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What Divided by What Equals Infinity?

Published in Mathematics 1 min read

You can't actually divide anything by anything to get infinity. Infinity isn't a number you can reach by performing a mathematical operation. It's a concept representing something without a limit.

Here's why:

  • Division is about splitting a quantity into equal parts: When you divide a number by another, you're essentially figuring out how many times the second number fits into the first.
  • Infinity is limitless: Infinity doesn't have a defined size or value, making it impossible to use it in a division problem like a regular number.

However, you can get close to infinity in a mathematical sense. For example:

  • Dividing a number by a very small number: As the denominator gets closer and closer to zero, the result of the division gets larger and larger, approaching infinity.
    • Example: 1 divided by 0.1 equals 10, 1 divided by 0.01 equals 100, 1 divided by 0.001 equals 1000, and so on.

Remember, while you can get arbitrarily close to infinity through division, it's important to understand that it's not a number you can reach by performing a simple mathematical operation.

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