Let’s solve each problem step by step using PEMDAS (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right).
---
1. (14² × 15) − (2² + 20)
→ 14² = 196 → 196 × 15 = 2940
→ 2² = 4 → 4 + 20 = 24
→ 2940 − 24 =
2916
2. 8² × 2 − 14 − 12
→ 8² = 64 → 64 × 2 = 128
→ 128 − 14 = 114 → 114 − 12 =
102
3. (6² + 18 − 8) ÷ 2
→ 6² = 36 → 36 + 18 = 54 → 54 − 8 = 46
→ 46 ÷ 2 =
23
4. (14 + 2 × 2)² − 16²
→ 2 × 2 = 4 → 14 + 4 = 18 → 18² = 324
→ 16² = 256
→ 324 − 256 =
68
5. (19 + 7² × 8) − 5
→ 7² = 49 → 49 × 8 = 392 → 19 + 392 = 411
→ 411 − 5 =
406
6. (12² − 15 + 17) × 16
→ 12² = 144 → 144 − 15 = 129 → 129 + 17 = 146
→ 146 × 16 =
2336
7. 11 × (5² + 3) − 5
→ 5² = 25 → 25 + 3 = 28 → 11 × 28 = 308
→ 308 − 5 =
303
8. (16² ÷ 8) × 3 − 7
→ 16² = 256 → 256 ÷ 8 = 32 → 32 × 3 = 96
→ 96 − 7 =
89
9. (6³ − 12) ÷ (20 − 8)
→ 6³ = 216 → 216 − 12 = 204
→ 20 − 8 = 12
→ 204 ÷ 12 =
17
10. 15² × (18 + 9) − 19
→ 15² = 225 → 18 + 9 = 27 → 225 × 27 = 6075
→ 6075 − 19 =
6056
11. 4² + (8 − 2)² ÷ 4
→ 4² = 16 → 8 − 2 = 6 → 6² = 36 → 36 ÷ 4 = 9
→ 16 + 9 =
25
12. 10 + (16² − 14) × 19
→ 16² = 256 → 256 − 14 = 242 → 242 × 19 = 4598
→ 10 + 4598 =
4608
---
Final Answer:
2916, 102, 23, 68, 406, 2336, 303, 89, 17, 6056, 25, 4608
Parent Tip: Review the logic above to help your child master the concept of math worksheet order of operations.
