The correct option is
B 82.167 8
For option A:
Let’s round off 82.162 to its nearest hundredths.
The digit at the thousandths place is 2, which is less than 5. So, the decimal will be rounded down.
Replace the digits at lower places by zero.
So, 82.162 rounded to the nearest hundredths is 82.16.
Similarly, for option B:
So, 82.167 rounded to the nearest tenth is 82.17.
Similarly, for option C: 82.009 rounded to the nearest hundredths is 82.01
Comparing the rounded decimals.
82.
17 > 82.
16 > 82.0
1
Hence, 82.167 is the greatest number out of the given options when rounded off to its nearest hundredths.