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Answer :
Sure! Let's complete the given table step-by-step by performing divisions for each number by 0.1 and 0.01.
### Step-by-step Solution:
1. Dividing 10.7 by 0.1:
- When you divide 10.7 by 0.1, you are essentially multiplying by 10.
- This moves the decimal point one place to the right.
- Result: 10.7 ÷ 0.1 = 107.0
2. Dividing 10.7 by 0.01:
- When you divide 10.7 by 0.01, you are multiplying by 100.
- This moves the decimal point two places to the right.
- Result: 10.7 ÷ 0.01 = 1070.0
3. Dividing 0.8 by 0.1:
- Dividing by 0.1 is the same as multiplying by 10.
- Move the decimal point one place to the right.
- Result: 0.8 ÷ 0.1 = 8.0
4. Dividing 0.8 by 0.01:
- Dividing by 0.01 is the same as multiplying by 100.
- Move the decimal point two places to the right.
- Result: 0.8 ÷ 0.01 = 80.0
5. Dividing 39.1 by 0.1:
- Multiplying by 10 moves the decimal point one place to the right.
- Result: 39.1 ÷ 0.1 = 391.0
6. Dividing 39.1 by 0.01:
- Multiplying by 100 moves the decimal point two places to the right.
- Result: 39.1 ÷ 0.01 = 3910.0
7. Dividing 91.6 by 0.1:
- Dividing by 0.1 or multiplying by 10 moves the decimal point one place to the right.
- Result: 91.6 ÷ 0.1 = 916.0
8. Dividing 91.6 by 0.01:
- Dividing by 0.01 or multiplying by 100 moves the decimal point two places to the right.
- Result: 91.6 ÷ 0.01 = 9160.0
### Completed Table:
| ÷ | 0.1 | 0.01 |
|----------|-------|-------|
| 10.7 | 107.0 | 1070.0|
| 0.8 | 8.0 | 80.0 |
| 39.1 | 391.0 | 3910.0|
| 91.6 | 916.0 | 9160.0|
There you have it, the completed table based on the division operations!
### Step-by-step Solution:
1. Dividing 10.7 by 0.1:
- When you divide 10.7 by 0.1, you are essentially multiplying by 10.
- This moves the decimal point one place to the right.
- Result: 10.7 ÷ 0.1 = 107.0
2. Dividing 10.7 by 0.01:
- When you divide 10.7 by 0.01, you are multiplying by 100.
- This moves the decimal point two places to the right.
- Result: 10.7 ÷ 0.01 = 1070.0
3. Dividing 0.8 by 0.1:
- Dividing by 0.1 is the same as multiplying by 10.
- Move the decimal point one place to the right.
- Result: 0.8 ÷ 0.1 = 8.0
4. Dividing 0.8 by 0.01:
- Dividing by 0.01 is the same as multiplying by 100.
- Move the decimal point two places to the right.
- Result: 0.8 ÷ 0.01 = 80.0
5. Dividing 39.1 by 0.1:
- Multiplying by 10 moves the decimal point one place to the right.
- Result: 39.1 ÷ 0.1 = 391.0
6. Dividing 39.1 by 0.01:
- Multiplying by 100 moves the decimal point two places to the right.
- Result: 39.1 ÷ 0.01 = 3910.0
7. Dividing 91.6 by 0.1:
- Dividing by 0.1 or multiplying by 10 moves the decimal point one place to the right.
- Result: 91.6 ÷ 0.1 = 916.0
8. Dividing 91.6 by 0.01:
- Dividing by 0.01 or multiplying by 100 moves the decimal point two places to the right.
- Result: 91.6 ÷ 0.01 = 9160.0
### Completed Table:
| ÷ | 0.1 | 0.01 |
|----------|-------|-------|
| 10.7 | 107.0 | 1070.0|
| 0.8 | 8.0 | 80.0 |
| 39.1 | 391.0 | 3910.0|
| 91.6 | 916.0 | 9160.0|
There you have it, the completed table based on the division operations!
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