Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**atran****Member**- Registered: 2013-07-12
- Posts: 91

Hi;

I read somewhere that division can be defined as multiplying the dividend by the multiplicative inverse of the divisor: a/b = a * 1/b, but the multiplicative inverse is another division problem.

In the forum (/viewtopic.php?id=19823), I was told that partitive division could be re-written as measurement division. How is that done? I want to know why is division the inverse operation of multiplication. Is there a more formal definition?

Thanks for help.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

hi atran,

Real analysis starts with a set of definitions. You'll find these at

http://ramanujan.math.trinity.edu/wtren … ALYSIS.PDF

Axiom E in the first chapter requires the existence of multiplicative inverses.

ie. If a is a real number, then its inverse is 1/a such that

So if

Which is why I have suggested that division is the inverse operation to multiplication.

If

In words, if there are b groups each containing c objects and a objects in total then the following are equivalent:

There is also this:

http://www.wolframalpha.com/input/?i=de … f+division

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

Pages: **1**