Round 9.4349746287 to 4 decimal places.
The correct answer and explanation is:
The number 9.4349746287 rounded to four decimal places is 9.4350.
Explanation:
When rounding a number to a certain number of decimal places, the rule is simple. You look at the digit immediately after the desired decimal place. In this case, we want to round to four decimal places, so the fourth decimal place is the last number we want to keep.
Here’s the process step-by-step:
- Identify the digit in the fourth decimal place: In the number 9.4349746287, the digit in the fourth decimal place is 9 (this is the last digit we want to keep).
- Look at the digit in the fifth decimal place: The digit in the fifth decimal place is 7.
- Apply the rounding rule:
- If the digit in the next decimal place (in this case, the fifth decimal place) is 5 or greater, we round up the fourth decimal place by one.
- Since the digit in the fifth decimal place is 7 (which is greater than 5), we round up the fourth decimal place (9) by 1, making it 10.
- Adjust the result: After rounding the fourth decimal place, we get 9.435. Since we are rounding to four decimal places, the result will be 9.4350, with a trailing zero added to ensure it is expressed as a number with four decimal places.
Thus, the final rounded value of 9.4349746287 to four decimal places is 9.4350. This process ensures that the number is as accurate as possible within the given level of precision.