Order of Operations math worksheet for practice, featuring 30 problems to solve using PEMDAS rules.
Math worksheet titled "Order of Operations Sheet 5:3" with 30 problems requiring students to solve expressions using the correct order of operations.
GIF
1000×1294
59.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #576725
⭐
Show Answer Key & Explanations
Step-by-step solution for: PEMDAS Problems
▼
Show Answer Key & Explanations
Step-by-step solution for: PEMDAS Problems
Let's solve each problem on the Order of Operations Sheet 5:3 using the correct order of operations, commonly remembered by the acronym PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
We'll go through each problem step by step.
---
- Multiplication first: 5 × 2 = 10
- Then subtraction: 10 - 10 = 0
✔ Answer: 0
---
- Division first: 20 ÷ 2 = 10
- Then addition: 10 + 3 = 13
✔ Answer: 13
---
- Multiplication first: 2 × 7 = 14
- Then addition: 8 + 14 = 22
✔ Answer: 22
---
- Multiplication first: 6 × 0 = 0
- Then subtraction: 5 - 0 = 5
✔ Answer: 5
---
- Multiplication first: 3 × 9 = 27
- Then subtraction: 27 - 7 = 20
✔ Answer: 20
---
- Multiplication first: 5 × 3 = 15
- Then subtraction: 15 - 7 = 8
✔ Answer: 8
---
- Multiplication first: 2 × 5 = 10
- Then subtraction: 6 - 10 = -4
✔ Answer: -4
---
- Division first: 24 ÷ 6 = 4
- Then subtraction: 4 - 5 = -1
✔ Answer: -1
---
- Left to right: 2 × 3 = 6; 6 × 5 = 30
✔ Answer: 30
---
- Left to right: 12 ÷ 4 = 3; 3 ÷ 3 = 1
✔ Answer: 1
---
- Multiplication first: 9 × 4 = 36
- Then addition: 3 + 36 = 39
✔ Answer: 39
---
- Multiplication first: 5 × 3 = 15
- Then subtraction: 12 - 15 = -3
✔ Answer: -3
---
- Division first: 10 ÷ 2 = 5
- Then addition: 9 + 5 = 14
✔ Answer: 14
---
- Left to right: 5 × 3 = 15; 15 ÷ 2 = 7.5
✔ Answer: 7.5
---
- Multiplication first: 9 × 3 = 27
- Then subtraction: 14 - 27 = -13
✔ Answer: -13
---
- Multiplication first: 7 × 5 = 35
- Then addition: 6 + 35 = 41
✔ Answer: 41
---
- Multiplication first: 6 × 3 = 18
- Then subtraction: 18 - 9 = 9
✔ Answer: 9
---
- Parentheses first: 4 + 2 = 6
- Then multiplication: 3 × 6 = 18
✔ Answer: 18
---
- Parentheses first: 9 - 4 = 5
- Then multiplication: 5 × 3 = 15
✔ Answer: 15
---
- Multiplication first: 4 × 9 = 36
- Then subtraction: 36 - 5 = 31
✔ Answer: 31
---
- Division first: 36 ÷ 3 = 12
- Then subtraction: 7 - 12 = -5
✔ Answer: -5
---
- Division first: 8 ÷ 2 = 4
- Then addition: 14 + 4 = 18
✔ Answer: 18
---
- Parentheses first: 9 - 3 = 6
- Then multiplication: 7 × 6 = 42
✔ Answer: 42
---
- Left to right: 12 ÷ 4 = 3; 3 × 6 = 18
✔ Answer: 18
---
- Parentheses first: 8 - 3 = 5
- Then multiplication: 5 × 5 = 25
✔ Answer: 25
---
- Parentheses first: 5 + 8 = 13
- Then multiplication: 4 × 13 = 52
✔ Answer: 52
---
- Multiplication first: 3 × 9 = 27
- Then subtraction: 25 - 27 = -2
✔ Answer: -2
---
- Multiplication first: 14 × 2 = 28
- Then addition: 28 + 7 = 35
✔ Answer: 35
---
- Parentheses first: 2 × 4 = 8
- Then division: 48 ÷ 8 = 6
✔ Answer: 6
---
- Multiplication first: 6 × 5 = 30
- Then subtraction: 18 - 30 = -12
✔ Answer: -12
---
| Problem | Answer |
|--------|--------|
| 1) | 0 |
| 2) | 13 |
| 3) | 22 |
| 4) | 5 |
| 5) | 20 |
| 6) | 8 |
| 7) | -4 |
| 8) | -1 |
| 9) | 30 |
| 10) | 1 |
| 11) | 39 |
| 12) | -3 |
| 13) | 14 |
| 14) | 7.5 |
| 15) | -13 |
| 16) | 41 |
| 17) | 9 |
| 18) | 18 |
| 19) | 15 |
| 20) | 31 |
| 21) | -5 |
| 22) | 18 |
| 23) | 42 |
| 24) | 18 |
| 25) | 25 |
| 26) | 52 |
| 27) | -2 |
| 28) | 35 |
| 29) | 6 |
| 30) | -12 |
---
- Always follow PEMDAS.
- Multiplication and division are done left to right, same with addition and subtraction.
- Parentheses override everything — do them first.
Let me know if you'd like a printable version or explanation for any specific problem!
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
We'll go through each problem step by step.
---
1) 10 - 5 × 2
- Multiplication first: 5 × 2 = 10
- Then subtraction: 10 - 10 = 0
✔ Answer: 0
---
2) 20 ÷ 2 + 3
- Division first: 20 ÷ 2 = 10
- Then addition: 10 + 3 = 13
✔ Answer: 13
---
3) 8 + 2 × 7
- Multiplication first: 2 × 7 = 14
- Then addition: 8 + 14 = 22
✔ Answer: 22
---
4) 5 - 6 × 0
- Multiplication first: 6 × 0 = 0
- Then subtraction: 5 - 0 = 5
✔ Answer: 5
---
5) 3 × 9 - 7
- Multiplication first: 3 × 9 = 27
- Then subtraction: 27 - 7 = 20
✔ Answer: 20
---
6) 5 × 3 - 7
- Multiplication first: 5 × 3 = 15
- Then subtraction: 15 - 7 = 8
✔ Answer: 8
---
7) 6 - 2 × 5
- Multiplication first: 2 × 5 = 10
- Then subtraction: 6 - 10 = -4
✔ Answer: -4
---
8) 24 ÷ 6 - 5
- Division first: 24 ÷ 6 = 4
- Then subtraction: 4 - 5 = -1
✔ Answer: -1
---
9) 2 × 3 × 5
- Left to right: 2 × 3 = 6; 6 × 5 = 30
✔ Answer: 30
---
10) 12 ÷ 4 ÷ 3
- Left to right: 12 ÷ 4 = 3; 3 ÷ 3 = 1
✔ Answer: 1
---
11) 3 + 9 × 4
- Multiplication first: 9 × 4 = 36
- Then addition: 3 + 36 = 39
✔ Answer: 39
---
12) 12 - 5 × 3
- Multiplication first: 5 × 3 = 15
- Then subtraction: 12 - 15 = -3
✔ Answer: -3
---
13) 9 + 10 ÷ 2
- Division first: 10 ÷ 2 = 5
- Then addition: 9 + 5 = 14
✔ Answer: 14
---
14) 5 × 3 ÷ 2
- Left to right: 5 × 3 = 15; 15 ÷ 2 = 7.5
✔ Answer: 7.5
---
15) 14 - 9 × 3
- Multiplication first: 9 × 3 = 27
- Then subtraction: 14 - 27 = -13
✔ Answer: -13
---
16) 6 + 7 × 5
- Multiplication first: 7 × 5 = 35
- Then addition: 6 + 35 = 41
✔ Answer: 41
---
17) 6 × 3 - 9
- Multiplication first: 6 × 3 = 18
- Then subtraction: 18 - 9 = 9
✔ Answer: 9
---
18) 3 × (4 + 2)
- Parentheses first: 4 + 2 = 6
- Then multiplication: 3 × 6 = 18
✔ Answer: 18
---
19) (9 - 4) × 3
- Parentheses first: 9 - 4 = 5
- Then multiplication: 5 × 3 = 15
✔ Answer: 15
---
20) 4 × 9 - 5
- Multiplication first: 4 × 9 = 36
- Then subtraction: 36 - 5 = 31
✔ Answer: 31
---
21) 7 - 36 ÷ 3
- Division first: 36 ÷ 3 = 12
- Then subtraction: 7 - 12 = -5
✔ Answer: -5
---
22) 14 + 8 ÷ 2
- Division first: 8 ÷ 2 = 4
- Then addition: 14 + 4 = 18
✔ Answer: 18
---
23) 7 × (9 - 3)
- Parentheses first: 9 - 3 = 6
- Then multiplication: 7 × 6 = 42
✔ Answer: 42
---
24) 12 ÷ 4 × 6
- Left to right: 12 ÷ 4 = 3; 3 × 6 = 18
✔ Answer: 18
---
25) (8 - 3) × 5
- Parentheses first: 8 - 3 = 5
- Then multiplication: 5 × 5 = 25
✔ Answer: 25
---
26) 4 × (5 + 8)
- Parentheses first: 5 + 8 = 13
- Then multiplication: 4 × 13 = 52
✔ Answer: 52
---
27) 25 - 3 × 9
- Multiplication first: 3 × 9 = 27
- Then subtraction: 25 - 27 = -2
✔ Answer: -2
---
28) 14 × 2 + 7
- Multiplication first: 14 × 2 = 28
- Then addition: 28 + 7 = 35
✔ Answer: 35
---
29) 48 ÷ (2 × 4)
- Parentheses first: 2 × 4 = 8
- Then division: 48 ÷ 8 = 6
✔ Answer: 6
---
30) 18 - 6 × 5
- Multiplication first: 6 × 5 = 30
- Then subtraction: 18 - 30 = -12
✔ Answer: -12
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | 0 |
| 2) | 13 |
| 3) | 22 |
| 4) | 5 |
| 5) | 20 |
| 6) | 8 |
| 7) | -4 |
| 8) | -1 |
| 9) | 30 |
| 10) | 1 |
| 11) | 39 |
| 12) | -3 |
| 13) | 14 |
| 14) | 7.5 |
| 15) | -13 |
| 16) | 41 |
| 17) | 9 |
| 18) | 18 |
| 19) | 15 |
| 20) | 31 |
| 21) | -5 |
| 22) | 18 |
| 23) | 42 |
| 24) | 18 |
| 25) | 25 |
| 26) | 52 |
| 27) | -2 |
| 28) | 35 |
| 29) | 6 |
| 30) | -12 |
---
🔍 Key Tips:
- Always follow PEMDAS.
- Multiplication and division are done left to right, same with addition and subtraction.
- Parentheses override everything — do them first.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of order of operations with parentheses worksheet.