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Start with any number - say x.

Pick any other number which is not 0, say y.

Then, if you multiply x by y and then divide the result by y you will be back to x.

Thus, "multiply by y" followed by "divide by y" is equivalent to do nothing. The first undoes the second.

Also, it works in reverse in the sense that you can divide by y first and multiply by y afterwards.

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Q: What does it mean to say that multiplication and division are inverse operations?
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What does inverse mean in arithmetic?

"opposite" operation. The inverse of subtraction is addition; the inverse operation of multiplication is division.


What does that mean that the operations are inverses of pemdas?

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What does the word inverse operation mean?

An inverse operation is an operation that "undoes" another operation. For example, addition and subtraction are inverse operations, as are multiplication and division. Using inverse operations allows you to reverse the effects of the original operation.


What does the word inverse mean in math terms?

Mathematically, an inverse is an opposite, it is something that reverses what its inverse does, for example, addition and subtraction are inverse functions, as are multiplication and division. The inverse of a fraction is obtained by exchanging numerator and denominator; the inverse of a half is two.


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