Let's solve each problem step by step using the
order of operations, often remembered by the acronym
PEMDAS:
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
---
1. (25 + 5) × 3 - 13
- First, parentheses:
$ 25 + 5 = 30 $
- Then multiplication:
$ 30 × 3 = 90 $
- Then subtraction:
$ 90 - 13 = 77 $
✔ Answer: 77
---
2. 19 + 12 × 2 - 4
- Multiplication first:
$ 12 × 2 = 24 $
- Now:
$ 19 + 24 - 4 $
- Left to right:
$ 19 + 24 = 43 $, then $ 43 - 4 = 39 $
✔ Answer: 39
---
3. 42 + 32 ÷ 4
- Division first:
$ 32 ÷ 4 = 8 $
- Then addition:
$ 42 + 8 = 50 $
✔ Answer: 50
---
4. 12 + 34 × 2 ÷ 2
- Multiplication and division from left to right:
$ 34 × 2 = 68 $
$ 68 ÷ 2 = 34 $
- Then addition:
$ 12 + 34 = 46 $
✔ Answer: 46
---
5. (4 + 3) × (2 + 5)
- Parentheses first:
$ 4 + 3 = 7 $
$ 2 + 5 = 7 $
- Then multiplication:
$ 7 × 7 = 49 $
✔ Answer: 49
---
6. 2 + 14 × 5 - 5
- Multiplication first:
$ 14 × 5 = 70 $
- Now:
$ 2 + 70 - 5 $
- Left to right:
$ 2 + 70 = 72 $, then $ 72 - 5 = 67 $
✔ Answer: 67
---
7. 22 + 4 × 5 - 13
- Multiplication:
$ 4 × 5 = 20 $
- Now:
$ 22 + 20 - 13 $
- Left to right:
$ 22 + 20 = 42 $, then $ 42 - 13 = 29 $
✔ Answer: 29
---
8. 13 - 42 ÷ 7 + 2
- Division first:
$ 42 ÷ 7 = 6 $
- Now:
$ 13 - 6 + 2 $
- Left to right:
$ 13 - 6 = 7 $, then $ 7 + 2 = 9 $
✔ Answer: 9
---
9. 15 + 2 - 14 ÷ 7
- Division first:
$ 14 ÷ 7 = 2 $
- Now:
$ 15 + 2 - 2 $
- Left to right:
$ 15 + 2 = 17 $, then $ 17 - 2 = 15 $
✔ Answer: 15
---
10. (18 - 7) × 2
- Parentheses first:
$ 18 - 7 = 11 $
- Then multiplication:
$ 11 × 2 = 22 $
✔ Answer: 22
---
✔ Final Answers:
1.
77
2.
39
3.
50
4.
46
5.
49
6.
67
7.
29
8.
9
9.
15
10.
22
Let me know if you'd like a printable version or explanations in another format!
Parent Tip: Review the logic above to help your child master the concept of order of operations math worksheets.