Study the following statements carefully and select the correct option.
Statement-1: Place value of a digit increases by 10 times as the digit moves from the right to the left place by place.
Statement-2: Any number of zeroes placed to the right of the decimal part of a number does not change the value of the number.

Options

A. Both Statement-1 and Statement-2 are true.
B. Statement-1 is true but Statement-2 is false.
C. Statement-1 is false but Statement-2 is true.
D. Both Statement-1 and Statement-2 are false.

Answer

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- The statement claims that the place value of a digit increases by 10 times as it moves from the right to the left, place by place.
- For example, in the number 345, the digit 5 is in the ones place (1), the digit 4 is in the tens place (10), and the digit 3 is in the hundreds place (100).
- If we move the digit 5 to the left, it becomes 4 (tens place), and its value increases from 5 to 50 (5 × 10). Similarly, moving 4 to the left would increase its value from 4 to 40 (4 × 10).

**Conclusion**: Statement 1 is correct.

2. **Understanding Statement 2**:
- The statement asserts that any number of zeros placed to the right of the decimal part of a number does not change the value of the number.
- For example, the number 15.0 is equal to 15.00, which is also equal to 15.000. The zeros after the decimal point do not affect the value of the number.
- These zeros are considered insignificant because they do not change the value of the number.

**Conclusion**: Statement 2 is also correct.

3. **Final Decision**:
- Since both statements are true, the correct option is that both Statement 1 and Statement 2 are true.