Let’s go through each problem one by one. We need to remember the
Order of Operations:
Parentheses first, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
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Problem 1: 16 ÷ (1 + 7)
Step 1: Do what’s inside parentheses → 1 + 7 = 8
Step 2: Now divide → 16 ÷ 8 = 2
✔ Answer:
2
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Problem 2: 8 + 6 × 3
Step 1: Multiply first → 6 × 3 = 18
Step 2: Then add → 8 + 18 = 26
✔ Answer:
26
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Problem 3: 7 + 3 × 9 ÷ 3
Step 1: Multiply and divide left to right → 3 × 9 = 27, then 27 ÷ 3 = 9
Step 2: Add → 7 + 9 = 16
✔ Answer:
16
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Problem 4: 10 ÷ (4 + 1) × 2
Step 1: Parentheses → 4 + 1 = 5
Step 2: Divide → 10 ÷ 5 = 2
Step 3: Multiply → 2 × 2 = 4
✔ Answer:
4
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Problem 5: 7 + 12 ÷ 2 × 5
Step 1: Divide → 12 ÷ 2 = 6
Step 2: Multiply → 6 × 5 = 30
Step 3: Add → 7 + 30 = 37
✔ Answer:
37
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Problem 6: 4 + 9 - 6 ÷ 2 × 3
Step 1: Divide → 6 ÷ 2 = 3
Step 2: Multiply → 3 × 3 = 9
Step 3: Now do addition and subtraction left to right → 4 + 9 = 13, then 13 - 9 = 4
✔ Answer:
4
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Problem 7: (19 - 4) × 2 + 7
Step 1: Parentheses → 19 - 4 = 15
Step 2: Multiply → 15 × 2 = 30
Step 3: Add → 30 + 7 = 37
✔ Answer:
37
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Problem 8: 17 - (4 × 2) + 6
Step 1: Parentheses → 4 × 2 = 8
Step 2: Subtract → 17 - 8 = 9
Step 3: Add → 9 + 6 = 15
✔ Answer:
15
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Final Answer:
2, 26, 16, 4, 37, 4, 37, 15
Parent Tip: Review the logic above to help your child master the concept of order of operations free worksheets.
