Selina solutions

# Question 1

Q1) 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.

Solution 1:

(i) For example

3 and 2 are whole numbers, but 3\div2\ =\ 1.5\ and is not a whole number

Closure property does not exist for division

(ii) For example

2\div1=2,\ 18\div1=18,\ 129\div1=129

The above statement is true

(iii) For example

2\div2=1,\ 128\div128=1,\ 256\div256=1

The above statement is true

(iv) For example

0\div138=0,\ 0\div2028=0,\ 0\div15140=0

The above statement is true

(v) For example

3\div0=\infty,\ 19\div0=\infty

The above statement is true

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