Let's solve each of the equations step by step using the
order of operations, following the
BIMDAS rule:
>
B - Brackets
>
I - Indices (powers/exponents)
>
M - Multiplication
>
D - Division
>
A - Addition
>
S - Subtraction
We go from left to right for operations at the same level (e.g., multiplication and division, or addition and subtraction).
---
1. (50 + 10) × 7
- First:
Brackets: 50 + 10 = 60
- Then: 60 × 7 =
420
✔ Answer: 420
---
2. 30 + 5² × 2
- First:
Indices: 5² = 25
- Then:
Multiplication: 25 × 2 = 50
- Then:
Addition: 30 + 50 =
80
✔ Answer: 80
---
3. 5 × 12 + 8 × 5
- Multiplication first (left to right):
- 5 × 12 = 60
- 8 × 5 = 40
- Then: Addition: 60 + 40 =
100
✔ Answer: 100
---
4. 60 + 60 × 3
- Multiplication first: 60 × 3 = 180
- Then: Addition: 60 + 180 =
240
✔ Answer: 240
---
5. (15 + 15) × 3
- Brackets: 15 + 15 = 30
- Then: 30 × 3 =
90
✔ Answer: 90
---
6. 9 × 5 + 5 × 9
- Multiplications:
- 9 × 5 = 45
- 5 × 9 = 45
- Addition: 45 + 45 =
90
✔ Answer: 90
---
7. 2² × 3² + 5 × 4
- Indices:
- 2² = 4
- 3² = 9
- Multiplications:
- 4 × 9 = 36
- 5 × 4 = 20
- Addition: 36 + 20 =
56
✔ Answer: 56
---
8. 6 × 6 - 5 × 5
- Multiplications:
- 6 × 6 = 36
- 5 × 5 = 25
- Subtraction: 36 - 25 =
11
✔ Answer: 11
---
9. 108 - 12 × 9
- Multiplication: 12 × 9 = 108
- Subtraction: 108 - 108 =
0
✔ Answer: 0
---
10. 50 + 10² × 2
- Indices: 10² = 100
- Multiplication: 100 × 2 = 200
- Addition: 50 + 200 =
250
✔ Answer: 250
---
✔ Final Answers:
1.
420
2.
80
3.
100
4.
240
5.
90
6.
90
7.
56
8.
11
9.
0
10.
250
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of order of operations 5th grade worksheet.
