Sure! Let’s solve each of the 9 problems using the
Order of Operations — commonly remembered by the acronym
PEMDAS:
>
Parentheses
>
Exponents
>
Multiplication and
Division (left to right)
>
Addition and
Subtraction (left to right)
---
Problem 1: 5 + 18 ÷ 3²
1.
Exponents: 3² = 9
→ 5 + 18 ÷ 9
2.
Division: 18 ÷ 9 = 2
→ 5 + 2
3.
Addition: 5 + 2 =
7
✔ Answer: 7
---
Problem 2: 6 × 2² ÷ 3 + 1
1.
Exponents: 2² = 4
→ 6 × 4 ÷ 3 + 1
2.
Multiplication & Division (left to right):
- 6 × 4 = 24
- 24 ÷ 3 = 8
→ 8 + 1
3.
Addition: 8 + 1 =
9
✔ Answer: 9
---
Problem 3: 28 + ½ × 2
1.
Multiplication: ½ × 2 = 1
→ 28 + 1
2.
Addition: 28 + 1 =
29
✔ Answer: 29
---
Problem 4: 5(20 ÷ 4)²
1.
Parentheses: 20 ÷ 4 = 5
→ 5 × (5)²
2.
Exponents: 5² = 25
→ 5 × 25
3.
Multiplication: 5 × 25 =
125
✔ Answer: 125
---
Problem 5: 8² + (12 + 8)/2
1.
Exponents: 8² = 64
2.
Parentheses: 12 + 8 = 20
→ 64 + 20/2
3.
Division: 20 ÷ 2 = 10
→ 64 + 10
4.
Addition: 64 + 10 =
74
✔ Answer: 74
---
Problem 6: 77 – (6 ÷ 3)²
1.
Parentheses: 6 ÷ 3 = 2
→ 77 – (2)²
2.
Exponents: 2² = 4
→ 77 – 4
3.
Subtraction: 77 – 4 =
73
✔ Answer: 73
---
Problem 7: 12 + 9² ÷ 3
1.
Exponents: 9² = 81
→ 12 + 81 ÷ 3
2.
Division: 81 ÷ 3 = 27
→ 12 + 27
3.
Addition: 12 + 27 =
39
✔ Answer: 39
---
Problem 8: 15 – 7 × 2 + 3³
1.
Exponents: 3³ = 27
→ 15 – 7 × 2 + 27
2.
Multiplication: 7 × 2 = 14
→ 15 – 14 + 27
3.
Left to right: Subtraction then Addition
- 15 – 14 = 1
- 1 + 27 =
28
✔ Answer: 28
---
Problem 9: (8 + 56) ÷ 4 – 3
1.
Parentheses: 8 + 56 = 64
→ 64 ÷ 4 – 3
2.
Division: 64 ÷ 4 = 16
→ 16 – 3
3.
Subtraction: 16 – 3 =
13
✔ Answer: 13
---
##
✔ Final Answers:
1.
7
2.
9
3.
29
4.
125
5.
74
6.
73
7.
39
8.
28
9.
13
Let me know if you’d like a printable version or step-by-step worksheet format! 🍀
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet with exponents.
