Math Is Fun Forum

rune2402

Banned

Registered: 2007-10-23

Posts: 32

When applied to the integers, multiplication is distributive over divi

Is this true:

When applied to the integers, multiplication is distributive over division.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: When applied to the integers, multiplication is distributive over divi

a(b/c) = ab / ac?

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

rune2402

Banned

Registered: 2007-10-23

Posts: 32

Re: When applied to the integers, multiplication is distributive over divi

Hmm. Ehhe! That's great. However, I think as a general rule the answer would be no. However, I believe multiplication is distributive over addition:

   a · (b + c) = (a · b) + (a · c)

   a + (b · c) = (a + b) · (a + c)

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: When applied to the integers, multiplication is distributive over divi

Yes, multiplication is distributive over addition. But addition is not distributive over multiplication! What are thinking of?

rune2402

Banned

Registered: 2007-10-23

Posts: 32

Re: When applied to the integers, multiplication is distributive over divi

Wow! Thank you jane. You are always so faithful to math. is that a picture of you?Wow!