Fraction on the Number Line

We have learnt to show whole numbers like 0,1,2... on a number line.

We can also show fractions on a number line.

Number line for fraction Numbers.

Try to mark 12 on it.

We know that 12 is greater than 0 and less than 1, so it should lie between and .

If we have to show 13, we divide the gap between 0 and 1 into equal parts and show 1 part as 13 (shown above).

13 is also given as 0.30.4. This happens to be the decimal form of 13.

Suppose we want to show 14 on a number line.

How many equal parts should the length between 0 and 1 be divided?

We divide the length between 0 and 1 into 4 equal parts and show each part as 14.

Can we show 23 on a number line?

23 means parts out of parts.

Similarly, how would you show 03 and 33 on this number line?

03 is the point whereas since 33 is whole, it can be shown by the point.

So if we have to show 37 on a number line, then, into how many equal parts should the length between 0 and 1 be divided? 756

If P shows 37 then how many equal divisions lie between 0 and P?

Observe where points 0/7 and 7/7 lie.

1. Show 35 on a number line.

35 means parts out of parts.

2. Show 110 , 010 , 510 and 1010 on a number line.

110 is the point BA , 010 point is , 510 point is and 1010 point is

3. Can you show any other fraction between 0 and 1? Write five more fractions that you can show and depict them on the number line. YesNo

We can locate infinite100 numbers between 0 and 1.

Example:

(i)47

47 means parts out of parts.

(ii)56

56 means parts out of parts.

(iii)34

34 means parts out of parts.

(iv)12

12 means parts out of parts.

(v)78

78 means parts out of parts.

4. How many fractions lie between 0 and 1? Think, discuss and write your answer?

There are an infinite10 number of fractions between 0 and 1.

Example : 35102 , 4563 etc..