The place value of '0' in 273045 is

Question

Accepted Answer

The place value of a digit in a number is determined by its position within the number. In the number 273045, we need to determine the place value of the digit '0'.

1. **Explanation for Option 2 (Correct Answer):**
   - The digit '0' is located in the hundreds place of the number 273045. The place value of a digit is calculated by multiplying the digit by the value of its position. Since the digit is '0', regardless of its position, its place value is 0. Therefore, the correct answer is Option 2, which states that the place value of '0' is 0.

2. **Explanation for why other options are incorrect:**
   - **Option 1 (1000):** This option suggests that the place value of '0' is 1000. However, this would only be true if the digit '0' were in the thousands place. In 273045, the digit '0' is in the hundreds place, not the thousands place, so this option is incorrect.
   - **Option 3 (100):** This option suggests that the place value of '0' is 100. While '0' is indeed in the hundreds place, the place value of any digit '0' is always 0, regardless of its position. Therefore, this option is incorrect.
   - **Option 4 (10):** This option suggests that the place value of '0' is 10. This would only be applicable if the digit '0' were in the tens place. In 273045, the digit '0' is in the hundreds place, so this option is incorrect.

In conclusion, the place value of '0' in any position is always 0, which is why Option 2 is the correct answer.