how do you take 6/0= to get the answer
You can't get an answer.
Division by zero is undefined.
Here is a little experiment.
Take your calculator and divide 5 by .001
then by .0001
then by .00000001
notice you are dividing by a number which is getting close to zero, but is still NOT zero
What do you think should happen if you did divide by zero ??
than you get zero?
no, you get ∞, which is a value larger than any possible number. It is undefined.
The expression 6/0 poses what is known as a "division by zero" error. In mathematics, division by zero is undefined because it does not follow the rules of arithmetic. Any attempt to perform such a division would result in an error or an undefined value.
To understand why it is not possible to divide by zero, you can think about what division represents. Division is essentially finding out how many times one number can be evenly divided by another. For example, in the expression 6/2, we are asking how many times 2 can be divided into 6, which is 3.
However, in the case of 6/0, we are asking how many times 0 can be divided into 6. The problem is that there is no number that, when multiplied by 0, can give us a non-zero result. In other words, dividing by zero violates the fundamental properties of arithmetic and is therefore undefined.
In mathematics, when you encounter a division by zero situation, it is considered an error or an invalid operation.