|1. Division by zero is not defined.
2. When zero is divided by any non-zero whole number, the quotient is always zero.
- 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 non-zero 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.
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.