To round the number 314.682 to the nearest tenth, follow these steps:
1. Identify the digit in the tenths place, which is the first digit to the right of the decimal point. In the number 314.682, the tenths place is occupied by the digit 6.
2. Look at the digit in the hundredths place, which is the second digit to the right of the decimal point. In this case, the hundredths place is occupied by the digit 8.
3. Determine whether to round up or down based on the digit in the hundredths place:
- If the digit in the hundredths place is 5 or greater, you round the digit in the tenths place up by one.
- If the digit in the hundredths place is less than 5, you do not change the digit in the tenths place.
4. Since the digit in the hundredths place is 8, which is greater than 5, you round the digit 6 in the tenths place up by one.
5. The rounded number therefore becomes 314.7.
Therefore, the solution is [tex]\( 314.7 \)[/tex].
