Let's solve each problem step by step using the
order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
---
Problem 1:
-1 × 6² + 12
1.
Exponent: 6² = 36
2.
Multiplication: -1 × 36 = -36
3.
Addition: -36 + 12 =
-24
✔ Answer: -24
---
Problem 2:
4 × 1 + 75
1.
Multiplication: 4 × 1 = 4
2.
Addition: 4 + 75 =
79
✔ Answer: 79
---
Problem 3:
2 × (3² + 4)
1.
Exponent: 3² = 9
2.
Parentheses: 9 + 4 = 13
3.
Multiplication: 2 × 13 =
26
✔ Answer: 26
---
Problem 4:
(9 + 8) × (6 − 5)
1.
Parentheses:
- 9 + 8 = 17
- 6 − 5 = 1
2.
Multiplication: 17 × 1 =
17
✔ Answer: 17
---
Problem 5:
5 × 9 + 37
1.
Multiplication: 5 × 9 = 45
2.
Addition: 45 + 37 =
82
✔ Answer: 82
---
Problem 6:
(80 − (9 + 6)) × 2
1.
Inner parentheses: 9 + 6 = 15
2.
Outer parentheses: 80 − 15 = 65
3.
Multiplication: 65 × 2 =
130
✔ Answer: 130
---
Problem 7:
10 + (5 × 4) ÷ 2
1.
Parentheses: 5 × 4 = 20
2.
Division: 20 ÷ 2 = 10
3.
Addition: 10 + 10 =
20
✔ Answer: 20
---
Problem 8:
(4 + 3) × (2 − 2)
1.
Parentheses:
- 4 + 3 = 7
- 2 − 2 = 0
2.
Multiplication: 7 × 0 =
0
✔ Answer: 0
---
Problem 9:
2 × 6² + 38
1.
Exponent: 6² = 36
2.
Multiplication: 2 × 36 = 72
3.
Addition: 72 + 38 =
110
✔ Answer: 110
---
Problem 10:
(25 − (3 + 9)) × 2
1.
Inner parentheses: 3 + 9 = 12
2.
Outer parentheses: 25 − 12 = 13
3.
Multiplication: 13 × 2 =
26
✔ Answer: 26
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | -24 |
| 2 | 79 |
| 3 | 26 |
| 4 | 17 |
| 5 | 82 |
| 6 | 130 |
| 7 | 20 |
| 8 | 0 |
| 9 | 110 |
| 10 | 26 |
> ⚠️ Note: Since this is a
coloring worksheet, you would need a
color key (not shown in your image) that maps each answer to a color. For example:
> - If -24 → Blue, then color problem 1 blue.
> - If 79 → Red, then color problem 2 red, etc.
Once you have the color key, use the answers above to determine which color goes with each problem number.
Let me know if you'd like help matching colors or if you can provide the color code!
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheets with answers.
