Absolutely! Let’s solve each problem step by step using the
Order of Operations, often remembered by the acronym
PEMDAS:
>
Parentheses
>
Exponents
>
Multiplication and
Division (left to right)
>
Addition and
Subtraction (left to right)
---
1) `(20 + 12) ÷ 4 = ______`
-
Parentheses first: `20 + 12 = 32`
- Then divide: `32 ÷ 4 = 8`
✔ Answer: 8
---
2) `50 + 6 × (11 - 4) = ______`
- Parentheses: `11 - 4 = 7`
- Multiplication: `6 × 7 = 42`
- Addition: `50 + 42 = 92`
✔ Answer: 92
---
3) `50 + 6 × 11 - 4 = ______`
- Multiplication first: `6 × 11 = 66`
- Now left to right: `50 + 66 = 116`, then `116 - 4 = 112`
✔ Answer: 112
---
4) `9 × (12 - 8) + 28 ÷ 7 = ______`
- Parentheses: `12 - 8 = 4`
- Multiplication: `9 × 4 = 36`
- Division: `28 ÷ 7 = 4`
- Addition: `36 + 4 = 40`
✔ Answer: 40
---
5) `18 - (21 - 5) + (22 - 18) = ______`
- Parentheses: `21 - 5 = 16`, `22 - 18 = 4`
- Now: `18 - 16 + 4`
- Left to right: `18 - 16 = 2`, then `2 + 4 = 6`
✔ Answer: 6
---
6) `7 × 2 - (9 + 2) × 14 = ______`
- Parentheses: `9 + 2 = 11`
- Multiplication: `7 × 2 = 14`, `11 × 14 = 154`
- Subtraction: `14 - 154 = -140`
✔ Answer: -140
---
7) `(6 - 3 + 5) × (11 - 4) = ______`
- First parentheses: `6 - 3 + 5` → left to right: `6 - 3 = 3`, `3 + 5 = 8`
- Second parentheses: `11 - 4 = 7`
- Multiply: `8 × 7 = 56`
✔ Answer: 56
---
8) `9 × 3 + (20 - 18) × 4 - 8 = ______`
- Parentheses: `20 - 18 = 2`
- Multiplication: `9 × 3 = 27`, `2 × 4 = 8`
- Now: `27 + 8 - 8`
- Left to right: `27 + 8 = 35`, `35 - 8 = 27`
✔ Answer: 27
---
9) `(37 - 17) × (240 ÷ 20) - 22 × 4 = ______`
- Parentheses: `37 - 17 = 20`, `240 ÷ 20 = 12`
- Multiplication: `20 × 12 = 240`, `22 × 4 = 88`
- Subtraction: `240 - 88 = 152`
✔ Answer: 152
---
10) `11 × 4 - (6 + 3 + 13) ÷ 2 = ______`
- Parentheses: `6 + 3 + 13 = 22`
- Division: `22 ÷ 2 = 11`
- Multiplication: `11 × 4 = 44`
- Subtraction: `44 - 11 = 33`
✔ Answer: 33
---
##
✔ Final Answers:
1)
8
2)
92
3)
112
4)
40
5)
6
6)
-140
7)
56
8)
27
9)
152
10)
33
Let me know if you’d like a printable version or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of order of operations with brackets worksheet.