Question

Give three examples to prove that if p and q are two integers then p/q is not necessarily an integer

Answer 1

Ex-1: p is 2 q is 3 but p/q I. e 2/3 is not an integer
Ex 2: p is -2 and q is 3 but p/q I. e. -2/3 is not an integer
Ex 3: p is -3 and q is -4 but p/q I. e. -3/-4 I. e 3/4 is not an integer
hope it helps

Answer 2

Given :   p and q are two integers then p/q is not necessarily an integer

To Find : Give Examples

Solution:

Integers follows closure property for  Addition , subtraction and multiplication

Hence p + q  , p - q and P * q  will be integers

but division does not follow closure property in integers

Hence  p ÷ q  may not be integer

Example

3/2  is not an integer

7/3  is not an integer

3/8  is not an integer

4/2 = 2 is a integer  

Hence p/q is not necessarily an integer

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