Let’s solve each problem one by one using PEMDAS:
Parentheses,
Exponents,
Multiplication and
Division (left to right),
Addition and
Subtraction (left to right).
---
1. 5 × 10 + 1¹ – 2
- Exponent first: 1¹ = 1
- Then multiplication: 5 × 10 = 50
- Now: 50 + 1 – 2
- Left to right: 50 + 1 = 51; 51 – 2 =
49
✔ Answer:
49
---
2. 8 × 2 – 3² + 12
- Exponent: 3² = 9
- Multiplication: 8 × 2 = 16
- Now: 16 – 9 + 12
- Left to right: 16 – 9 = 7; 7 + 12 =
19
✔ Answer:
19
---
3. 7 + 4 × 5² – 7
- Exponent: 5² = 25
- Multiplication: 4 × 25 = 100
- Now: 7 + 100 – 7
- Left to right: 7 + 100 = 107; 107 – 7 =
100
✔ Answer:
100
---
4. 6³ – 12 + 12 ÷ 3
- Exponent: 6³ = 6 × 6 × 6 = 216
- Division: 12 ÷ 3 = 4
- Now: 216 – 12 + 4
- Left to right: 216 – 12 = 204; 204 + 4 =
208
✔ Answer:
208
---
5. 3³ – 10 + 2 × 12
- Exponent: 3³ = 27
- Multiplication: 2 × 12 = 24
- Now: 27 – 10 + 24
- Left to right: 27 – 10 = 17; 17 + 24 =
41
✔ Answer:
41
---
6. 2 × 5² – 10 ÷ 5
- Exponent: 5² = 25
- Multiplication: 2 × 25 = 50
- Division: 10 ÷ 5 = 2
- Now: 50 – 2 =
48
✔ Answer:
48
---
7. 12 + 9 × 4² ÷ 2
- Exponent: 4² = 16
- Multiplication & division left to right:
- 9 × 16 = 144
- 144 ÷ 2 = 72
- Now: 12 + 72 =
84
✔ Answer:
84
---
8. 10² ÷ 5 – 3 × 5
- Exponent: 10² = 100
- Division: 100 ÷ 5 = 20
- Multiplication: 3 × 5 = 15
- Now: 20 – 15 =
5
✔ Answer:
5
---
9. 6 × 2³ + 12 ÷ 2
- Exponent: 2³ = 8
- Multiplication: 6 × 8 = 48
- Division: 12 ÷ 2 = 6
- Now: 48 + 6 =
54
✔ Answer:
54
---
10. 2 × 9³ + 2 – 2
- Exponent: 9³ = 729
- Multiplication: 2 × 729 = 1458
- Now: 1458 + 2 – 2
- Left to right: 1458 + 2 = 1460; 1460 – 2 =
1458
✔ Answer:
1458
---
11. 10³ – 5 – 6 × 10
- Exponent: 10³ = 1000
- Multiplication: 6 × 10 = 60
- Now: 1000 – 5 – 60
- Left to right: 1000 – 5 = 995; 995 – 60 =
935
✔ Answer:
935
---
12. 4 × 6 + 2² – 10
- Exponent: 2² = 4
- Multiplication: 4 × 6 = 24
- Now: 24 + 4 – 10
- Left to right: 24 + 4 = 28; 28 – 10 =
18
✔ Answer:
18
---
Final Answer:
49, 19, 100, 208, 41, 48, 84, 5, 54, 1458, 935, 18
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheet pdf.
