The way to get the answer is as follows. Write down the number. Now write 0.05 below it. The rationale is as follows. It is the tenth place you want the number rounded to, so you write a 5 below the hundredths position and zero everywhere else as shwon below and add the numbers. From the result truncate everything after the tenths position giving you 32.1 as the answer.
32.09
00.05
______
32.14
______
32.09 rounds to 32.1
It is 232.4 when rounded to the nearest tenth
It is then 20.2 when rounded to the nearest tenth
10.5
33.8
79.4
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!
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
28.6
965.4