# How do you write  173,000  in scientific notation?

Feb 5, 2016

$173000 = 1.73 \cdot {10}^{5}$ or 1.73E+5.

#### Explanation:

$173000 = 1.73 \cdot {10}^{5}$, which is sometimes written as 1.73E+5.

The simplest way to calculate this is to take the decimal point from where it starts - in this case it is invisible, but it is to the right of the last $0$, like this: $173000.$

We want to move it until there is only one digit to the left of it: this is the basis of scientific notation. We jump it $5$ spaces to the left to do this.

To make sure we still have the same number, we have to multiply our new number, $1.73$ by the number of powers of $10$ we have jumped - in this case $5$ of them. We write this in the form ${10}^{5}$.

Putting it together gives $1.73 \cdot {10}^{5}$.