Question

Which letter corresponds to the closest representation of $\sqrt{7}$ on the number line below?

• A. $A$
• B. $B$
• C. $C$
• D. $D$

Answer 1

The correct option is C $C$

In the given number line, we observe that there is a difference of $0.05$ between each of the point. That is, all points on the number line from left to right are:

$2.1,2.15,2.2,2.25,2.3,2.35,2.4,2.45,2.5,2.55,2.6,2.65,2.7,2.75,2.8$

Now, consider the points $A,B,C$ and $D$ on number line as follows:

The point $A$ is somewhere between $2.5$ and $2.55$

The point $B$ is somewhere between $2.55$ and $2.6$

The point $C$ is somewhere between $2.6$ and $2.65$

The point $D$ is exactly $2.75$

Now, the value of $\sqrt{7}$ is $2.646$ and point $C$ is somewhere between $2.6$ and $2.65$.

Hence, the letter $C$ corresponds to the closest representation of $\sqrt{7}$ on the number line.