When you divide by zero the answer is always zero?

Answer 1

You cannot divide by zero.

Zero is special in that it does not have a multiplicative inverse.

There is a reason why you did not have to memorize division by 0 tables in the third grade. That is because you do not divide by zero.

In analysis (advanced calculus), you may discuss the fact that the limit of 1/x as x approaches 0 is infinity, but this has nothing to do with ordinary arithmetic operations. The best example I can give is 0/0.

Here are some examples

A Baseball player has never batted and he has no hits.

What is his batting average?

A Basketball player has not taken any shots and he has not made any baskets,

What is her field-goal percentage ?

A student has no money so he invests nothing in a saving account. His annual interest in $0.00. What was the annual percentage interest rate for the account ?

These examples all show why 0/0 is undefined and is surely not equal to 0 or 1 as a person might guess it could be. No.

Division tells you how many times you can subtract a number before the result is zero, but if you subtract again, the result will not be zero; for example 12 ÷ 4 = 3 tells you that you can subtract 4 from 12 three times and you'll get zero:

1. 12 - 4 = 8
2. 8 - 4 = 4
3. 4 - 4 = 0
4. 0 - 4 = -4

The fourth subtraction taking the result away from zero.

No matter how many times you subtract zero from a non-zero number, it will remain as that number and you will never get to zero.

Except You can subtract zero from zero and the result is zero always zero, but how many times can it be done? once, twice, three times, etc. zero divided by zero is any number you want!