How to simplify 6.2 times 10^3 + 4.5 times 10^2  in scientific notation?

Nov 10, 2015

$6.2 \times {10}^{3} + 4.5 \times {10}^{2}$
$= 62 \times {10}^{2} + 4.5 \times {10}^{2}$
$= 66.5 \times {10}^{2}$
$= 6.65 \times {10}^{3}$
Before adding, make sure that the scientific notations have the same exponents. Therefore you need to change either of the notations. As a sample, change $6.2 \times {10}^{3}$ to $\left(\times {10}^{2}\right)$. Moving the decimal point one place to the right corresponds to -1 exponent, making it $62 \times {10}^{2}$. Now add the initial numbers or coefficients (M) and affix the base which is ${10}^{2}$. Then,change the scientific notation into its standard form using the General Formula: $1 \le M < 10$, therefore the final answer is $6.65 \times {10}^{3}$.