The place value of 5 in 0.04532 is

Options

A. 5
B. `5/(100)`
C. `5/(1000)`
D. `5/(10000)`

Answer

To find the place value of 5 in the decimal number 0.04532, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Position of the Digit**:
The number given is 0.04532. We need to locate the digit 5 in this decimal.

2. **Count the Decimal Places**:
In the number 0.04532:
- The first digit after the decimal (0) is in the tenths place.
- The second digit (4) is in the hundredths place.
- The third digit (5) is in the thousandths place.

3. **Determine the Place Value**:
Since the digit 5 is in the thousandths place, its place value can be calculated as:
\[ \text{Place Value} = 5 \times \frac{1}{1000} \]

4. **Calculate the Place Value**:
\[ \text{Place Value} = \frac{5}{1000} = 0.005 \]

5. **Conclusion**:
Therefore, the place value of 5 in the decimal 0.04532 is \(\frac{5}{1000}\) or 0.005.

### Final Answer:
The place value of 5 in 0.04532 is \(\frac{5}{1000}\).

---