Question

Can anyone tell me how to find rational number using this formula - x+y/ 2 .... for example find a rational number between -2 and 6.

Answer 1

Ho There !

By using the formula (x+y)/2 , we are simply finding the average of two given Rationals and average always lies between the two numbers whose average we have calculated.

So , here our numbers are →

-2 and 6

So , let's apply the formula →

(-2 + 6)/2 = 4/2 = 2

Therefore , 2 lies between -2 and 6.

We have found one number , but what if when , we are asked to find two numbers?

As we know that 2 lies between -2 and 6
So, if we calculate average of 2 and 6 , then their average also must lie between -2 and 6.

So, average of 2 and 6 →

(2+6)/2 = 8/2 = 4

Again , we obtained 4 , which also lies between -2 and 6.

So, to find more numbers we will continue this process , until we get required number of results , and there are Infinite Rationals between any two numbers.
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