# How do you order from least to greatest {5.4, 537/100, 5.09, sqrt29}?

Oct 24, 2016

$5.09 < \frac{537}{100} < \sqrt{29} < 5.4$

#### Explanation:

Convert them all to decimal form. Then they are easy to compare.

You can use fraction form because $\sqrt{29}$ is irrational and cannot be written as a fraction.

Compare the digits in the first decimal place...

$\text{5.4 = 5.40" } \leftarrow$ biggest

$\frac{537}{100} = 5.37 \text{ } \leftarrow$ second smallest

$5.09 = 5.09 \text{ } \leftarrow$ smallest

$\sqrt{29} = 5.385 \text{ } \leftarrow$ second biggest

Answer using the original numbers:

$5.09 < \frac{537}{100} < \sqrt{29} < 5.4$