Let’s solve each problem step by step, following the
Order of Operations (PEMDAS):
>
Parentheses
>
Exponents
>
Multiplication and
Division (left to right)
>
Addition and
Subtraction (left to right)
---
1. 9 × 8 + 7 × 6 + 3² = ?
- First, exponents: 3² = 9
- Then multiplication:
9 × 8 = 72
7 × 6 = 42
- Now add: 72 + 42 + 9 = 123
✔ Answer:
123
---
2. 5 × 2(6 + 6) + 4 × 8 = ?
- Parentheses first: (6 + 6) = 12
- Now: 5 × 2 × 12 → left to right:
5 × 2 = 10 → 10 × 12 = 120
- Then: 4 × 8 = 32
- Add: 120 + 32 = 152
✔ Answer:
152
---
3. 9² × 2 + 2 × 9 = ?
- Exponent: 9² = 81
- Multiplication:
81 × 2 = 162
2 × 9 = 18
- Add: 162 + 18 = 180
✔ Answer:
180
---
4. 8 × 8 + 7 × 7 + 4² = ?
- Exponent: 4² = 16
- Multiplication:
8 × 8 = 64
7 × 7 = 49
- Add: 64 + 49 + 16 = 129
✔ Answer:
129
---
5. 81 ÷ 9 × 7 ÷ 7 = ?
- Left to right for division and multiplication:
81 ÷ 9 = 9
9 × 7 = 63
63 ÷ 7 = 9
✔ Answer:
9
---
6. 5² × 5 × 2 = ?
- Exponent: 5² = 25
- Multiply left to right:
25 × 5 = 125
125 × 2 = 250
✔ Answer:
250
---
7. 54 ÷ 9 + 8 × 5 = ?
- Division and multiplication first:
54 ÷ 9 = 6
8 × 5 = 40
- Add: 6 + 40 = 46
✔ Answer:
46
---
8. 5(5 × 4) + 3(4 × 2) = ?
- Parentheses first:
5 × 4 = 20 → 5 × 20 = 100
4 × 2 = 8 → 3 × 8 = 24
- Add: 100 + 24 = 124
✔ Answer:
124
---
9. 18(5 - 3) × 2 + 7² = ?
- Parentheses: (5 - 3) = 2
- Exponent: 7² = 49
- Now: 18 × 2 × 2 → left to right:
18 × 2 = 36 → 36 × 2 = 72
- Add: 72 + 49 = 121
✔ Answer:
121
---
10. 5 × 5 + 6 × 6 = ?
- Multiplication first:
5 × 5 = 25
6 × 6 = 36
- Add: 25 + 36 = 61
✔ Answer:
61
---
Final Answer:
1. 123
2. 152
3. 180
4. 129
5. 9
6. 250
7. 46
8. 124
9. 121
10. 61
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet pdf.
