Calculate the answer. Express it in scientific notation. All answers should have the correct number of significant figures. 4.9 xx 10^(-2) cdot 9.80 xx 10^2 = ?

Jun 13, 2018

4.8 × 10^1

Explanation:

=> (4.9 × 10^-2) × (9.80 × 10^2)

=> 4.9 × 9.80 × 10^(-2 + 2)

=> 48.02 × 10^0

$\implies 48.02$

=> 4.802 × 10^1

The rule says "answer should have same significant figures as the least significant number in the problem." In our problem $4.9$ is least significant number with $2$ significant figures. Therefore our answer should have $2$ significant figures. So,

=> 4.8 × 10^1