How do you write 450,000 in scientific notation?

Sep 1, 2016

$4.50 \times {10}^{5}$

Explanation:

Consider that any number written in scientific notation must contain only one integer followed by a decimal point and the required number of significant figures.

Also consider that $450 000 = 450 000.0$

Therefore, assuming three significant figures is required (a standard scientific practice), the given number may be generally written as;

$4.5 \times {10}^{n}$, where $n$ is an integer.

Given that the decimal place must essentially be "moved" $n$ places to the left, we can say that:

$4.50 \times {10}^{5}$ = $450 000.0$, as the decimal point has been "moved" 5 places to the right.