Order of Operations worksheet with equations and BIMDAS guide for solving math problems.

Let's solve each of the equations step by step using the order of operations, following the BIMDAS rule:

> Brackets
> Indices (powers/exponents)
> Multiplication
> Division
> Addition
> Subtraction

We go from top to bottom in this order.

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1. (50 + 10) × 7 = ?

- First, solve Brackets:
$ 50 + 10 = 60 $
- Then Multiplication:
$ 60 × 7 = 420 $

✔ Answer: 420

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2. 30 + 5² × 2 = ?

- First, Indices:
$ 5² = 25 $
- Then Multiplication:
$ 25 × 2 = 50 $
- Then Addition:
$ 30 + 50 = 80 $

✔ Answer: 80

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3. 5 × 12 + 8 × 5 = ?

- Multiplication first (left to right):
$ 5 × 12 = 60 $
$ 8 × 5 = 40 $
- Then Addition:
$ 60 + 40 = 100 $

✔ Answer: 100

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4. 60 + 60 × 3 = ?

- Multiplication before addition:
$ 60 × 3 = 180 $
- Then Addition:
$ 60 + 180 = 240 $

✔ Answer: 240

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5. (15 + 15) × 3 = ?

- Brackets first:
$ 15 + 15 = 30 $
- Then Multiplication:
$ 30 × 3 = 90 $

✔ Answer: 90

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6. 9 × 5 + 5 × 9 = ?

- Multiplications first:
$ 9 × 5 = 45 $
$ 5 × 9 = 45 $
- Then Addition:
$ 45 + 45 = 90 $

✔ Answer: 90

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7. 2² × 3² + 5 × 4 = ?

- Indices first:
$ 2² = 4 $, $ 3² = 9 $
- Then Multiplication:
$ 4 × 9 = 36 $, $ 5 × 4 = 20 $
- Then Addition:
$ 36 + 20 = 56 $

✔ Answer: 56

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8. 6 × 6 - 5 × 5 = ?

- Multiplications:
$ 6 × 6 = 36 $, $ 5 × 5 = 25 $
- Then Subtraction:
$ 36 - 25 = 11 $

✔ Answer: 11

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9. 108 - 12 × 9 = ?

- Multiplication first:
$ 12 × 9 = 108 $
- Then Subtraction:
$ 108 - 108 = 0 $

✔ Answer: 0

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10. 50 + 10² × 2 = ?

- Indices:
$ 10² = 100 $
- Multiplication:
$ 100 × 2 = 200 $
- Addition:
$ 50 + 200 = 250 $

✔ Answer: 250

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✔ 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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