REPRESENTATION OF DECIMAL NUMBERS ON NUMBER LINE

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 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.

0.3 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 :

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