Question

What is $$\dfrac{8}{0}$$?

Answer 1

Hint: In this question, provided the fraction with two numbers. And we have to calculate the exact value of dividing one number with the other. This can be solved by using a Zero property of division and further simplified by using division operation to get the required value.

Complete step-by-step answer:
The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.
Consider, the given question
We have to find the value of $$\dfrac{8}{0}$$.
Here the numerator having 8 and denominator having 0.
We know that the zero property of division states that if any number divided by zero is undefined or infinity.
Any number "Division by zero is undefined" is true.
$$\dfrac{8}{0}$$= infinity or $$8 = 0 \times \infty $$
There are several kinds of infinity, and I choose the one value of infinity that, when multiplied by zero gives 8. Perfectly good answer I think. We can include the assumption that $$8 = 0 \times \infty $$ infinity in our mathematical system and it will still probably be consistent.
When we say $$\dfrac{8}{0}$$ is infinitely undefined, it means that there are multiple answers, and all of them are correct. There is no right answer. So, if we are seeking "the one right answer" we need to exclude $$\dfrac{8}{0}$$ from consideration.
Hence, it’s a required answer.
So, the correct answer is “infinity”.

Note: If any number divides by zero gets an infinity and zero divides by any number gives a zero.
Remember one of zero's unique rules is called the multiplication property. The multiplication property states that the product of any number with zero is zero. It doesn't matter what the number is, when you multiply it to zero, you get zero as the answer.