Question

Which of the following is/are correct ?
(This question has multiple correct options.)
A) $6\div 3=2$
B) $3\div 6=\dfrac{1}{2}$
C) $6\div 3\ne 3\div 6$
D) None of the above

Answer 1

Hint: In general we can write division signs as in form of fraction. If we have $\text{a }\!\!\div\!\!\text{ b}$ it means we need to divide a from b. So b should be in the denominator.
Hence we can say $\text{a }\!\!\div\!\!\text{ b}$ implies that $\dfrac{\text{a}}{\text{b}}$

Complete step by step solution:
A) $6\div 3=2$
$6\div 3=\dfrac{6}{3}=2$.
Option A is correct.

B) $3\div 6=\dfrac{1}{2}$
$3\div 6=\dfrac{3}{6}=\dfrac{1}{2}$
Option B is correct.

C) $6\div 3\ne 3\div 6$
$6\div 3=\dfrac{6}{3}=2$
$3\div 6=\dfrac{3}{6}=\dfrac{1}{2}$
So $6\div 3\ne 3\div 6$
Hence option C is also correct.

D) None of the above
Option D is incorrect.

Note:-
$\text{a }\!\!\div\!\!\text{ b=}\dfrac{\text{a}}{\text{b}}$ division can be do by successive subtraction method also
i.e.
$\Rightarrow 9\div 3=\dfrac{9}{3}$
$\Rightarrow 9-3=6$
$\Rightarrow 6-3=3$
$\Rightarrow 3-3=0$
Hence we have to subtract $''3''$ three times from 9 to obtain 0.