Rational numbers on a number line
Locating the rational numbers on a number line is an important skill. For example, to represent the number −3/4 on the number line, −3/4 being negative would be marked to the left of 0 and it is between 0 and –1. We know that the integers, 1 and –1 are equidistant from 0 and so are the numbers 2 and –2, 3 and –3 from 0. This concept remains the same or rational numbers too. Now, as we mark 3/4 to the right of zero, at 3 parts out of 4 between 0 and 1, the same way, we will mark −3/4 to the left of zero, at 3 parts out of 4 between 0 and –1 as shown below.
Similarly, it is easy to find -3/2 between –1 and –2 since -3/2 = - 1 ½ P
Now, on the following number line what rational numbers do the letters A and B represent?
You will now be able to say easily the rational numbers marked by A and B on the number line as shown above. Isn’t it? Here, A represents the rational number and B represents the rational number