Math worksheet for practicing division by multiples of positive powers of ten.
Worksheet titled "Dividing by Multiples of Positive Powers of Ten (A)" with math problems involving division by powers of ten, including numbers like 10, 100, 1000, and their multiples.
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Step-by-step solution for: Multiplying and dividing by powers of 10 worksheets for 5th grade
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and dividing by powers of 10 worksheets for 5th grade
Let’s solve each division problem step by step. Remember: dividing by a multiple of 10 (like 10, 100, 1000) is easy — you just move the decimal point to the left based on how many zeros are in the divisor.
For example:
- Dividing by 10 → move decimal 1 place left
- Dividing by 100 → move decimal 2 places left
- Dividing by 1000 → move decimal 3 places left
- And so on!
We’ll go row by row.
---
First Column:
1. 30 ÷ 5 = ?
5 × 6 = 30 → Answer: 6
2. 30 ÷ 50 = ?
Think: 30 ÷ 50 = 3 ÷ 5 = 0.6 → Answer: 0.6
3. 10 ÷ 500 = ?
10 ÷ 500 = 1 ÷ 50 = 0.02 → Answer: 0.02
4. 35 ÷ 5000 = ?
35 ÷ 5000 = 7 ÷ 1000 = 0.007 → Answer: 0.007
5. 30 ÷ 50000 = ?
30 ÷ 50000 = 3 ÷ 5000 = 0.0006 → Answer: 0.0006
6. 16 ÷ 8 = ?
8 × 2 = 16 → Answer: 2
7. 16 ÷ 80 = ?
16 ÷ 80 = 2 ÷ 10 = 0.2 → Answer: 0.2
8. 16 ÷ 800 = ?
16 ÷ 800 = 2 ÷ 100 = 0.02 → Answer: 0.02
9. 16 ÷ 8000 = ?
16 ÷ 8000 = 2 ÷ 1000 = 0.002 → Answer: 0.002
10. 16 ÷ 80000 = ?
16 ÷ 80000 = 2 ÷ 10000 = 0.0002 → Answer: 0.0002
11. 90 ÷ 9 = ?
9 × 10 = 90 → Answer: 10
12. 90 ÷ 90 = ?
90 ÷ 90 = 1 → Answer: 1
13. 90 ÷ 900 = ?
90 ÷ 900 = 1 ÷ 10 = 0.1 → Answer: 0.1
14. 90 ÷ 9000 = ?
90 ÷ 9000 = 1 ÷ 100 = 0.01 → Answer: 0.01
15. 90 ÷ 90000 = ?
90 ÷ 90000 = 1 ÷ 1000 = 0.001 → Answer: 0.001
16. 15 ÷ 5 = ?
5 × 3 = 15 → Answer: 3
17. 15 ÷ 50 = ?
15 ÷ 50 = 3 ÷ 10 = 0.3 → Answer: 0.3
18. 15 ÷ 500 = ?
15 ÷ 500 = 3 ÷ 100 = 0.03 → Answer: 0.03
19. 15 ÷ 5000 = ?
15 ÷ 5000 = 3 ÷ 1000 = 0.003 → Answer: 0.003
20. 15 ÷ 50000 = ?
15 ÷ 50000 = 3 ÷ 10000 = 0.0003 → Answer: 0.0003
21. 8 ÷ 2 = ?
2 × 4 = 8 → Answer: 4
22. 8 ÷ 20 = ?
8 ÷ 20 = 4 ÷ 10 = 0.4 → Answer: 0.4
23. 8 ÷ 200 = ?
8 ÷ 200 = 4 ÷ 100 = 0.04 → Answer: 0.04
24. 8 ÷ 2000 = ?
8 ÷ 2000 = 4 ÷ 1000 = 0.004 → Answer: 0.004
25. 8 ÷ 20000 = ?
8 ÷ 20000 = 4 ÷ 10000 = 0.0004 → Answer: 0.0004
---
Second Column:
26. 14 ÷ 7 = ?
7 × 2 = 14 → Answer: 2
27. 14 ÷ 70 = ?
14 ÷ 70 = 2 ÷ 10 = 0.2 → Answer: 0.2
28. 14 ÷ 700 = ?
14 ÷ 700 = 2 ÷ 100 = 0.02 → Answer: 0.02
29. 14 ÷ 7000 = ?
14 ÷ 7000 = 2 ÷ 1000 = 0.002 → Answer: 0.002
30. 14 ÷ 70000 = ?
14 ÷ 70000 = 2 ÷ 10000 = 0.0002 → Answer: 0.0002
31. 10 ÷ 2 = ?
2 × 5 = 10 → Answer: 5
32. 10 ÷ 20 = ?
10 ÷ 20 = 1 ÷ 2 = 0.5 → Answer: 0.5
33. 10 ÷ 200 = ?
10 ÷ 200 = 1 ÷ 20 = 0.05 → Answer: 0.05
34. 10 ÷ 2000 = ?
10 ÷ 2000 = 1 ÷ 200 = 0.005 → Answer: 0.005
35. 10 ÷ 20000 = ?
10 ÷ 20000 = 1 ÷ 2000 = 0.0005 → Answer: 0.0005
36. 24 ÷ 2 = ?
2 × 12 = 24 → Answer: 12
37. 24 ÷ 20 = ?
24 ÷ 20 = 12 ÷ 10 = 1.2 → Answer: 1.2
38. 24 ÷ 200 = ?
24 ÷ 200 = 12 ÷ 100 = 0.12 → Answer: 0.12
39. 24 ÷ 2000 = ?
24 ÷ 2000 = 12 ÷ 1000 = 0.012 → Answer: 0.012
40. 24 ÷ 20000 = ?
24 ÷ 20000 = 12 ÷ 10000 = 0.0012 → Answer: 0.0012
41. 3 ÷ 1 = ?
Any number divided by 1 is itself → Answer: 3
42. 3 ÷ 10 = ?
Move decimal 1 place left → 0.3 → Answer: 0.3
43. 3 ÷ 100 = ?
Move decimal 2 places left → 0.03 → Answer: 0.03
44. 3 ÷ 1000 = ?
Move decimal 3 places left → 0.003 → Answer: 0.003
45. 3 ÷ 10000 = ?
Move decimal 4 places left → 0.0003 → Answer: 0.0003
46. 10 ÷ 2 = ? *(already done above — same as #31)* → 5
47. 10 ÷ 20 = ? *(same as #32)* → 0.5
48. 10 ÷ 200 = ? *(same as #33)* → 0.05
49. 10 ÷ 2000 = ? *(same as #34)* → 0.005
50. 10 ÷ 20000 = ? *(same as #35)* → 0.0005
Wait — looking back at the original image layout, it seems there are two columns with 25 problems each? But actually, counting again — let me recheck the structure.
Actually, from the image description, it looks like there are 5 rows per column and 5 columns? Wait no — let me recount properly.
Looking at the user's text version:
It shows:
Left side:
30÷5, 30÷50, 10÷500, 35÷5000, 30÷50000
Then 16÷8, 16÷80, 16÷800, 16÷8000, 16÷80000
Then 90÷9, 90÷90, 90÷900, 90÷9000, 90÷90000
Then 15÷5, 15÷50, 15÷500, 15÷5000, 15÷50000
Then 8÷2, 8÷20, 8÷200, 8÷2000, 8÷20000
Right side:
14÷7, 14÷70, 14÷700, 14÷7000, 14÷70000
Then 10÷2, 10÷20, 10÷200, 10÷2000, 10÷20000
Then 24÷2, 24÷20, 24÷200, 24÷2000, 24÷20000
Then 3÷1, 3÷10, 3÷100, 3÷1000, 3÷10000
Then 10÷2, 10÷20, 10÷200, 10÷2000, 10÷20000 ← this last group repeats the earlier one? That might be a typo in the image or transcription.
But since we’re solving what’s given, I’ll assume all 50 problems are to be solved as listed.
However, notice that “10 ÷ 2” etc. appear twice — once in the middle right and once at the bottom right. We’ll solve them both as written.
So total answers:
Let me list them in order as they appear in the image (left to right, top to bottom):
Row 1:
30÷5 = 6
14÷7 = 2
30÷50 = 0.6
14÷70 = 0.2
10÷500 = 0.02
14÷700 = 0.02
35÷5000 = 0.007
14÷7000 = 0.002
30÷50000 = 0.0006
14÷70000 = 0.0002
Row 2:
16÷8 = 2
10÷2 = 5
16÷80 = 0.2
10÷20 = 0.5
16÷800 = 0.02
10÷200 = 0.05
16÷8000 = 0.002
10÷2000 = 0.005
16÷80000 = 0.0002
10÷20000 = 0.0005
Row 3:
90÷9 = 10
24÷2 = 12
90÷90 = 1
24÷20 = 1.2
90÷900 = 0.1
24÷200 = 0.12
90÷9000 = 0.01
24÷2000 = 0.012
90÷90000 = 0.001
24÷20000 = 0.0012
Row 4:
15÷5 = 3
3÷1 = 3
15÷50 = 0.3
3÷10 = 0.3
15÷500 = 0.03
3÷100 = 0.03
15÷5000 = 0.003
3÷1000 = 0.003
15÷50000 = 0.0003
3÷10000 = 0.0003
Row 5:
8÷2 = 4
10÷2 = 5
8÷20 = 0.4
10÷20 = 0.5
8÷200 = 0.04
10÷200 = 0.05
8÷2000 = 0.004
10÷2000 = 0.005
8÷20000 = 0.0004
10÷20000 = 0.0005
All calculations verified.
Final Answer:
6, 2, 0.6, 0.2, 0.02, 0.02, 0.007, 0.002, 0.0006, 0.0002,
2, 5, 0.2, 0.5, 0.02, 0.05, 0.002, 0.005, 0.0002, 0.0005,
10, 12, 1, 1.2, 0.1, 0.12, 0.01, 0.012, 0.001, 0.0012,
3, 3, 0.3, 0.3, 0.03, 0.03, 0.003, 0.003, 0.0003, 0.0003,
4, 5, 0.4, 0.5, 0.04, 0.05, 0.004, 0.005, 0.0004, 0.0005
For example:
- Dividing by 10 → move decimal 1 place left
- Dividing by 100 → move decimal 2 places left
- Dividing by 1000 → move decimal 3 places left
- And so on!
We’ll go row by row.
---
First Column:
1. 30 ÷ 5 = ?
5 × 6 = 30 → Answer: 6
2. 30 ÷ 50 = ?
Think: 30 ÷ 50 = 3 ÷ 5 = 0.6 → Answer: 0.6
3. 10 ÷ 500 = ?
10 ÷ 500 = 1 ÷ 50 = 0.02 → Answer: 0.02
4. 35 ÷ 5000 = ?
35 ÷ 5000 = 7 ÷ 1000 = 0.007 → Answer: 0.007
5. 30 ÷ 50000 = ?
30 ÷ 50000 = 3 ÷ 5000 = 0.0006 → Answer: 0.0006
6. 16 ÷ 8 = ?
8 × 2 = 16 → Answer: 2
7. 16 ÷ 80 = ?
16 ÷ 80 = 2 ÷ 10 = 0.2 → Answer: 0.2
8. 16 ÷ 800 = ?
16 ÷ 800 = 2 ÷ 100 = 0.02 → Answer: 0.02
9. 16 ÷ 8000 = ?
16 ÷ 8000 = 2 ÷ 1000 = 0.002 → Answer: 0.002
10. 16 ÷ 80000 = ?
16 ÷ 80000 = 2 ÷ 10000 = 0.0002 → Answer: 0.0002
11. 90 ÷ 9 = ?
9 × 10 = 90 → Answer: 10
12. 90 ÷ 90 = ?
90 ÷ 90 = 1 → Answer: 1
13. 90 ÷ 900 = ?
90 ÷ 900 = 1 ÷ 10 = 0.1 → Answer: 0.1
14. 90 ÷ 9000 = ?
90 ÷ 9000 = 1 ÷ 100 = 0.01 → Answer: 0.01
15. 90 ÷ 90000 = ?
90 ÷ 90000 = 1 ÷ 1000 = 0.001 → Answer: 0.001
16. 15 ÷ 5 = ?
5 × 3 = 15 → Answer: 3
17. 15 ÷ 50 = ?
15 ÷ 50 = 3 ÷ 10 = 0.3 → Answer: 0.3
18. 15 ÷ 500 = ?
15 ÷ 500 = 3 ÷ 100 = 0.03 → Answer: 0.03
19. 15 ÷ 5000 = ?
15 ÷ 5000 = 3 ÷ 1000 = 0.003 → Answer: 0.003
20. 15 ÷ 50000 = ?
15 ÷ 50000 = 3 ÷ 10000 = 0.0003 → Answer: 0.0003
21. 8 ÷ 2 = ?
2 × 4 = 8 → Answer: 4
22. 8 ÷ 20 = ?
8 ÷ 20 = 4 ÷ 10 = 0.4 → Answer: 0.4
23. 8 ÷ 200 = ?
8 ÷ 200 = 4 ÷ 100 = 0.04 → Answer: 0.04
24. 8 ÷ 2000 = ?
8 ÷ 2000 = 4 ÷ 1000 = 0.004 → Answer: 0.004
25. 8 ÷ 20000 = ?
8 ÷ 20000 = 4 ÷ 10000 = 0.0004 → Answer: 0.0004
---
Second Column:
26. 14 ÷ 7 = ?
7 × 2 = 14 → Answer: 2
27. 14 ÷ 70 = ?
14 ÷ 70 = 2 ÷ 10 = 0.2 → Answer: 0.2
28. 14 ÷ 700 = ?
14 ÷ 700 = 2 ÷ 100 = 0.02 → Answer: 0.02
29. 14 ÷ 7000 = ?
14 ÷ 7000 = 2 ÷ 1000 = 0.002 → Answer: 0.002
30. 14 ÷ 70000 = ?
14 ÷ 70000 = 2 ÷ 10000 = 0.0002 → Answer: 0.0002
31. 10 ÷ 2 = ?
2 × 5 = 10 → Answer: 5
32. 10 ÷ 20 = ?
10 ÷ 20 = 1 ÷ 2 = 0.5 → Answer: 0.5
33. 10 ÷ 200 = ?
10 ÷ 200 = 1 ÷ 20 = 0.05 → Answer: 0.05
34. 10 ÷ 2000 = ?
10 ÷ 2000 = 1 ÷ 200 = 0.005 → Answer: 0.005
35. 10 ÷ 20000 = ?
10 ÷ 20000 = 1 ÷ 2000 = 0.0005 → Answer: 0.0005
36. 24 ÷ 2 = ?
2 × 12 = 24 → Answer: 12
37. 24 ÷ 20 = ?
24 ÷ 20 = 12 ÷ 10 = 1.2 → Answer: 1.2
38. 24 ÷ 200 = ?
24 ÷ 200 = 12 ÷ 100 = 0.12 → Answer: 0.12
39. 24 ÷ 2000 = ?
24 ÷ 2000 = 12 ÷ 1000 = 0.012 → Answer: 0.012
40. 24 ÷ 20000 = ?
24 ÷ 20000 = 12 ÷ 10000 = 0.0012 → Answer: 0.0012
41. 3 ÷ 1 = ?
Any number divided by 1 is itself → Answer: 3
42. 3 ÷ 10 = ?
Move decimal 1 place left → 0.3 → Answer: 0.3
43. 3 ÷ 100 = ?
Move decimal 2 places left → 0.03 → Answer: 0.03
44. 3 ÷ 1000 = ?
Move decimal 3 places left → 0.003 → Answer: 0.003
45. 3 ÷ 10000 = ?
Move decimal 4 places left → 0.0003 → Answer: 0.0003
46. 10 ÷ 2 = ? *(already done above — same as #31)* → 5
47. 10 ÷ 20 = ? *(same as #32)* → 0.5
48. 10 ÷ 200 = ? *(same as #33)* → 0.05
49. 10 ÷ 2000 = ? *(same as #34)* → 0.005
50. 10 ÷ 20000 = ? *(same as #35)* → 0.0005
Wait — looking back at the original image layout, it seems there are two columns with 25 problems each? But actually, counting again — let me recheck the structure.
Actually, from the image description, it looks like there are 5 rows per column and 5 columns? Wait no — let me recount properly.
Looking at the user's text version:
It shows:
Left side:
30÷5, 30÷50, 10÷500, 35÷5000, 30÷50000
Then 16÷8, 16÷80, 16÷800, 16÷8000, 16÷80000
Then 90÷9, 90÷90, 90÷900, 90÷9000, 90÷90000
Then 15÷5, 15÷50, 15÷500, 15÷5000, 15÷50000
Then 8÷2, 8÷20, 8÷200, 8÷2000, 8÷20000
Right side:
14÷7, 14÷70, 14÷700, 14÷7000, 14÷70000
Then 10÷2, 10÷20, 10÷200, 10÷2000, 10÷20000
Then 24÷2, 24÷20, 24÷200, 24÷2000, 24÷20000
Then 3÷1, 3÷10, 3÷100, 3÷1000, 3÷10000
Then 10÷2, 10÷20, 10÷200, 10÷2000, 10÷20000 ← this last group repeats the earlier one? That might be a typo in the image or transcription.
But since we’re solving what’s given, I’ll assume all 50 problems are to be solved as listed.
However, notice that “10 ÷ 2” etc. appear twice — once in the middle right and once at the bottom right. We’ll solve them both as written.
So total answers:
Let me list them in order as they appear in the image (left to right, top to bottom):
Row 1:
30÷5 = 6
14÷7 = 2
30÷50 = 0.6
14÷70 = 0.2
10÷500 = 0.02
14÷700 = 0.02
35÷5000 = 0.007
14÷7000 = 0.002
30÷50000 = 0.0006
14÷70000 = 0.0002
Row 2:
16÷8 = 2
10÷2 = 5
16÷80 = 0.2
10÷20 = 0.5
16÷800 = 0.02
10÷200 = 0.05
16÷8000 = 0.002
10÷2000 = 0.005
16÷80000 = 0.0002
10÷20000 = 0.0005
Row 3:
90÷9 = 10
24÷2 = 12
90÷90 = 1
24÷20 = 1.2
90÷900 = 0.1
24÷200 = 0.12
90÷9000 = 0.01
24÷2000 = 0.012
90÷90000 = 0.001
24÷20000 = 0.0012
Row 4:
15÷5 = 3
3÷1 = 3
15÷50 = 0.3
3÷10 = 0.3
15÷500 = 0.03
3÷100 = 0.03
15÷5000 = 0.003
3÷1000 = 0.003
15÷50000 = 0.0003
3÷10000 = 0.0003
Row 5:
8÷2 = 4
10÷2 = 5
8÷20 = 0.4
10÷20 = 0.5
8÷200 = 0.04
10÷200 = 0.05
8÷2000 = 0.004
10÷2000 = 0.005
8÷20000 = 0.0004
10÷20000 = 0.0005
All calculations verified.
Final Answer:
6, 2, 0.6, 0.2, 0.02, 0.02, 0.007, 0.002, 0.0006, 0.0002,
2, 5, 0.2, 0.5, 0.02, 0.05, 0.002, 0.005, 0.0002, 0.0005,
10, 12, 1, 1.2, 0.1, 0.12, 0.01, 0.012, 0.001, 0.0012,
3, 3, 0.3, 0.3, 0.03, 0.03, 0.003, 0.003, 0.0003, 0.0003,
4, 5, 0.4, 0.5, 0.04, 0.05, 0.004, 0.005, 0.0004, 0.0005
Parent Tip: Review the logic above to help your child master the concept of powers of 10 worksheets.