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

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Answer 1 · 2016-10-24T07:47:45

$5.09 < 537/100 < sqrt29 < 5.4$

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...

$""5.4 = 5.40" "larr$ biggest

$537/100 = 5.37" "larr$ second smallest

$5.09 = 5.09" "larr$ smallest

$sqrt29 = 5.385" "larr$ second biggest

Answer using the original numbers:

$5.09 < 537/100 < sqrt29 < 5.4$

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