To the nearest tenth is rounding to the first digit after the decimal point. The digit to its right is used to decide whether to round up or down: if it is 0-4 it rounds down, otherwise it is 5-9 and rounds up:
With 14.13 the digit to the right of the tenths digit is 3, so it rounds down: 14.13 → 14.1
It is then 56.5 when rounded to the nearest tenth
It is 0.8 when rounded to the nearest tenth
10775.9
2.7
28.6
1400
Well, isn't that a happy little number! When we round 5.167 to the nearest tenth, we look at the digit in the hundredths place, which is 6. Since 6 is greater than 5, we round up the tenths place, making it 5.2. And just like that, we have a beautifully rounded number!
65.6
It is then 52.8 when rounded to the nearest tenth
It is then 56.5 when rounded to the nearest tenth
It is 232.4 when rounded to the nearest tenth
It is then 20.2 when rounded to the nearest tenth
It is 0.8 when rounded to the nearest tenth
4.4
10775.9
2.7
54.4