# How do you write two decimals that is equivalent to 0.9?

Oct 19, 2016

The examples can be: $0.90$ and $0.900$

#### Explanation:

Generally if you add zeros to the right side of a decimal you get the fractions equal to the original number:

$0.9 = 0.90 = 0.900$

To proove that let's change the decimals to fractions:

$0.9 = \frac{9}{10}$

We can expand the fraction by any number to get other equal fractions. If we expand them by the powers of $10$ we get equal decimals:

$\frac{9}{10} = \frac{90}{100} = \frac{900}{1000}$ and so on.

From this we can see that if you add zeros to $0.9$ you get equal decimals.