Question

Which of the following is represented by $A$. In the Following Number Line

$a) 13 $
$b)\dfrac{6}{{13}} $
$c) 6$
$d)\dfrac{0}{{13}}$

Answer 1

Hint: To solve these types of problems we should know about the basis of a number line. A number line is a diagrammatic representation of numbers on a straight line. This line is used to compare the numbers.
Zero is present at the center. We place positive numbers to the right of Zero. We place negative numbers on the Left of Zero. This line can be drawn horizontally. We can draw the number infinitely on both sides.

Complete Step by Step Answer:
We can express fractions on a Number Line

Any number to the right is always greater than the number to its Left.
i.e $\dfrac{3}{{21}}$ is greater than $\dfrac{1}{{21}}$
Any number to the left is always lesser than the number to its right.
i.e $\dfrac{{ - 3}}{{21}}$ is lesser than $\dfrac{{ - 1}}{{21}}$
The Number Line that has been given in the Problem is

We have to find the value of $A$ in the Number line. In the number line, the numbers are arranged in an increasing order towards the Right and the value of the Fraction is increasing by $\dfrac{1}{{13}}$ in every Step.
So the number is $\dfrac{6}{{13}}$
Hence, the value of $A$ is $6$

The Correct Option is $(c)$

Note:
We should be careful while selecting the options for the answer. They had given the Number as $\dfrac{A}{{13}}$ not $A$. We tend to think that the correct option is $(b)$. But it is Wrong. We should read the Question carefully. They are asking the value of the Numerator of the fraction and not the Whole Fraction.
So the Correct Option is $(c)$. We can also perform Addition and Subtraction of two numbers with the help of a Number Line.