Question

divide. write your answer in scientific notation.
$\frac{8.2\times10^{9}}{0.5\times10^{7}}$

Explanation:

Step1: Divide the coefficients

Divide 8.2 by 0.5: $\frac{8.2}{0.5}=16.4$

Step2: Divide the powers of 10

Use the rule $\frac{10^{a}}{10^{b}}=10^{a - b}$, so $\frac{10^{9}}{10^{7}}=10^{9 - 7}=10^{2}$

Step3: Combine the results

$16.4\times10^{2}$ is not in proper scientific - notation. Rewrite 16.4 as $1.64\times10^{1}$, then $16.4\times10^{2}=(1.64\times10^{1})\times10^{2}=1.64\times10^{1 + 2}=1.64\times10^{3}$

Answer:

$1.64\times10^{3}$