Answer
$8.23\times10^{3}$
Work Step by Step
$(3.29\times10^{4})(0.2501)=(32900)(0.2501)=8228.29$
For mulltiplication, the factor with the least number of significant figures determines the significant figures in the result. In this case that number is 3 so round the result to 3 significant digits.
$8228.29\approx8230$
Rewrite 8230 in scientific notation. To express 8230 as a number between 1 and 10 the decimal is moved 3 places to the left so the exponent is 3.
$8230=8.23\times10^{3}$
