Write $0.046875$ correct to 2 significant figures.

Hint: In the given decimal number $0.046875$ using the rule for finding significant figures , the zero before a non zero digit is not significant so the other two non zero digits will be the 2 significant figures.

Complete step-by-step answer:
The given number is $0.046875$.
By the rules of finding significant figures, the zeros before a non zero digit is non significant.
So here the zero after the decimal point is non significant .
So the next two non zero digits are the two significant figures and here we have $0.0468$ and since 8>5
The digit 6 can be round off to 7
So the number can be written as $0.047$

Note: Others rules for significant figures
1.Non-zero digits are always significant
2.Any zeros between two significant digits are significant
3.A final zero or trailing zeros in the decimal portion only are significant