Question

Show that :

(i) division of whole numbers is not closed

(ii) any whole number divided by 1, always gives the number itself.

(iii) every non-zero whole number divided by itself gives 1 (one).

(iv) zero divided by any non-zero number is zero only.

(v) a whole number divided by 0 is not defined.

For each part, given above, give an example.

Answer 1

(i) For example

5 and 8 are whole numbers, but 5 + 8 is not a whole number

Closure property does not exist for division.

(ii) For example

2 + 1 =2, 18 + 1 = 18, 129 + 1 = 129

The above statement is true.

(iii) For example

2 ÷ 2 = 1, 128 ÷ 128 = 1, 256 ÷ 256 = 1

The above statement is true.

(iv) For example

0 ÷ 138 = 0, 0 ÷ 2028 = 0, 0 ÷ 15140 = 0

The above statement is true.

(v) For example

3 ÷ 0 = Not defined or 19 ÷ 0 is not defined

The above statement is true.