1. Division by zero is not defined.
 Consider 8/0 = ?
Is it possible to assign any whole number to this quotient?
Suppose 8/0 = a, where 'a' is a whole number. Since division is the inverse operation of multiplication, we will have 0 x a = 8.
Since 'a' is a whole number and we know that the product of a whole number and zero is always zero. Hence, 0 x a cannot be 8. Thus there is no whole number which when multiplied by zero will ever give us a nonzero whole number.
Therefore 8/0 cannot be equal to any whole number.
 Consider the case, 0/0.
Suppose, 0/0 = a.
Then we get 0 x a = 0. But whatever the whole number "a" may be, 0 x a is always zero. For example,
6 x 0 = 0, 8 x 0 = 0, 25 x 0 = 0, ...............
Hence the supposed "a" can assume any whole number. In other words, 0/0 can represent any whole number. It cannot be any one number. It has innumerable answers.
2. When zero is divided by any nonzero whole number, the quotient is always zero.
Consider 0/7.
Suppose 0/7 = a
Then, 7 x a = 0.
Since the product of two whole numbers is zero, at least one of them has to be zero.
But 7 is not equal to zero; which means a = 0.
Therefore 0/7 = 0.
Directions: Choose the correct answer. Also write at least 10 examples of your own.
