Worksheet teaching the order of operations (PEMDAS) with examples and practice problems.

Let’s solve each problem step by step using PEMDAS:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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Problem 1: (4 + 3) × 10 ÷ 2 + (5 × 6)

Step 1: Parentheses
(4 + 3) = 7
(5 × 6) = 30
→ Now: 7 × 10 ÷ 2 + 30

Step 2: Multiplication and Division left to right
7 × 10 = 70
70 ÷ 2 = 35
→ Now: 35 + 30

Step 3: Addition
35 + 30 = 65

✔ Answer: 65

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Problem 2: 3² + (2 + 12 × 2) - 16 ÷ 4

Step 1: Exponents
3² = 9

Step 2: Inside parentheses — do multiplication first
12 × 2 = 24
Then: 2 + 24 = 26

Step 3: Division
16 ÷ 4 = 4

Now expression is: 9 + 26 - 4

Step 4: Left to right addition/subtraction
9 + 26 = 35
35 - 4 = 31

✔ Answer: 31

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Problem 3: 4(15 ÷ 3) + (6 × 3) - 2²

Step 1: Parentheses
15 ÷ 3 = 5 → so 4 × 5 = 20
6 × 3 = 18

Step 2: Exponent
2² = 4

Now: 20 + 18 - 4

Step 3: Left to right
20 + 18 = 38
38 - 4 = 34

✔ Answer: 34

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Problem 4: 9² × 2 - 20

Step 1: Exponent
9² = 81

Step 2: Multiplication
81 × 2 = 162

Step 3: Subtraction
162 - 20 = 142

✔ Answer: 142

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Problem 5: 1 - 13 × 2 + 25 - 3 + 15 - 3

No parentheses or exponents. Do multiplication first.

Step 1: 13 × 2 = 26
Now: 1 - 26 + 25 - 3 + 15 - 3

Step 2: Left to right addition/subtraction
1 - 26 = -25
-25 + 25 = 0
0 - 3 = -3
-3 + 15 = 12
12 - 3 = 9

✔ Answer: 9

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Problem 6: (10 - 7) + (2 × 14 ÷ 4)

Step 1: Parentheses
10 - 7 = 3
Inside second: 2 × 14 = 28; then 28 ÷ 4 = 7

Now: 3 + 7 = 10

✔ Answer: 10

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Problem 7: 64 - 8 + 12 × 2 + 9

Step 1: Multiplication
12 × 2 = 24

Now: 64 - 8 + 24 + 9

Step 2: Left to right
64 - 8 = 56
56 + 24 = 80
80 + 9 = 89

✔ Answer: 89

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Problem 8: 12² - 23 + (9 × 3)

Step 1: Exponent
12² = 144

Step 2: Parentheses
9 × 3 = 27

Now: 144 - 23 + 27

Step 3: Left to right
144 - 23 = 121
121 + 27 = 148

✔ Answer: 148

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Problem 9: 4³ - 3³

Step 1: Exponents
4³ = 4 × 4 × 4 = 64
3³ = 3 × 3 × 3 = 27

Step 2: Subtract
64 - 27 = 37

✔ Answer: 37

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Problem 10: 9 + 5 - 10 × 6 - 8

Step 1: Multiplication
10 × 6 = 60

Now: 9 + 5 - 60 - 8

Step 2: Left to right
9 + 5 = 14
14 - 60 = -46
-46 - 8 = -54

✔ Answer: -54

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Final Answer:
1. 65
2. 31
3. 34
4. 142
5. 9
6. 10
7. 89
8. 148
9. 37
10. -54