Chapter 0, Problem 15POT

To determine

The order of numbers from least to greatest $4\frac{4}{5},4.85,2\frac{2}{8},2.6$ .

Answer to Problem 15POT

The order of numbers from least to greatest is $2\frac{2}{8},2.6,4\frac{4}{5},4.85$ .

Explanation of Solution

Given information:

Numbers to be ordered: $4\frac{4}{5},4.85,2\frac{2}{8},2.6$ .

To order numbers from least to greatest, write all of the fractions as decimals.

Hence,

  $\begin{array}{c}4\frac{4}{5}=4+\frac{4}{5}\\ =4+0.8\\ =4.8\end{array}$

And

  $\begin{array}{c}2\frac{2}{8}=2+\frac{2}{8}\\ =2+0.25\\ =2.25\end{array}$

Since,

  $2.25<2.6<4.8<4.85$

Therefore,

  $2\frac{2}{8}<2.6<4\frac{4}{5}<4.85$

Thus, the order of numbers from least to greatest is $2\frac{2}{8},2.6,4\frac{4}{5},4.85$ .