Question

Give one example each to show that the rational numbers are closed under addition , subtraction and multiplication . Are rational numbers closed under division ? Give two examples in support of your answer.

Answer 1

Step-by-step explanation:

Examples of closure property under

(i) Addition-

2

1

+

3

2

=

6

3+4

=

6

7

(ii) Subtraction

2

1

−

3

2

=

6

3−4

=

6

−1

(iii)Multiplication

2

1

×

3

2

=

6

2

=

3

1

No, rational numbers are not closed under division.

Let us take two rational numbers 3 and 0.

Then their division

0

3

is not defined,

Answer 2

Answer:

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