Question

What is the sum of two rational number. Verify taking any two positive rational number

Answer 1

Answer:

rational number

it would. rational because these two numbers are rational

Answer 2

Step-by-step explanation:

We are given to verify all the properties of rational numbers by taking any two rational numbers as example.

We know that a rational number is of the form  and p, q are integers.

So, let the two rationals be 

The properties are as follows:

(i) Closure property : Addition and multiplication of two rational numbers is again a rational number.

We have



(ii) Commutative property : Addition and multiplication of rational numbers is commutative.

We have



(iii) Associative property.

(iv) Distributive property.

One can also verify the last two properties because by taking a third rational number.

Hence completed.