# How to simplify [1.23 times 10^(11)] times 25  in scientific notation?

Jun 3, 2018

$3.075 \times {10}^{12}$

#### Explanation:

Given: $\left[1.23 \times {10}^{11}\right] \times 25$

$\left[1.23 \times {10}^{11}\right] \times 25 = 1.23 \times 25 \times {10}^{11}$

$= 30.75 \times {10}^{11}$

Standard form of scientific notation is when there is a decimal to the right of the left-most non-zero number. eg. $1.27 \times {10}^{4}$

When you move the decimal place one place to the left, you add one to the existing exponent.

$30.75 \times {10}^{11} = 3.075 \times {10}^{11 + 1}$

$= 3.075 \times {10}^{12}$