# How do you write 4392.7 in scientific notation?

May 9, 2017

4.3927 $\times {10}^{3}$

#### Explanation:

In scientific notation there is to be only one number to the left of the decimal. The decimal must be moved three places to the left to put 4 as the only digit to the left of the decimal.

To maintain the value of the number it must be multiplied by a a power of ten. As the decimal has been moved three places to the left making the number smaller the power of ten must be larger by three powers of ten. ( the decimal was moved three places. )

The number of significant numbers ( numbers that have been measured) must be preserved to indicate the precision of the number. There are five numbers in # 4392.7 so all five of these numbers must be expressed in scientific notation. so the answer is

$4.3827 \times {10}^{3}$

May 9, 2017

Rounded: $4.4 \cdot {10}^{3}$

Unrounded: $4.3927 \cdot {10}^{3}$

#### Explanation:

The goal of scientific notation is to have a small number (the ones place, usually with a decimal) multiplied by $10$ to a power.

By multiplying by ${10}^{3}$, the decimal place is moved left $3$ digits, making the number $4.3927 \cdot {10}^{3}$.

Hope this helps!