MATHS QUERY
Rational Number and its Representation on Number Line
To start with what are rational numbers and how do we write them, there is a brief introduction about them
here.
A number which can be written in the form of \(\frac{p}{q}\), where p and q are integers and \(q \; \neq \; 0\).
\(\frac{1}{2}\), \(\frac{6}{7}\), \(\frac{9}{10}\), \(\frac{3}{10}\) etc.
Even 0 is also a rational number as 0 can be written as \(0 \; =\;\frac{0}{1}\)
Rational number can be written on number line same as usual numbers.
Step 1
Let’s learn the above steps with an example.
Example 1: Represent \(\frac{3}{7}\) on number line.
Example 2: Represent \(\frac{7}{4}\) on number line when value of denominator is less than value of
numerator.
Introduction
We will discuss more about them here and learn if we can represent them on the number line and how.What is rational number?
How to represent rational number on number line.
The following steps will help in representing a rational number on number line.
Draw a number line with positive numbers on the right hand side and negative number on the left hand side
of 0.
Step 2
Divide distance between 0 and 1 into n equal points.
Mark the points as \(\frac{1}{n}\), \(\frac{2}{n}\), \(\frac{3}{n}\), \(\frac{4}{n}\) etc.
Step 1
Draw a number line with positive numbers on the right hand side and negative number on the left hand
side of 0.
Step 2
Here, n = 7.
So, divide distance between 0 and 1 into 7 equal points.
Length of each part between two adjacent points is \(\frac{1}{7}\).
Now, start from 0 and mark the point \(\frac{3}{7}\) on number line.
So, OA = \(\frac{3}{7}\)
Step 1
Draw a number line with positive numbers on the right hand side and negative number on the left hand
side of 0.
Step 2
Here, n = 4.
So, divide distance between 0 and 1 into 4 equal points and do the same from 1 to 2, i.e. divide them
into 4 equal parts.
Length of each part between two adjacent points is \(\frac{1}{4}\).
Mark the point \(\frac{7}{4}\) on number line.
So, OA represents \(\frac{7}{4}\)