# How do you write 2120.6  in scientific notation?

Mar 9, 2016

$2.1206 \times {10}^{3}$

#### Explanation:

The target format is $2.1206$

To achieve this we would keep the decimal point where it is and slide the number $2120.6$ to the right for 3 digits.

So mathematically we apply :$\text{ } 2120.6 \times \frac{1}{10} ^ 3$

But in doing this on its own changes the value.

But we can make $\frac{1}{10} ^ 3$ be part of 1 in that we have $\textcolor{b r o w n}{{10}^{3} / {10}^{3}}$

$\textcolor{b r o w n}{\text{If we multiply a number by 1 we do not change its value!}}$

$2120.6 \times {10}^{3} / {10}^{3} \text{ " =" "2120.6xx1" " =" } 2120.6$

$\frac{2120.6}{10} ^ 3 \times {10}^{3} \text{ " =" "2120.6xx1" " =" } 2120.6$

Apply the $2120.6 \div {10}^{3}$

$2.1206 \times {10}^{3} \text{ " =" "2120.6xx1" " =" } 2120.6$