150.7964473723100754 to 2 decimal places]

This is a perfectly valid question.   

150.7964473723100754   correct to 2 decimal places

First keep only 3 places

=150.796

now if the last digit is 5 or more, which is is because it is 6 then round the second last one up by one

that is the 2nd decimal place goes up from 9 to 10 .... oh dear that is a problem.

So you will have to put thw .78 up to .80

so the answer is 

= 150.80