# How do you order these decimals from greatest to least 0.5 0.75 0.55?

Dec 2, 2016

0.75, 0.55, 0.5

#### Explanation:

0.5, 0.75, 0.55

First, make sure they are even, if they aren't, add a zero.

Since 0.5 isn't even with 0.75 and 0.55, add a zero after the 5.

0.50

Making 0.75, 0.55, 0.50

Now that they are all even, order Greatest to Least.

0.75 first since it's the greatest.

0.55 is next since it's larger than 0.5 but, smaller than 0.75.

And, lastly .5 because it's the smallest of the trio.

Hope this helps.

Dec 4, 2016

One of several approaches

$0.5 \text{, "0.55", "0.75 larr" least to greatest - Not this one.}$

0.75", "0.55", "0.5 color(red)(larr" This one; greatest to least")

#### Explanation:

$0.5 \text{ is the same as } \frac{5}{10}$

$0.55 \text{ is the same as } \frac{5}{10} + \frac{5}{100}$

$0.75 \text{ is the same as } \frac{7}{10} + \frac{5}{100}$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\left(\frac{5}{10}\right) \text{ is less than } \left(\frac{5}{10} + \frac{5}{100}\right)$

$\left(\frac{5}{10} + \frac{5}{100}\right) \text{ is less than } \left(\frac{7}{10} + \frac{5}{100}\right)$

So the order is:

$\left(\frac{5}{10}\right) \text{, "(5/10+5/100)", } \left(\frac{7}{10} + \frac{5}{100}\right)$
$\text{ " darr" "darr" } \downarrow$
$\text{ "0.5", "0.55", } 0.75$