# How do you list the decimals in order of least to greatest: 0.476, 0.486, 0.47?

Mar 4, 2018

See below.

#### Explanation:

The first step is to make sure that all the decimals have the same number of places, so in this case, $3$, since that is the highest number of places. Because $0.47$ is only two decimal places, you must now add a $0$ to make it $0.470$.

Now, you are left with the decimals $0.476 , 0.486 , \mathmr{and} 0.470$. Normally, you would look at the tenths place to see what is the smallest and what is the greatest, but since the tenths place of all the decimals is $4$, you have to look at the hundredths place.

Since $7$ comes before $8$, you know that $0.476$ and $0.470$ are smaller than $4.86$. But since their tenths place is the same, you must move onto the thousanths place of $0.476$ and $0.470$.

Because $0$ is before $6$, you now know the order of these decimals.

$0.47 , 0.476 , 0.486$