I'll solve each problem using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Let me work through each one carefully:
Row 1:
1. 21 + 3 + (3 × 9) × 4
- First: (3 × 9) = 27
- Then: 27 × 4 = 108
- Finally: 21 + 3 + 108 = 132
2. (10 + 4) × 90 + 9 - 4²
- First: (10 + 4) = 14
- Exponent: 4² = 16
- Then: 14 × 90 = 1260
- Finally: 1260 + 9 - 16 = 1253
Row 2:
3. (15 + 20) - 36 ÷ 9
- First: (15 + 20) = 35
- Division: 36 ÷ 9 = 4
- Finally: 35 - 4 = 31
4. 4 × 5 + (14 + 8)
- First: (14 + 8) = 22
- Then: 4 × 5 = 20
- Finally: 20 + 22 = 42
Row 3:
5. (28 + 4) + 3 × 5
- First: (28 + 4) = 32
- Then: 3 × 5 = 15
- Finally: 32 + 15 = 47
6. (24 + 8) × 14 - 8 + 3²
- First: (24 + 8) = 32
- Exponent: 3² = 9
- Then: 32 × 14 = 448
- Finally: 448 - 8 + 9 = 449
Row 4:
7. 8² × 3 + 70 + 7 - 7
- Exponent: 8² = 64
- Then: 64 × 3 = 192
- Finally: 192 + 70 + 7 - 7 = 262
8. 5² × 2 + 18 + 9
- Exponent: 5² = 25
- Then: 25 × 2 = 50
- Finally: 50 + 18 + 9 = 77
Row 5:
9. (17 - 7) × 7 + 2 + 120
- First: (17 - 7) = 10
- Then: 10 × 7 = 70
- Finally: 70 + 2 + 120 = 192
10. (12 + 3) + 3 × 4
- First: (12 + 3) = 15
- Then: 3 × 4 = 12
- Finally: 15 + 12 = 27
Row 6:
11. (12 - 5) + 6 × 2 + 4
- First: (12 - 5) = 7
- Then: 6 × 2 = 12
- Finally: 7 + 12 + 4 = 23
12. 6 + 3 + 24 - 25 + 5
- Left to right: 6 + 3 = 9
- Then: 9 + 24 = 33
- Then: 33 - 25 = 8
- Finally: 8 + 5 = 13
Final Answer:
1. 132
2. 1253
3. 31
4. 42
5. 47
6. 449
7. 262
8. 77
9. 192
10. 27
11. 23
12. 13
Parent Tip: Review the logic above to help your child master the concept of printable pemdas worksheet.