Round 9.4349746287 to 4 decimal places.
The correct answer and explanation is:
The correct answer is 9.4350.
Explanation:
To round a number to four decimal places, follow these steps:
- Identify the digit in the fourth decimal place: In the number 9.4349746287, the fourth decimal place is the digit 9.
- Look at the digit immediately to the right of the fourth decimal place: This is the 7 in the fifth decimal place.
- Determine whether to round up or keep the digit the same:
- If the digit in the place immediately to the right of the one you’re rounding to (in this case, the fifth decimal place) is 5 or greater, you round the fourth decimal place up by 1.
- If the digit is less than 5, you leave the fourth decimal place unchanged.
- Since the fifth decimal place is 7 (which is greater than 5), you round the fourth decimal place up. Therefore, 9 becomes 10, which means the number rounds to 9.4350.
- Adjust for any carry-over: When rounding up, if the number in the place you are rounding to increases by 1, you may need to adjust earlier digits as well. However, in this case, the rounding does not affect the integer or any of the other digits beyond the decimal.
Thus, the number 9.4349746287, rounded to four decimal places, is 9.4350.
Rounding is useful in various contexts, especially in scientific calculations, financial applications, and when trying to simplify data for easier interpretation or reporting. It helps reduce precision to match the required level of detail while maintaining reasonable accuracy.