Algebra - Order of Operation - Worksheet Digital - Free Printable

Sure! Let’s solve each problem step by step using the Order of Operations (also known as PEMDAS):

> Parentheses
> Exponents
> Multiplication and Division (left to right)
> Addition and Subtraction (left to right)

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Problem 1: `14 + (87 × 10) + 30`

- First, do the multiplication inside the parentheses:
→ `87 × 10 = 870`
- Now the expression is: `14 + 870 + 30`
- Add left to right:
→ `14 + 870 = 884`
→ `884 + 30 = 914`

✔ Answer: 914

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Problem 2: `11 × 2 × 4 − 54`

- Multiplication from left to right:
→ `11 × 2 = 22`
→ `22 × 4 = 88`
- Then subtract:
→ `88 − 54 = 34`

✔ Answer: 34

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Problem 3: `62 + 97 − (79 − 51)`

- First, solve inside parentheses:
→ `79 − 51 = 28`
- Now: `62 + 97 − 28`
- Left to right:
→ `62 + 97 = 159`
→ `159 − 28 = 131`

✔ Answer: 131

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Problem 4: `(1 × 3 + 51) − 3`

- Inside parentheses: multiplication first:
→ `1 × 3 = 3`
- Then addition:
→ `3 + 51 = 54`
- Subtract:
→ `54 − 3 = 51`

✔ Answer: 51

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Problem 5: `(12 × 12 ÷ 48) + 93`

- Inside parentheses: left to right for × and ÷
→ `12 × 12 = 144`
→ `144 ÷ 48 = 3`
- Now: `3 + 93 = 96`

✔ Answer: 96

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Problem 6: `78 + 90 − (36 + 41)`

- Parentheses first:
→ `36 + 41 = 77`
- Now: `78 + 90 − 77`
- Left to right:
→ `78 + 90 = 168`
→ `168 − 77 = 91`

✔ Answer: 91

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Problem 7: `(96 − 91 + 71) × 6`

- Inside parentheses: left to right (− then +)
→ `96 − 91 = 5`
→ `5 + 71 = 76`
- Multiply:
→ `76 × 6 = 456`

✔ Answer: 456

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Problem 8: `112 ÷ 16 + (66 ÷ 33)`

- Do divisions first (inside parentheses and outside):
→ `112 ÷ 16 = 7`
→ `66 ÷ 33 = 2`
- Now add:
→ `7 + 2 = 9`

✔ Answer: 9

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## ✔ Final Answers:

| Problem | Answer |
|---------|--------|
| 14 + (87 × 10) + 30 | 914 |
| 11 × 2 × 4 − 54 | 34 |
| 62 + 97 − (79 − 51) | 131 |
| (1 × 3 + 51) − 3 | 51 |
| (12 × 12 ÷ 48) + 93 | 96 |
| 78 + 90 − (36 + 41) | 91 |
| (96 − 91 + 71) × 6 | 456 |
| 112 ÷ 16 + (66 ÷ 33) | 9 |

Let me know if you’d like a printable version or explanation for kids! 😊