0.7625 lies between

Options

A. 0.77 and 0.78
B. 0.76 and 0.761
C. 0.76 and 0.763
D. 0.7 and 0.76

Answer

To determine the range in which the number 0.7625 lies, we will analyze the given options step by step.

### Step-by-Step Solution:

1. **Identify the number**: The number we are analyzing is 0.7625.

2. **Check the first option**: The first option is 0.77 and 0.78.
- Since 0.7625 is less than 0.77, this option is incorrect.

3. **Check the second option**: The second option is 0.76 and 0.761.
- When we compare, 0.7625 is greater than 0.761, so this option is also incorrect.

4. **Check the third option**: The third option is 0.76 and 0.763.
- We can see that 0.7625 lies between 0.76 and 0.763 because:
- 0.760 < 0.7625 < 0.763
- Therefore, this option is correct.

5. **Check the fourth option**: The fourth option is 0.7 and 0.76.
- Since 0.7625 is greater than 0.76, this option is incorrect.

### Conclusion:
The number 0.7625 lies between **0.76 and 0.763**.