Why anything divided by zero is infinity?

Last Update: April 20, 2022

This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!

Asked by: Prof. Roma King II
Score: 4.4/5 (1 votes)

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it's the length of a number. ... As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it's undefined.

Why any number divided by zero is infinity?

Wallis wrote that for ever smaller values of n, the quotient 24 ÷ n becomes increasingly larger (e.g., 24 ÷ . 001 = 24,000), and therefore he argued that it becomes infinity when we divide by zero. ... 34 from Article 83, where Euler explains why a number divided by zero gives infinity.

Why can't we divide by zero?

The short answer is that 0 has no multiplicative inverse, and any attempt to define a real number as the multiplicative inverse of 0 would result in the contradiction 0 = 1. Some people find these points to be confusing. These notes may be useful for anyone with questions about dividing by 0.

What is anything divided 0?

Ans: Dividing any number by zero does not make sense, because in maths, dividing by zero can be interpreted as multiplying by zero. There's no number that you can multiply by zero to get a non-zero number. There's no solution, so any non-zero number divided by 0 is undefined.

Is 0 divided by 3 defined?

0 divided by 3 is 0. In general, to find a ÷ b, we need to find the number of times b fits into a.

Why can't you divide by zero? - TED-Ed

24 related questions found

Is 0 divided by 0 defined?

So zero divided by zero is undefined. ... Just say that it equals "undefined." In summary with all of this, we can say that zero over 1 equals zero. We can say that zero over zero equals "undefined." And of course, last but not least, that we're a lot of times faced with, is 1 divided by zero, which is still undefined.

Who invented 0?

The first modern equivalent of numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. His symbol to depict the numeral was a dot underneath a number.

Can zero be divided by 1?

Answer: Zero divided by 1 is 0.

Let's divide zero by 1. Explanation: ... 0/1 = 0, whereas, 1/0 is not defined. For example, if zero is to be divided by any number, this means 0 items are to be shared or distributed among the given number of people.

Why is 0 to the 0 power undefined?

No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined!

Is Dividing by 0 infinity?

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it's the length of a number. ... As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it's undefined.

What is 4 divided by infinity?

Any number divided by infinity is equal to 0.

What is zero divided infinity?

Regardless of what large number we're dividing by our answer is 0 and by letting this large number increase (as much as we please, tending to infinity) the answer is still 0. Thus the 'answer' to your question is 0.

What is 3 to the O power?

Just one... don't put anything on the table and that's your only option. Therefore it's consistent to say 30 = 1. There are other reasons why a0 has to be 1 - for example, you may have heard the power rule: a(b+c) = ab * ac.

What is infinity to the 0 power?

Answer: Infinity to the power of zero is equal to one.

What is infinity divided 1?

Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.

Is 0 a real number?

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers.

Can zero be divided by 2?

Zero can be divided by another number. When zero is divided by any number the result is the same, zero. ... It is the division of a number by zero that is not defined, and is taken to equal infinite. If you divide any number A by a number B, you will see that the result increases as B decreases in value.

What is a 0 in math?

Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function is also sometimes known as "a zero of ."

Who is the father of mathematics?

Archimedes is considered the father of mathematics because of his notable inventions in mathematics and science. He was in the service of King Hiero II of Syracuse.

Who found maths?

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Is it 0 0 or infinity?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity. Similarly, expressions like 0/0 are undefined.

Is 5 divided by 0 defined?

Why dividing by zero is undefined.

What is 0 0 on a graph?

_The point where the two axes intersect is called the origin. The origin is also identified as the point (0, 0).

What is 5 to the power?

Answer: 5 to the power of 5 can be expressed as 55 = 5 × 5 × 5 × 5 × 5 = 3,125. Let us proceed step by step to express 5 to the power of 5. Explanation: The two important terms used frequently in exponents are base and powers.