Multiplying & Dividing by Powers of Ten (B) | PDF printable Number ... - Free Printable
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Step-by-step solution for: Multiplying & Dividing by Powers of Ten (B) | PDF printable Number ...
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Step-by-step solution for: Multiplying & Dividing by Powers of Ten (B) | PDF printable Number ...
Let's solve this step-by-step.
---
We are multiplying numbers by 10, 100, or 1000. The rule is:
- Multiplying by 10: Move the decimal point 1 place to the right.
- Multiplying by 100: Move the decimal point 2 places to the right.
- Multiplying by 1000: Move the decimal point 3 places to the right.
---
#### First Row: × 10
| × | 2 | 15 | 38 | 720 |
|---|---|----|----|-----|
| 10 | 20 | 150 | 380 | 7200 |
> Multiply each number by 10:
> - 2 × 10 = 20
> - 15 × 10 = 150
> - 38 × 10 = 380
> - 720 × 10 = 7200
---
#### Second Row: × 10
| × | 4 | 4.1 | 4.8 | 4.5 |
|---|---|-----|-----|-----|
| 10 | 40 | 41 | 48 | 45 |
> - 4 × 10 = 40
> - 4.1 × 10 = 41 (move decimal one place right)
> - 4.8 × 10 = 48
> - 4.5 × 10 = 45
---
#### Third Row: × 10
| × | 12 | 12.7 | 12.1 | 12.15 |
|---|----|------|------|-------|
| 10 | 120 | 127 | 121 | 121.5 |
> - 12 × 10 = 120
> - 12.7 × 10 = 127
> - 12.1 × 10 = 121
> - 12.15 × 10 = 121.5
---
#### Fourth Row: × 100
| × | 3 | 17 | 42 | 514 |
|---|---|----|----|-----|
| 100 | 300 | 1700 | 4200 | 51400 |
> - 3 × 100 = 300
> - 17 × 100 = 1700
> - 42 × 100 = 4200
> - 514 × 100 = 51400
---
#### Fifth Row: × 100
| × | 2 | 2.5 | 2.9 | 2.7 |
|---|---|-----|-----|-----|
| 100 | 200 | 250 | 290 | 270 |
> - 2 × 100 = 200
> - 2.5 × 100 = 250
> - 2.9 × 100 = 290
> - 2.7 × 100 = 270
---
#### Sixth Row: × 100
| × | 81 | 8.1 | 8.14 | 8.145 |
|---|----|-----|------|-------|
| 100 | 8100 | 810 | 814 | 814.5 |
> - 81 × 100 = 8100
> - 8.1 × 100 = 810
> - 8.14 × 100 = 814
> - 8.145 × 100 = 814.5
---
#### Seventh Row: × 1000
| × | 8 | 19 | 58 | 645 |
|---|---|----|----|-----|
| 1000 | 8000 | 19000 | 58000 | 645000 |
> - 8 × 1000 = 8000
> - 19 × 1000 = 19000
> - 58 × 1000 = 58000
> - 645 × 1000 = 645000
---
#### Eighth Row: × 1000
| × | 9 | 9.4 | 9.5 | 9.9 |
|---|---|-----|-----|-----|
| 1000 | 9000 | 9400 | 9500 | 9900 |
> - 9 × 1000 = 9000
> - 9.4 × 1000 = 9400
> - 9.5 × 1000 = 9500
> - 9.9 × 1000 = 9900
---
#### Ninth Row: × 1000
| × | 7 | 7.6 | 7.62 | 720 |
|---|---|-----|------|-----|
| 1000 | 7000 | 7600 | 7620 | 720000 |
> - 7 × 1000 = 7000
> - 7.6 × 1000 = 7600
> - 7.62 × 1000 = 7620
> - 720 × 1000 = 720000
---
| × | 2 | 15 | 38 | 720 |
|---|---|----|----|-----|
| 10 | 20 | 150 | 380 | 7200 |
| × | 4 | 4.1 | 4.8 | 4.5 |
|---|---|-----|-----|-----|
| 10 | 40 | 41 | 48 | 45 |
| × | 12 | 12.7 | 12.1 | 12.15 |
|---|----|------|------|-------|
| 10 | 120 | 127 | 121 | 121.5 |
| × | 3 | 17 | 42 | 514 |
|---|---|----|----|-----|
| 100 | 300 | 1700 | 4200 | 51400 |
| × | 2 | 2.5 | 2.9 | 2.7 |
|---|---|-----|-----|-----|
| 100 | 200 | 250 | 290 | 270 |
| × | 81 | 8.1 | 8.14 | 8.145 |
|---|----|-----|------|-------|
| 100 | 8100 | 810 | 814 | 814.5 |
| × | 8 | 19 | 58 | 645 |
|---|---|----|----|-----|
| 1000 | 8000 | 19000 | 58000 | 645000 |
| × | 9 | 9.4 | 9.5 | 9.9 |
|---|---|-----|-----|-----|
| 1000 | 9000 | 9400 | 9500 | 9900 |
| × | 7 | 7.6 | 7.62 | 720 |
|---|---|-----|------|-----|
| 1000 | 7000 | 7600 | 7620 | 720000 |
---
Now we divide numbers by 10, 100, or 1000.
Rule:
- Divide by 10: Move decimal 1 place left
- Divide by 100: Move decimal 2 places left
- Divide by 1000: Move decimal 3 places left
---
1) 60 ÷ 10 = 6.0 → 6
2) 70 ÷ 10 = 7.0 → 7
3) 3 ÷ 10 = 0.3
4) 2 ÷ 10 = 0.2
5) 46 ÷ 10 = 4.6
6) 4000 ÷ 100 = 40
7) 360 ÷ 100 = 3.6
8) 209 ÷ 100 = 2.09
9) 58 ÷ 100 = 0.58
10) 92 ÷ 100 = 0.92
11) 5000 ÷ 1000 = 5
12) 7000 ÷ 1000 = 7
13) 48000 ÷ 1000 = 48
14) 2100 ÷ 1000 = 2.1
15) 6900 ÷ 1000 = 6.9
---
1) 6
2) 7
3) 0.3
4) 0.2
5) 4.6
6) 40
7) 3.6
8) 2.09
9) 0.58
10) 0.92
11) 5
12) 7
13) 48
14) 2.1
15) 6.9
---
#### Section A:
All entries filled as shown above with multiplication by 10, 100, or 1000.
#### Section B:
1) 6
2) 7
3) 0.3
4) 0.2
5) 4.6
6) 40
7) 3.6
8) 2.09
9) 0.58
10) 0.92
11) 5
12) 7
13) 48
14) 2.1
15) 6.9
✔ All problems solved using movement of decimal points based on powers of ten.
Let me know if you'd like a printable version or explanation for any specific problem!
---
Section A: Multiplying by Powers of Ten
We are multiplying numbers by 10, 100, or 1000. The rule is:
- Multiplying by 10: Move the decimal point 1 place to the right.
- Multiplying by 100: Move the decimal point 2 places to the right.
- Multiplying by 1000: Move the decimal point 3 places to the right.
---
#### First Row: × 10
| × | 2 | 15 | 38 | 720 |
|---|---|----|----|-----|
| 10 | 20 | 150 | 380 | 7200 |
> Multiply each number by 10:
> - 2 × 10 = 20
> - 15 × 10 = 150
> - 38 × 10 = 380
> - 720 × 10 = 7200
---
#### Second Row: × 10
| × | 4 | 4.1 | 4.8 | 4.5 |
|---|---|-----|-----|-----|
| 10 | 40 | 41 | 48 | 45 |
> - 4 × 10 = 40
> - 4.1 × 10 = 41 (move decimal one place right)
> - 4.8 × 10 = 48
> - 4.5 × 10 = 45
---
#### Third Row: × 10
| × | 12 | 12.7 | 12.1 | 12.15 |
|---|----|------|------|-------|
| 10 | 120 | 127 | 121 | 121.5 |
> - 12 × 10 = 120
> - 12.7 × 10 = 127
> - 12.1 × 10 = 121
> - 12.15 × 10 = 121.5
---
#### Fourth Row: × 100
| × | 3 | 17 | 42 | 514 |
|---|---|----|----|-----|
| 100 | 300 | 1700 | 4200 | 51400 |
> - 3 × 100 = 300
> - 17 × 100 = 1700
> - 42 × 100 = 4200
> - 514 × 100 = 51400
---
#### Fifth Row: × 100
| × | 2 | 2.5 | 2.9 | 2.7 |
|---|---|-----|-----|-----|
| 100 | 200 | 250 | 290 | 270 |
> - 2 × 100 = 200
> - 2.5 × 100 = 250
> - 2.9 × 100 = 290
> - 2.7 × 100 = 270
---
#### Sixth Row: × 100
| × | 81 | 8.1 | 8.14 | 8.145 |
|---|----|-----|------|-------|
| 100 | 8100 | 810 | 814 | 814.5 |
> - 81 × 100 = 8100
> - 8.1 × 100 = 810
> - 8.14 × 100 = 814
> - 8.145 × 100 = 814.5
---
#### Seventh Row: × 1000
| × | 8 | 19 | 58 | 645 |
|---|---|----|----|-----|
| 1000 | 8000 | 19000 | 58000 | 645000 |
> - 8 × 1000 = 8000
> - 19 × 1000 = 19000
> - 58 × 1000 = 58000
> - 645 × 1000 = 645000
---
#### Eighth Row: × 1000
| × | 9 | 9.4 | 9.5 | 9.9 |
|---|---|-----|-----|-----|
| 1000 | 9000 | 9400 | 9500 | 9900 |
> - 9 × 1000 = 9000
> - 9.4 × 1000 = 9400
> - 9.5 × 1000 = 9500
> - 9.9 × 1000 = 9900
---
#### Ninth Row: × 1000
| × | 7 | 7.6 | 7.62 | 720 |
|---|---|-----|------|-----|
| 1000 | 7000 | 7600 | 7620 | 720000 |
> - 7 × 1000 = 7000
> - 7.6 × 1000 = 7600
> - 7.62 × 1000 = 7620
> - 720 × 1000 = 720000
---
✔ Section A Summary Table (Completed)
| × | 2 | 15 | 38 | 720 |
|---|---|----|----|-----|
| 10 | 20 | 150 | 380 | 7200 |
| × | 4 | 4.1 | 4.8 | 4.5 |
|---|---|-----|-----|-----|
| 10 | 40 | 41 | 48 | 45 |
| × | 12 | 12.7 | 12.1 | 12.15 |
|---|----|------|------|-------|
| 10 | 120 | 127 | 121 | 121.5 |
| × | 3 | 17 | 42 | 514 |
|---|---|----|----|-----|
| 100 | 300 | 1700 | 4200 | 51400 |
| × | 2 | 2.5 | 2.9 | 2.7 |
|---|---|-----|-----|-----|
| 100 | 200 | 250 | 290 | 270 |
| × | 81 | 8.1 | 8.14 | 8.145 |
|---|----|-----|------|-------|
| 100 | 8100 | 810 | 814 | 814.5 |
| × | 8 | 19 | 58 | 645 |
|---|---|----|----|-----|
| 1000 | 8000 | 19000 | 58000 | 645000 |
| × | 9 | 9.4 | 9.5 | 9.9 |
|---|---|-----|-----|-----|
| 1000 | 9000 | 9400 | 9500 | 9900 |
| × | 7 | 7.6 | 7.62 | 720 |
|---|---|-----|------|-----|
| 1000 | 7000 | 7600 | 7620 | 720000 |
---
Section B: Dividing by Powers of Ten
Now we divide numbers by 10, 100, or 1000.
Rule:
- Divide by 10: Move decimal 1 place left
- Divide by 100: Move decimal 2 places left
- Divide by 1000: Move decimal 3 places left
---
1) 60 ÷ 10 = 6.0 → 6
2) 70 ÷ 10 = 7.0 → 7
3) 3 ÷ 10 = 0.3
4) 2 ÷ 10 = 0.2
5) 46 ÷ 10 = 4.6
6) 4000 ÷ 100 = 40
7) 360 ÷ 100 = 3.6
8) 209 ÷ 100 = 2.09
9) 58 ÷ 100 = 0.58
10) 92 ÷ 100 = 0.92
11) 5000 ÷ 1000 = 5
12) 7000 ÷ 1000 = 7
13) 48000 ÷ 1000 = 48
14) 2100 ÷ 1000 = 2.1
15) 6900 ÷ 1000 = 6.9
---
✔ Section B Answers
1) 6
2) 7
3) 0.3
4) 0.2
5) 4.6
6) 40
7) 3.6
8) 2.09
9) 0.58
10) 0.92
11) 5
12) 7
13) 48
14) 2.1
15) 6.9
---
🟩 Final Answer Summary:
#### Section A:
All entries filled as shown above with multiplication by 10, 100, or 1000.
#### Section B:
1) 6
2) 7
3) 0.3
4) 0.2
5) 4.6
6) 40
7) 3.6
8) 2.09
9) 0.58
10) 0.92
11) 5
12) 7
13) 48
14) 2.1
15) 6.9
✔ All problems solved using movement of decimal points based on powers of ten.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of power of 10 worksheet 5th grade.
