Chapter 0.4, Problem 7E

To determine

To find: The ordered form of the given set of rational number from least to greatest.

Answer to Problem 7E

The required order is $3.06,3.16,3.75,3.8$ .

Explanation of Solution

Given:

Thegiven set of rational number is $3.7,3.06,3\frac{1}{6},3\frac{3}{4}$ .

Calculation:

Consider the given set of numbers is,

$3.7,3.06,3\frac{1}{6},3\frac{3}{4}$

Consider the mixed fraction in the decimal form as,

$\begin{array}{c}3\frac{1}{6}=\frac{\left(6\right)\left(3\right)+1}{6}\\ =\frac{18+1}{6}\\ =\frac{19}{6}\\ =3.16\end{array}$

Also,

$\begin{array}{c}3\frac{3}{4}=\frac{\left(4\right)\left(3\right)+3}{4}\\ =\frac{12+3}{4}\\ =\frac{15}{4}\\ =3.75\end{array}$

Then, the order from least to greatest is,

$3.06,3.16,3.75,3.8$