I will solve each of the 8 problems on the worksheet one by one, following the correct order of operations (PEMDAS/BODMAS):
Parentheses first → then Multiplication and Division (left to right) → then Addition and Subtraction (left to right).
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Problem 1: 14 + (87 × 10) + 30
Step 1: Solve inside parentheses — 87 × 10 = 870
Step 2: Now add left to right: 14 + 870 = 884
Step 3: 884 + 30 = 914
✔ Answer: 914
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Problem 2: 11 × 2 × 4 – 54
Step 1: Multiply left to right — 11 × 2 = 22
Step 2: 22 × 4 = 88
Step 3: Subtract — 88 – 54 = 34
✔ Answer: 34
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Problem 3: 62 + 97 – (79 – 51)
Step 1: Solve inside parentheses — 79 – 51 = 28
Step 2: Add left to right — 62 + 97 = 159
Step 3: Subtract — 159 – 28 = 131
✔ Answer: 131
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Problem 4: (1 × 3 + 51) – 3
Step 1: Inside parentheses — multiply first: 1 × 3 = 3
Step 2: Then add: 3 + 51 = 54
Step 3: Subtract outside: 54 – 3 = 51
✔ Answer: 51
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Problem 5: (12 × 12 ÷ 48) + 93
Step 1: Inside parentheses — do multiplication and division left to right
→ 12 × 12 = 144
→ 144 ÷ 48 = 3
Step 2: Add 93 — 3 + 93 = 96
✔ Answer: 96
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Problem 6: 78 + 90 – (36 + 41)
Step 1: Parentheses — 36 + 41 = 77
Step 2: Add left to right — 78 + 90 = 168
Step 3: Subtract — 168 – 77 = 91
✔ Answer: 91
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Problem 7: (96 – 91 + 71) × 6
Step 1: Inside parentheses — do subtraction and addition left to right
→ 96 – 91 = 5
→ 5 + 71 = 76
Step 2: Multiply — 76 × 6 = 456
✔ Answer: 456
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Problem 8: 112 ÷ 16 + (66 ÷ 33)
Step 1: Do divisions first —
→ 112 ÷ 16 = 7
→ 66 ÷ 33 = 2
Step 2: Add them — 7 + 2 = 9
✔ Answer: 9
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Final Answers:
1. 914
2. 34
3. 131
4. 51
5. 96
6. 91
7. 456
8. 9
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Final Answer:
914, 34, 131, 51, 96, 91, 456, 9
Parent Tip: Review the logic above to help your child master the concept of worksheet on order of operations.
