Grade 6 Division of Decimals Worksheets - free & printable| Worsheets library... - Free Printable
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Step-by-step solution for: Grade 6 Division of Decimals Worksheets - free & printable| Worsheets library...
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Step-by-step solution for: Grade 6 Division of Decimals Worksheets - free & printable| Worsheets library...
Let's solve each of these decimal division problems step by step. The goal is to divide decimals and find whole number quotients — meaning the result should be a whole number (no remainder or decimal part).
We’ll go through each problem, showing how to simplify the division by eliminating decimals using multiplication (by moving the decimal point), then dividing.
---
To divide decimals:
1. Multiply both the dividend and divisor by the same power of 10 so that the divisor becomes a whole number.
2. Perform the division.
3. Check if the quotient is a whole number.
---
Now let’s solve each one:
---
1. 0.55 ÷ 0.05
Multiply both numbers by 100:
- 0.55 × 100 = 55
- 0.05 × 100 = 5
So:
55 ÷ 5 = 11
✔ Answer: 11
---
2. 0.66 ÷ 0.03
Multiply both by 100:
- 0.66 × 100 = 66
- 0.03 × 100 = 3
66 ÷ 3 = 22
✔ Answer: 22
---
3. 0.63 ÷ 0.07
Multiply both by 100:
- 0.63 × 100 = 63
- 0.07 × 100 = 7
63 ÷ 7 = 9
✔ Answer: 9
---
4. 0.75 ÷ 0.025
Multiply both by 1000 to eliminate all decimals:
- 0.75 × 1000 = 750
- 0.025 × 1000 = 25
750 ÷ 25 = 30
✔ Answer: 30
---
5. 0.48 ÷ 0.01
Multiply both by 100:
- 0.48 × 100 = 48
- 0.01 × 100 = 1
48 ÷ 1 = 48
✔ Answer: 48
---
6. 0.56 ÷ 0.02
Multiply both by 100:
- 0.56 × 100 = 56
- 0.02 × 100 = 2
56 ÷ 2 = 28
✔ Answer: 28
---
7. 0.42 ÷ 0.07
Multiply both by 100:
- 0.42 × 100 = 42
- 0.07 × 100 = 7
42 ÷ 7 = 6
✔ Answer: 6
---
8. 0.81 ÷ 0.09
Multiply both by 100:
- 0.81 × 100 = 81
- 0.09 × 100 = 9
81 ÷ 9 = 9
✔ Answer: 9
---
9. 0.22 ÷ 0.044
Multiply both by 1000:
- 0.22 × 1000 = 220
- 0.044 × 1000 = 44
220 ÷ 44 = 5
✔ Answer: 5
---
10. 0.36 ÷ 0.04
Multiply both by 100:
- 0.36 × 100 = 36
- 0.04 × 100 = 4
36 ÷ 4 = 9
✔ Answer: 9
---
11. 0.46 ÷ 0.02
Multiply both by 100:
- 0.46 × 100 = 46
- 0.02 × 100 = 2
46 ÷ 2 = 23
✔ Answer: 23
---
12. 0.35 ÷ 0.005
Multiply both by 1000:
- 0.35 × 1000 = 350
- 0.005 × 1000 = 5
350 ÷ 5 = 70
✔ Answer: 70
---
13. 0.54 ÷ 0.06
Multiply both by 100:
- 0.54 × 100 = 54
- 0.06 × 100 = 6
54 ÷ 6 = 9
✔ Answer: 9
---
14. 0.96 ÷ 0.08
Multiply both by 100:
- 0.96 × 100 = 96
- 0.08 × 100 = 8
96 ÷ 8 = 12
✔ Answer: 12
---
15. 0.83 ÷ 0.415
Multiply both by 1000:
- 0.83 × 1000 = 830
- 0.415 × 1000 = 415
830 ÷ 415 = 2
✔ Answer: 2
---
16. 0.24 ÷ 0.06
Multiply both by 100:
- 0.24 × 100 = 24
- 0.06 × 100 = 6
24 ÷ 6 = 4
✔ Answer: 4
---
17. 0.36 ÷ 0.09
Multiply both by 100:
- 0.36 × 100 = 36
- 0.09 × 100 = 9
36 ÷ 9 = 4
✔ Answer: 4
---
18. 0.72 ÷ 0.008
Multiply both by 1000:
- 0.72 × 1000 = 720
- 0.008 × 1000 = 8
720 ÷ 8 = 90
✔ Answer: 90
---
19. 0.14 ÷ 0.07
Multiply both by 100:
- 0.14 × 100 = 14
- 0.07 × 100 = 7
14 ÷ 7 = 2
✔ Answer: 2
---
20. 0.35 ÷ 0.07
Multiply both by 100:
- 0.35 × 100 = 35
- 0.07 × 100 = 7
35 ÷ 7 = 5
✔ Answer: 5
---
1. 11
2. 22
3. 9
4. 30
5. 48
6. 28
7. 6
8. 9
9. 5
10. 9
11. 23
12. 70
13. 9
14. 12
15. 2
16. 4
17. 4
18. 90
19. 2
20. 5
---
All problems involve dividing decimals where the result is a whole number. The key is to eliminate decimals by multiplying both numbers by the same power of 10, then performing simple division.
This skill reinforces understanding of place value and the relationship between decimals and whole numbers.
Let me know if you'd like this as a printable answer key!
We’ll go through each problem, showing how to simplify the division by eliminating decimals using multiplication (by moving the decimal point), then dividing.
---
General Strategy:
To divide decimals:
1. Multiply both the dividend and divisor by the same power of 10 so that the divisor becomes a whole number.
2. Perform the division.
3. Check if the quotient is a whole number.
---
Now let’s solve each one:
---
1. 0.55 ÷ 0.05
Multiply both numbers by 100:
- 0.55 × 100 = 55
- 0.05 × 100 = 5
So:
55 ÷ 5 = 11
✔ Answer: 11
---
2. 0.66 ÷ 0.03
Multiply both by 100:
- 0.66 × 100 = 66
- 0.03 × 100 = 3
66 ÷ 3 = 22
✔ Answer: 22
---
3. 0.63 ÷ 0.07
Multiply both by 100:
- 0.63 × 100 = 63
- 0.07 × 100 = 7
63 ÷ 7 = 9
✔ Answer: 9
---
4. 0.75 ÷ 0.025
Multiply both by 1000 to eliminate all decimals:
- 0.75 × 1000 = 750
- 0.025 × 1000 = 25
750 ÷ 25 = 30
✔ Answer: 30
---
5. 0.48 ÷ 0.01
Multiply both by 100:
- 0.48 × 100 = 48
- 0.01 × 100 = 1
48 ÷ 1 = 48
✔ Answer: 48
---
6. 0.56 ÷ 0.02
Multiply both by 100:
- 0.56 × 100 = 56
- 0.02 × 100 = 2
56 ÷ 2 = 28
✔ Answer: 28
---
7. 0.42 ÷ 0.07
Multiply both by 100:
- 0.42 × 100 = 42
- 0.07 × 100 = 7
42 ÷ 7 = 6
✔ Answer: 6
---
8. 0.81 ÷ 0.09
Multiply both by 100:
- 0.81 × 100 = 81
- 0.09 × 100 = 9
81 ÷ 9 = 9
✔ Answer: 9
---
9. 0.22 ÷ 0.044
Multiply both by 1000:
- 0.22 × 1000 = 220
- 0.044 × 1000 = 44
220 ÷ 44 = 5
✔ Answer: 5
---
10. 0.36 ÷ 0.04
Multiply both by 100:
- 0.36 × 100 = 36
- 0.04 × 100 = 4
36 ÷ 4 = 9
✔ Answer: 9
---
11. 0.46 ÷ 0.02
Multiply both by 100:
- 0.46 × 100 = 46
- 0.02 × 100 = 2
46 ÷ 2 = 23
✔ Answer: 23
---
12. 0.35 ÷ 0.005
Multiply both by 1000:
- 0.35 × 1000 = 350
- 0.005 × 1000 = 5
350 ÷ 5 = 70
✔ Answer: 70
---
13. 0.54 ÷ 0.06
Multiply both by 100:
- 0.54 × 100 = 54
- 0.06 × 100 = 6
54 ÷ 6 = 9
✔ Answer: 9
---
14. 0.96 ÷ 0.08
Multiply both by 100:
- 0.96 × 100 = 96
- 0.08 × 100 = 8
96 ÷ 8 = 12
✔ Answer: 12
---
15. 0.83 ÷ 0.415
Multiply both by 1000:
- 0.83 × 1000 = 830
- 0.415 × 1000 = 415
830 ÷ 415 = 2
✔ Answer: 2
---
16. 0.24 ÷ 0.06
Multiply both by 100:
- 0.24 × 100 = 24
- 0.06 × 100 = 6
24 ÷ 6 = 4
✔ Answer: 4
---
17. 0.36 ÷ 0.09
Multiply both by 100:
- 0.36 × 100 = 36
- 0.09 × 100 = 9
36 ÷ 9 = 4
✔ Answer: 4
---
18. 0.72 ÷ 0.008
Multiply both by 1000:
- 0.72 × 1000 = 720
- 0.008 × 1000 = 8
720 ÷ 8 = 90
✔ Answer: 90
---
19. 0.14 ÷ 0.07
Multiply both by 100:
- 0.14 × 100 = 14
- 0.07 × 100 = 7
14 ÷ 7 = 2
✔ Answer: 2
---
20. 0.35 ÷ 0.07
Multiply both by 100:
- 0.35 × 100 = 35
- 0.07 × 100 = 7
35 ÷ 7 = 5
✔ Answer: 5
---
✔ Final Answers:
1. 11
2. 22
3. 9
4. 30
5. 48
6. 28
7. 6
8. 9
9. 5
10. 9
11. 23
12. 70
13. 9
14. 12
15. 2
16. 4
17. 4
18. 90
19. 2
20. 5
---
🔍 Summary:
All problems involve dividing decimals where the result is a whole number. The key is to eliminate decimals by multiplying both numbers by the same power of 10, then performing simple division.
This skill reinforces understanding of place value and the relationship between decimals and whole numbers.
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of decimals divided by decimals worksheet.