AoPSWiki

Support local problem solving programs by contributing to the Art of Problem Solving Foundation.
Click here for more information about the Foundation.

Personal tools

Log in

Search

Toolbox

Common Multiplication

From AoPSWiki

(Redirected from Ordinary Multiplication)

In ordinary arithmetic, multiplication is an arithmetic operation. The result of multiplying is the product. If one of the numbers is a whole number, multiplication is the repeated sum of that number. For example, $4\times3=4+4+4=12$ . The inverse of multiplication is division.

To multiply fractions, the numerators and denominators are multiplied: $\frac{a}{c}\times\frac{b}{d}=\frac{a\times b}{c\times d}=\frac{ab}{cd}$ .

Properties

Commutative property: $a\times b=b\times a$
Associative property: $a\times(b\times c)=(a\times b)\times c$
Distributive property: $a\times(b+c)=ab+ac$
Zero property: $a\times0=0$
Identity property: $a\times1=a$
Inverse property: For any $x\neq0$ , $x\times\frac{1}{x}=1$

This article is a stub. Help us out by expanding it.

Retrieved from "http://www.artofproblemsolving.com/Wiki/index.php/Common_Multiplication"

Categories: Stubs | Operation

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

© Copyright 2008 AoPS Incorporated. All Rights Reserved. • Foundation • Privacy • Contact Us