I will solve each equation step by step using the correct order of operations (BIMDAS: Brackets, Indices, Multiplication, Division, Addition, Subtraction).
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1. (50 + 10) × 7
Step 1: Solve inside brackets → 50 + 10 = 60
Step 2: Multiply → 60 × 7 = 420
✔ Answer:
420
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2. 30 + 5² × 2
Step 1: Indices first → 5² = 25
Step 2: Multiplication → 25 × 2 = 50
Step 3: Addition → 30 + 50 = 80
✔ Answer:
80
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3. 5 × 12 + 8 × 5
Step 1: Multiplication from left to right
→ 5 × 12 = 60
→ 8 × 5 = 40
Step 2: Addition → 60 + 40 = 100
✔ Answer:
100
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4. 60 + 60 × 3
Step 1: Multiplication first → 60 × 3 = 180
Step 2: Addition → 60 + 180 = 240
✔ Answer:
240
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5. (15 + 15) × 3
Step 1: Brackets → 15 + 15 = 30
Step 2: Multiply → 30 × 3 = 90
✔ Answer:
90
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6. 9 × 5 + 5 × 9
Step 1: Multiplication
→ 9 × 5 = 45
→ 5 × 9 = 45
Step 2: Addition → 45 + 45 = 90
✔ Answer:
90
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7. 2² × 3² + 5 × 4
Step 1: Indices
→ 2² = 4
→ 3² = 9
Step 2: Multiplication
→ 4 × 9 = 36
→ 5 × 4 = 20
Step 3: Addition → 36 + 20 = 56
✔ Answer:
56
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8. 6 × 6 - 5 × 5
Step 1: Multiplication
→ 6 × 6 = 36
→ 5 × 5 = 25
Step 2: Subtraction → 36 - 25 = 11
✔ Answer:
11
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9. 108 - 12 × 9
Step 1: Multiplication → 12 × 9 = 108
Step 2: Subtraction → 108 - 108 = 0
✔ Answer:
0
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10. 50 + 10² × 2
Step 1: Indices → 10² = 100
Step 2: Multiplication → 100 × 2 = 200
Step 3: Addition → 50 + 200 = 250
✔ Answer:
250
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Final Answer:
1. 420
2. 80
3. 100
4. 240
5. 90
6. 90
7. 56
8. 11
9. 0
10. 250
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheets with answers.