The Correct Answer and Explanation is:
To round the number 9.688566075 to six decimal places, you first need to identify the sixth decimal place and look at the next digit (the seventh decimal place) to determine if rounding is necessary.
In the number 9.688566075, the digits after the decimal point are:
- 6 (first decimal place)
- 8 (second decimal place)
- 8 (third decimal place)
- 5 (fourth decimal place)
- 6 (fifth decimal place)
- 6 (sixth decimal place)
- 0 (seventh decimal place)
Now, to round to six decimal places:
- The digit in the sixth decimal place is 6.
- The digit in the seventh decimal place is 0.
Since the digit in the seventh decimal place is less than 5, you do not round up the sixth decimal place. Therefore, the number rounded to six decimal places is 9.688566.
Explanation:
Rounding involves truncating the number at the desired decimal place and adjusting based on the digit immediately after. If the next digit is 5 or greater, the previous digit is rounded up. If it’s less than 5, the previous digit remains unchanged.
In this case, the digit after the sixth place (0) did not require rounding up, so the number stays as 9.688566.
