# Representing Decimals on Number Line

Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.

1. Represent the following decimals 0.9, -1.3, -0.6 and 1.1 on a number line.

Since, 0.9 = 9/10, -1.3 = -13/10, -0.6 = -6/10 and 1.1 = 11/10

Divide the space between every pair of consecutive integers (on the number line) in 10 equal parts. Each part so obtained will represent the fraction 1/10 i.e., decimal 0.1 and the number line obtained will be of the form:

To mark 0.9; move nine parts on the right-side of zero.

To mark -1.3; move thirteen parts on the left-side of zero.

To mark -0.6; move six parts on the left-side of zero.

To mark 1.1; move eleven parts on the right-side of zero.

The following diagram shows markings of decimals 0.9, -1.3, -0.6 and 1.1 on a number line.

2. Represent the decimals: 0.3, 0.7, -0.4 and -1.2 on a number line.

Since, 0.3 = 3/10, 0.7 = 7/10, -0.4 = -4/10 and -1.2 = -12/10

Divide the space between every pair of consecutive integers (on the number line) in 10 equal parts. Each part so obtained will represent the fraction 1/10 i.e., decimal 0.1 and the number line obtained will be of the form:

To mark 0.3; move three parts on the right-side of zero.

To mark 0.7; move seven parts on the right-side of zero.

To mark -0.4; move four parts on the left-side of zero.

To mark -1.2; move twelve parts on the left-side of zero.

The following diagram shows markings of decimals 0.3, 0.7, -0.4 and -1.2 on a number line.

3. Draw a number line to represent decimals: 0.75, 1.50 and -1.25

Since, 0.75 = 75/100, 1.50 = 150/100 and -1.25 = -125/100

Divide the space between every pair of consecutive integers (on the number line) in 4 equal parts. Each part so obtained will represent the fraction 1/25 i.e., decimal 0.25 and the number line obtained will be of the form:

To mark 0.75; move three parts on the right-side of zero.

To mark 1.50; move six parts on the right-side of zero.

To mark -1.25; move five parts on the left-side of zero.

The following diagram shows markings of decimals 0.75, 1.50 and -1.25 on a number line.

Thus, we have learnt how to represent and draw any decimal points on the number line.