# How do you write 375,000 scientific notation?

Apr 1, 2018

$375000$ in scientific notation is $3.75 \times {10}^{5}$.

#### Explanation:

In scientific notation a number is written as $a \times {10}^{n}$, where $n$ is an integer and $a$ is a number which has just one digit to the left of decimal i.e. $1 \le a < 10$.

Hence to write $375000$ in scientific notation, we will have to move decimal five places to the left.

Hence $375000$ in scientific notation is $3.75 \times {10}^{5}$

Aug 8, 2018

$3.75 \cdot {10}^{5}$

#### Explanation:

The key realization is that when we write numbers in scientific notation, we want one digit before the decimal point.

In our case, we must loop it $5$ times to the left. The number of times we loop it is our exponent, and looping left makes it positive. Thus, we have

$3.75 \cdot {10}^{5}$

Hope this helps!