Parentheses: $ 9 ÷ 3 = 3 $
- Multiplications:
- $ 6 × 3 = 18 $
- $ 4 × 3 = 12 $
- Now: $ 18 + 12 = 30 $

✔ Answer: 30

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10) 2³ - 8 ÷ 4 × 2 + 7

- Exponent: $ 2³ = 8 $
- Division: $ 8 ÷ 4 = 2 $
- Multiplication: $ 2 × 2 = 4 $
- Now: $ 8 - 4 + 7 $
- Left to right:
$ 8 - 4 = 4 $, then $ 4 + 7 = 11 $

✔ Answer: 11

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✔ Final Answers:

1) 60
2) 27
3) 36
4) 31
5) 16
6) 19
7) 11
8) 27
9) 30
10) 11

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