The tenths, on either side of the number are:
15.0, which is 15.06 - 15.0 = 0.06 away
and
15.1, which is 15.1 - 15.06 = 0.04 away.
Since 0.04 < 0.06, the second is nearer. So, 15.06 rounded to the nearest tenth is 15.1
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To round 18.8 to the tenths place, you need to look at the digit immediately to the right of the tenths place, which is the hundredths place. Since the hundredths place digit is 8, which is equal to or greater than 5, you round up the tenths place digit. Therefore, 18.8 rounded to the tenths place is 18.9.
To round the tenths you look at the hundredth column, which in this case is a 7. Since 7 is greater than 5 we round up, but since 9 can't round up anymore we have to round the ones column. Thus rounding 23.971 by the tenths = 24.0 (The zero is necessary to show that you've rounded the number by the tenths and not the ones.)
5.0
0.9
40.08