Order of Operations Worksheet 8 Worksheets - Free Printable
Educational worksheet: Order of Operations Worksheet 8 Worksheets. Download and print for classroom or home learning activities.
JPG
356×470
24 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #748254
⭐
Show Answer Key & Explanations
Step-by-step solution for: Order of Operations Worksheet 8 Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Order of Operations Worksheet 8 Worksheets
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).
---
- First: (2 × 6) = 12
- Then: 12 − 8 = 4
- Then: 4 + 8 = 12
- Result: 12 ≠ 11 → False
---
- 60 ÷ 9 ≈ 6.67, 12 ÷ 6 = 2
- So: (6.67 + 2) = 8.67
- Then: 8.67 − 1 = 7.67 ≈ 7.67
- But we're dealing with exact values:
- 60 ÷ 9 = 20/3 ≈ 6.666...
- 12 ÷ 6 = 2
- 20/3 + 2 = 20/3 + 6/3 = 26/3
- 26/3 − 1 = 23/3 ≈ 7.67 ≠ 10 → False
Wait — let's check if it's meant to be exact.
But 60 ÷ 9 is not a whole number. Maybe there’s a typo? Let's keep going.
---
- First: 4 × 3 = 12
- Then: 12 × 4 = 48
- Then: 19 − 48 = -29
- Result: -29 ≠ -47 → False
---
- Inside parentheses: 2 × 5 = 10, then 10 + 1 = 11
- Then: 39 − 11 = 28
- 28 ≠ 16 → False
---
- 50 + 4 = 54
- 54 × 2 = 108
- 108 ≠ 1000 → False
---
- First: 5 × 3 = 15
- Then: 7 × 5 = 35
- 35 × 15 = 525
- Then: 525 − 3 = 522
- 522 ≠ 1400 → False
---
- 5 × 8 = 40
- 14 ÷ 5 = 2.8
- 7 + 40 = 47
- 47 + 2.8 = 49.8
- 49.8 ≠ 519 → False
---
- Inside: 7 × 1 = 7
- 13 − 7 = 6
- 1 − 6 = -5
- -5 ≠ 7 → False
---
- 60 ÷ 9 = 6.666...
- 5 − 6.666... = -1.666...
- -1.666... + 8 = 6.333...
- ≈ 6.33 ≠ 2 → False
---
- 6 − 2 = 4
- 3 × 4 = 12
- 6 × 3 = 18
- 12 + 18 = 30
- 30 ≠ 702 → False
---
- 7 ÷ 2 = 3.5
- 3 + 3.5 = 6.5
- 6.5 − 1 = 5.5
- 5.5 = 5.5 → True ✔
---
- 3² = 9
- 9 × 8 = 72
- 72 ÷ 6 = 12
- 12 ≠ 222 → False
---
- 4 + 12 = 16
- 16 ÷ 2 = 8
- 8 ≠ 6 → False
---
- 8 ÷ 2 = 4
- 4 ÷ 3 ≈ 1.333...
- 8 − 1.333... ≈ 6.666...
- ≈ 6.67 ≠ 12 → False
---
- 5 × 19 = 95
- 95 − 9 = 86
- 1 − 86 = -85
- -85 ≠ -13 → False
---
- 2² = 4
- 7 + 1 = 8
- 8 × 9 = 72
- 4 − 72 = -68
- -68 − 4 = -72
- -72 ≠ -59 → False
---
- 50 − 8 = 42
- 42 − 9 = 33
- 33 × 12 = 396
- 396 ≠ -1424 → False
---
- 8 + 2 = 10
- 10 ÷ 2 = 5
- 10 ÷ 1 = 10
- 5 + 10 = 15
- 15 ≠ 12 → False
---
- 4 − 4 = 0
- 0 ÷ 8 = 0
- 0 = 0 → True ✔
---
- 4² = 16
- 16 + 9 = 25
- 25 × 2 = 50
- 50 − 8 = 42
- 42 ≠ 26 → False
---
Only #11 and #19 are true.
---
- 11. (3 + 7 ÷ 2 − 1) = 5.5 → ✔ True
- 19. (4 − 4) ÷ 8 = 0 → ✔ True
All others are false.
---
The task appears to be a "True or False" worksheet on order of operations.
✔ Correct answers:
- 11. True
- 19. True
✘ All others are false.
Let me know if you want to fix any of the incorrect ones or see how to correct them!
---
1. (2 × 6) − 8 + 8 = 11
- First: (2 × 6) = 12
- Then: 12 − 8 = 4
- Then: 4 + 8 = 12
- Result: 12 ≠ 11 → False
---
2. (60 ÷ 9 + 12 ÷ 6) − 1 = 10
- 60 ÷ 9 ≈ 6.67, 12 ÷ 6 = 2
- So: (6.67 + 2) = 8.67
- Then: 8.67 − 1 = 7.67 ≈ 7.67
- But we're dealing with exact values:
- 60 ÷ 9 = 20/3 ≈ 6.666...
- 12 ÷ 6 = 2
- 20/3 + 2 = 20/3 + 6/3 = 26/3
- 26/3 − 1 = 23/3 ≈ 7.67 ≠ 10 → False
Wait — let's check if it's meant to be exact.
But 60 ÷ 9 is not a whole number. Maybe there’s a typo? Let's keep going.
---
3. 19 − (4 × 3) × 4 = -47
- First: 4 × 3 = 12
- Then: 12 × 4 = 48
- Then: 19 − 48 = -29
- Result: -29 ≠ -47 → False
---
4. 39 − (2 × 5 + 1) = 16
- Inside parentheses: 2 × 5 = 10, then 10 + 1 = 11
- Then: 39 − 11 = 28
- 28 ≠ 16 → False
---
5. (50 + 4) × 2 = 1000
- 50 + 4 = 54
- 54 × 2 = 108
- 108 ≠ 1000 → False
---
6. 7 × 5 × (5 × 3) − 3 = 1400
- First: 5 × 3 = 15
- Then: 7 × 5 = 35
- 35 × 15 = 525
- Then: 525 − 3 = 522
- 522 ≠ 1400 → False
---
7. 7 + (5 × 8) + 14 ÷ 5 = 519
- 5 × 8 = 40
- 14 ÷ 5 = 2.8
- 7 + 40 = 47
- 47 + 2.8 = 49.8
- 49.8 ≠ 519 → False
---
8. 1 − (13 − 7 × 1) = 7
- Inside: 7 × 1 = 7
- 13 − 7 = 6
- 1 − 6 = -5
- -5 ≠ 7 → False
---
9. 5 − (60 ÷ 9) + 8 = 2
- 60 ÷ 9 = 6.666...
- 5 − 6.666... = -1.666...
- -1.666... + 8 = 6.333...
- ≈ 6.33 ≠ 2 → False
---
10. 3 × (6 − 2) + 6 × 3 = 702
- 6 − 2 = 4
- 3 × 4 = 12
- 6 × 3 = 18
- 12 + 18 = 30
- 30 ≠ 702 → False
---
11. (3 + 7 ÷ 2 − 1) = 5.5
- 7 ÷ 2 = 3.5
- 3 + 3.5 = 6.5
- 6.5 − 1 = 5.5
- 5.5 = 5.5 → True ✔
---
12. (3² × 8) ÷ 6 = 222
- 3² = 9
- 9 × 8 = 72
- 72 ÷ 6 = 12
- 12 ≠ 222 → False
---
13. (4 + 12) ÷ 2 = 6
- 4 + 12 = 16
- 16 ÷ 2 = 8
- 8 ≠ 6 → False
---
14. 8 − (8 ÷ 2) ÷ 3 = 12
- 8 ÷ 2 = 4
- 4 ÷ 3 ≈ 1.333...
- 8 − 1.333... ≈ 6.666...
- ≈ 6.67 ≠ 12 → False
---
15. 1 − (5 × 19 − 9) = -13
- 5 × 19 = 95
- 95 − 9 = 86
- 1 − 86 = -85
- -85 ≠ -13 → False
---
16. 2² − (7 + 1) × 9 − 4 = -59
- 2² = 4
- 7 + 1 = 8
- 8 × 9 = 72
- 4 − 72 = -68
- -68 − 4 = -72
- -72 ≠ -59 → False
---
17. (50 − 8 − 9) × 12 = -1424
- 50 − 8 = 42
- 42 − 9 = 33
- 33 × 12 = 396
- 396 ≠ -1424 → False
---
18. (8 + 2) ÷ 2 + 10 ÷ 1 = 12
- 8 + 2 = 10
- 10 ÷ 2 = 5
- 10 ÷ 1 = 10
- 5 + 10 = 15
- 15 ≠ 12 → False
---
19. (4 − 4) ÷ 8 = 0
- 4 − 4 = 0
- 0 ÷ 8 = 0
- 0 = 0 → True ✔
---
20. (4² + 9) × 2 − 8 = 26
- 4² = 16
- 16 + 9 = 25
- 25 × 2 = 50
- 50 − 8 = 42
- 42 ≠ 26 → False
---
✔ Final Answers:
Only #11 and #19 are true.
---
✔️ Correct Statements:
- 11. (3 + 7 ÷ 2 − 1) = 5.5 → ✔ True
- 19. (4 − 4) ÷ 8 = 0 → ✔ True
All others are false.
---
🔍 Summary:
The task appears to be a "True or False" worksheet on order of operations.
✔ Correct answers:
- 11. True
- 19. True
✘ All others are false.
Let me know if you want to fix any of the incorrect ones or see how to correct them!
Parent Tip: Review the logic above to help your child master the concept of integers order of operations worksheet.
