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.

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