Question

The Respective Number Of Significant Figures For The Numbers $23.023,0.0003$And $2.1\times {10}^{-3}$ Are ________

Answer 1

According to the question,

$Significantfiguresorsignificantdigits$are used to establish the number which is presented in the form of digits. These digits carry a meaningful representation of numbers. . We can identify the number of significant digits by counting all the values starting from the $1stnon-zerodigitlocatedontheleft.$ For example, $12.45$has $four$significant digits.

The number $23.023$has $five$significant digits.

For the number, $0.0003,$the number of non-zero digits from the left is only one. Hence, $0.0003$has $one$significant digits.

We can write, $2.1\times {10}^{-3}$$=\frac{2.1}{1000}=0.0021$

For the number, $0.0021$the number of non-zero digits from the left is only one. Hence, $0.0021$has $two$significant digits.

Hence, the respective significant figures for the numbers $23.023,0.0003$and $2.1\times {10}^{-3}$ are $five$, $one$and $two$ respectively.