# How do you write 47,000 in scientific notation?

Mar 18, 2018

$47 , 000 = 4.7 \cdot {10}^{4}$

#### Explanation:

When writing numbers in scientific notation, we want one non-zero digit in front of the decimal point.

In the number $47 , 000$, the decimal is essentially at the end of the number:

$47 , 000.$

We can loop the decimal point $4$ times to the left to get:

$4.70$

Recall, we looped our decimal $4$ times, and to the left, so the power of $10$ will be a positive $4$, thus:

$47 , 000 = 4.7 \cdot {10}^{4}$