Place value of a digit decreases by times as it moves place by place from left to right.

Options

A. `100`
B. `(1)/(10)`
C. `10`
D. `1000`

Answer

To solve the question regarding how the place value of a digit decreases as it moves from left to right, we can break it down step by step.

### Step-by-Step Solution:

1. **Understanding Place Value**:
- Each digit in a number has a specific place value depending on its position. For example, in the number 654321, the place values from left to right are:
- 6 (hundred-thousands)
- 5 (ten-thousands)
- 4 (thousands)
- 3 (hundreds)
- 2 (tens)
- 1 (units)

2. **Identifying the Movement**:
- When we talk about moving from left to right, we are moving from a higher place value to a lower place value. For instance, if we take the digit 4 in the number 654321, its place value is 4000 (thousands).

3. **Calculating the Decrease in Place Value**:
- As we move one place to the right, the place value of the digit decreases by a factor of 10.
- For example, moving from 4 (thousands) to 3 (hundreds), the place value changes from 4000 to 300.

4. **General Rule**:
- The general rule is that the place value decreases by 10 times for each move from left to right.
- Therefore, if you start with a place value of \( x \), after moving one place to the right, the new place value will be \( \frac{x}{10} \).

5. **Conclusion**:
- Thus, we can conclude that the place value of a digit decreases by **10 times** as it moves place by place from left to right.