What digit is in a place with a value that is 100 times greater than the 5 in 7,326.305?  Explain how you know.

In the number **7,326.305**, the digit **5** is in the thousandths place. This means that its value is \( 5 \times \frac{1}{1000} \), or \( 5 \times 10^{-3} \).

We are asked to find the digit in a place with a value that is **100 times greater** than this. 

### Steps to solve:
1. **Determine the place value of the 5**:
   - The 5 is in the thousandths place, meaning its place value is \( 10^{-3} \) (or 0.001).
   
2. **Multiply this place value by 100**:
   - \( 100 \times 10^{-3} = 10^{-1} \), which is equivalent to the **tenths place**.

3. **Identify the digit in the tenths place**:
   - The digit in the tenths place of **7,326.305** is **3**.

Thus, the digit in the place with a value that is 100 times greater than the 5 is **3**.

### Conclusion:
The digit is **3**, because it is in the tenths place, which has a place value 100 times greater than the thousandths place.

Do you have any questions, or would you like more details?

Here are 5 related questions:
1. What is the place value of the digit 7 in 7,326.305?
2. How would the value of the 5 change if it were in the hundredths place?
3. What is the place value of the digit 2 in the number?
4. How does multiplying or dividing place values by powers of 10 affect the digit?
5. How do we find the place value of digits in large numbers with multiple decimal places?

**Tip**: Place values to the left of the decimal increase by powers of 10, while those to the right decrease by powers of 10.

What digit is in a place with a value that is 100 times greater than the 5 in 7,326.305? Explain how you know.

Explore how to find the digit in a place with a value 100 times greater than the thousandths place in the number 7,326.305. This problem demonstrates key concepts in place value and powers of 10, suitable for students in Grades 4-6.

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