Q56. - Algebra 1

Question

Which point on the number line represents a number whose square is less than itself?

A. $A$                    C. $C$

B. $B$                    D. $D$

Step-by-Step Solution

Answer

(B) is the correct option.

Step 1. Given.

The number line is given as,

Step 2. To Find.

We have to find a number whose square is less than itself.

Step 3. Calculation.

In the number line, the value of the point B is $\frac{1}{2}$.

Squaring $\frac{1}{2}$ and analyzing

$\begin{array}{c}{\left(\frac{1}{2}\right)}^2=\frac{1}{2}\times \frac{1}{2}\\ =\frac{1}{4}\end{array}$

It is clear that the square of $\frac{1}{2}$ is $\frac{1}{4}$ which is less than $\frac{1}{2}$.

$\frac{1}{4}<\frac{1}{2}$

 

So, the correct option is (B).