**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. **

**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".

Apart from the stuff given above, if you want to know more about "Representation of decimal numbers on number line", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**