To round to the nearest tenths the hundredths digit (the digit after the tenths digit) decides whether to round up or down. the hundredths digit is 1, so round down 8.712 → 8.7 to the nearest tenth.

It would round up to 10.0 to the nearest tenths, as the .96 will round up to 0, pushing the first 9 to 10. So in this instance, rounding to the nearest tenth and the nearest ten will have the same result.