Order of Operations practice problems for math learners.

Let’s solve each problem one by one, following the Order of Operations (PEMDAS):

> Parentheses
> Exponents
> Multiplication and Division (left to right)
> Addition and Subtraction (left to right)

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Problem 1:

5 × (6 + 4) - 4² =

Step 1: Parentheses → (6 + 4) = 10
→ 5 × 10 - 4²

Step 2: Exponents → 4² = 16
→ 5 × 10 - 16

Step 3: Multiplication → 5 × 10 = 50
→ 50 - 16

Step 4: Subtraction → 50 - 16 = 34

✔ Answer: 34

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Problem 2:

(7 - 2)² + (16 ÷ 8) =

Step 1: Parentheses → (7 - 2) = 5; (16 ÷ 8) = 2
→ 5² + 2

Step 2: Exponents → 5² = 25
→ 25 + 2

Step 3: Addition → 25 + 2 = 27

✔ Answer: 27

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Problem 3:

(12 - 9)² + (8 ÷ 4) =

Step 1: Parentheses → (12 - 9) = 3; (8 ÷ 4) = 2
→ 3² + 2

Step 2: Exponents → 3² = 9
→ 9 + 2

Step 3: Addition → 9 + 2 = 11

✔ Answer: 11

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Problem 4:

(20 - 4²) ÷ (10 - 6) =

Step 1: Inside parentheses — do exponent first in left group:
4² = 16 → (20 - 16) = 4
Right group: (10 - 6) = 4
→ 4 ÷ 4

Step 2: Division → 4 ÷ 4 = 1

✔ Answer: 1

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Problem 5:

(64 - 2²) ÷ (17 + 3) =

Step 1: Left parentheses — exponent first: 2² = 4 → 64 - 4 = 60
Right parentheses: 17 + 3 = 20
→ 60 ÷ 20

Step 2: Division → 60 ÷ 20 = 3

✔ Answer: 3

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Problem 6:

(32 - 2) ÷ 5 - 2² =

Step 1: Parentheses → (32 - 2) = 30
→ 30 ÷ 5 - 2²

Step 2: Exponents → 2² = 4
→ 30 ÷ 5 - 4

Step 3: Division → 30 ÷ 5 = 6
→ 6 - 4

Step 4: Subtraction → 6 - 4 = 2

✔ Answer: 2

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Final Answer:
34, 27, 11, 1, 3, 2