Number line

Number line representation

A line which can be extend up to infinite values from both the sides of zero (0), 

any value or any rational number can be represented on that line for better understanding see below pictures

similar line can be proceed towards negative side too.

now if any number given and to ask to represent this on number line then we have to draw number line first and then locate (find) the particular value of on number line to represent that value, but it seems easier when it is whole number or negative whole numbers.

• What if Fractions and rational Number or Decimals given?

answer:-

there is so many methods to locate such kind of  number 

if decimals are given then draw a number line and also draw shorter lines between two whole numbers, which represents decimals, like wise check out below image:-

• What if Fractions or rational Number given:-

in this situation I suggest whatever is given find what is the denominator of that rational number or fraction for example:

3/8 or 2.6 i.e.
2.6= 26/10

at first (8) and at second (10) is denominator

I'm taking first 3/8 as an example to explain

pick out the denominator 8 and divide the gap (between 0 & 1)  into 8 equal sections, each partitions is representing 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8=1,

so third one is our required location for better understanding checkout below image:-

• What if there is mix fraction given:-

if any mix fraction given and to asked to represent on number line then one should start with the whole number given for example:

2¾

so firstly represent 2 on number line after that for ¾ divide the  4 sections ( as denominator is 4 in this example) between 2 & 3, each section is representing 1/4, 2/4, 3/4 & 4/4(= next whole number that is 3).

so the third one is our desired location, check out below image

so I hope you have got to know Number line representation, I want you to practise it your own with the following numbers

0.5, 0.7, 2.4, 4.5

⅔, ⅜, ½, ¼, ⅞

5⅞, 4¾, 8⅝,  -4⅔.

still if you are finding any problem you can comment freely.