8.957 rounded to the nearest tenth is simple; it becomes 9, because you cannot round the .9 to something larger, and the .05 after it helps you figure out the tenth you need to solve (To figure out tenths, look at the hundredth. Ex: 6.78 would be rounded to 6.8, because the 8 is closer to 10, then 4 or 2 would be.) And if you were to round .9 to .0, it just wouldn't work out.
To dumb it down:
8.957 = 9
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!
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
28.6