Question

Order$0.5,-\frac{1}{7},-0.2,\text{and}\frac{1}{3}$from least to greatest.

Short answer

The correct order from the least to the greatest is $-0.2<-0.14<0.33<0.5$.

Step-by-step solution

Step 1. Convert the fraction into a decimal.

$\begin{array}{l}-\frac{1}{7}=-0.14\\ \frac{1}{3}=0.33\end{array}$

Step 2. Representation of negative sign.

For any positive integers x and y, given and $x>y$.

So, when the integers x and y are negative, then it will be $-x<-y$.

Step 3. Replace the given fraction and decimal in order from least to greatest.

So, on arranging the given numbers from least to greatest, we have

$-0.2<-0.14<0.33<0.5$