# PLOTTING RATIONAL NUMBERS ON A NUMBER LINE

To plot a rational number on a number line, convert the given rational number to a decimal number. Now we can easily identity where the decimal number has to be plotted on the number line.

Example 1 :

Draw the number line and represent the following rational numbers on it

(i)  9/4   (ii)  -8/3   (iii)  -17/(-5)   (iv)  -15/4

Solution :

(i)  9/4  =  2.25

(ii)  -8/3  =  -2.66

(iii)  -17/(-5)  =  3.4

(iv)  -15/4  =  3.75 Example 2 :

Find the rational number for the question mark marked on the number line. Solution :

The part lies between -4 and -3 is divided into three equal intervals.

Moving from -3 to the indicated arrow, we have to cover 2/3 interval.

=  -3 + (-2/3)

=  -11/3

So, the question mark on the number line represents -11/3.

Example 3 :

Find the rational number for the question mark marked on the number line. Solution :

The portion between 0 and -1 is divided into 5 equal parts.Moving from 0 to the arrow indicated, we have to cover 2/5 part.. Since we move to the left side, we have to take negative sign.

So, the question mark on the number line represents -2/5.

Example 4 :

Find the rational number for the question mark marked on the number line. The portion between 0 and -1 is divided into 4 equal parts.Moving from 1 to the arrow indicated, we have to cover 3/4 part.. Since we move to the right side, we have to take positive sign.

=  1 +  (3/4)

=  7/4

So, the question mark on the number line represents 7/4. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

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