Why does dividing by zero gives infinity?

A number divided by zero is infinity because division by zero is undefined, and infinity does not really exist. And in terms of multiplication, since anything times 0 equals 0, you are really stuck because no matter what real amount you use the only product you will ever get is 0.

When you divide a number by itself the answer is always zero?

A Number Divided by Itself aa=1where a≠0 This just says that any number divided by itself will give you 1. Incidentally, this is the multiplicative identity. It makes sense we get 1. That’s because dividing aa is the same as multiplying a⋅1a.

Is something divided by 0 infinity?

In mathematics, anything divided by zero is not defined (and not infinity). But ‘limit’ (1/x); x->0 is well defined and is equal to infinity (it is the basic concept of limits).

Why is 0 an infinite number?

The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite.

What is infinity over infinity?

You can’t really say that infinity divided by infinity is anything. For all intents and purposes, it is undefined. This is because infinity is seen as a concept, not a number – and its symbol merely represents the concept.

What happens when you divide by infinity?

Any number divided by infinity is equal to 0.

Why the answer is always 1 when you divide a number by itself?

(Multiplication is an inverse operation of division.) Any number, except zero, divided by itself is 1. Any number divided by 1 is that number. Zero divided by any other number is zero.

How do you explain dividing by zero?

A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero.

Who invented infinity in India?

Srinivasa Ramanujan
Srinivasa Ramanujan was born on December 22, 1887, in Tamil Nadu’s Erode. He had developed a talent for mathematics from a very young age, mastering trigonometry at the age of 12 and was eligible for a scholarship at the Government Arts College in Kumbakonam.