# REPRESENTATION OF DECIMAL NUMBERS ON NUMBER LINE

## About "Representation of decimal numbers on number line"

Representation of decimal numbers on number line :

We all know, how to represent integers  and rational numbers (in the form a/b, where a and b are integers and also b ≠) on the number line.

In a similar way, we can represent decimal numbers on the number line.

## Representation of decimal numbers on number line - Examples

Example 1 :

Represent 0.5 and 1.4 on the number line.

Solution :

There are 10 equal parts between two whole numbers. The length of each equal part is 0.1 or 1/10 part.

0.5 can be written as 5/10.

So, five tenths is the 5 th part from zero.

Similarly 1.4 can be written as 14/10.

So fourteen tenths is fourteenth part from zero. or fourth part from one.

Example 2 :

Represent 0.3, 0.8, 1.4 and 2.6 on the number line.

Solution :

There are 10 equal parts between two whole numbers. The length of each equal part is 0.1 or 1/10 part.

0.3 can be written as 3/10.

So, three tenths is the 3 rd part from zero.

Similarly 0.8 can be written as 8/10.

So, eight tenths is the 8 th part from zero.

Similarly 1.4 can be written as 14/10.

So fourteen tenths is fourteenth part from zero. or fourth part from one.

Similarly 2.6 can be written as 26/10.

So twenty six tenths is twenty sixth part from zero. or sixth part from one.

Example 3 :

Mark 2.4 cm on a scale.

Solution :

There are 10 equal parts between in the length 1 cm. The length of each equal part is 0.1 or 1/10 part.

2.4 cm can be written as 24/10.

So, twenty four tenths is the 24 th part from zero or fourth part from 2.

Example 4 :

Write 0.1 as tenths and mark it on a number line.

Solution :

0.1 is one tenth. That is, 0.1  =  1/10

In the above number line, if we divide the distance between two whole numbers (0 and 1) into 10 equal parts, the length of each equal part is 0.1 or 1/10 part.

So, one tenth (1/10) is the 1 st part from zero as marked on the number line above.

Example 5 :

Write 0.01 as hundredths and mark it on a number line.

Solution :

0.01 is one hundredth. That is, 0.01  =  1/100

In the above number line, if we divide the distance between two whole numbers (0 and 1) into 100 equal parts, the length of each equal part is 0.01 or 1/100 part.

So, one hundredth (1/100) is the 1 st part from zero as marked on the number line above.

Example 6 :

Mark 8.43 cm on a scale

Solution :

After having gone through the stuff given above, we hope that the students would have understood "Representation of decimal numbers on number line".

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