Question

Mark the following pairs of rational number on the separate number lines
1. 3 upon 4 and 1 upon 4
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Answer 1

Represent the fractions: 2/5, 11/5, -8/5 and -3/5 on a number line.

Since, the denominator of each given fraction is 5; divide the space between every pair of two consecutive integers (on the number line) in 5 equal parts. Each part so obtained will represent the fraction 1/5 and the number line obtained will be of the form:

Representing Fractions on Number Line

To mark 2/5; move two parts on the right-side of zero.

To mark 11/5; move eleven parts on the right-side of zero.

To mark -8/5; move eight parts on the left-side of zero.

To mark -3/5; move three parts on the left-side of zero.

The following diagram shows markings of fractions 2/5, 11/5, -8/5 and -3/5 on a number line.

Fractions on Number Line

2. Represent the following fractions: 1/4, 7/4, -3/4 and -9/4 on a number line.

Since, the denominator of each given fraction is 4; divide the space between every pairs of two consecutive integers (on the number line) in 4 equal parts. Each part so obtained will represent the fraction 1/4 and the number line obtained will be of the form:

Fractions on the Number Line

To mark 1/4; move one part on the right-side of zero.

To mark 7/4; move seven parts on the right-side of zero.

To mark -3/4; move three parts on the left-side of zero.

To mark -9/4; move nine parts on the left-side of zero.

The following diagram shows markings of fractions 1/4, 7/4, -3/4 and -9/4 on a number line.

Fractions and Number Line

3. Draw a number line to represent fractions: 3/8, 5/8, -1 3/8, -7/8

Since, the denominator of each given fraction is 8; divide the space between every pairs of two consecutive integers (on the number line) in 8 equal parts. Each part so obtained will represent the fraction 1/8 and the number line obtained will be of the form:

Fraction Number Line

To mark 3/8; move three parts on the right-side of zero.

To mark 5/8; move five parts on the right-side of zero.

To mark -1 3/8 i.e. -11/8; move eleven parts on the left-side of zero.

To mark -7/8; move seven parts on the left-side of zero.

The following diagram shows markings of fractions 3/8, 5/8, -1 3/8, -7/8 on a number line.

Fractions on a Single Number Line

So, in representing fractions on number line we have learnt how to draw any fractional points on the number line.

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