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Line 1: − + + − *3 times 2 = 2 added three times = 2 + 2 + 2 = 6. + − This also works the other way: − *2 times 3 = 3 added two times = 3 + 3 = 6. − 2 x 3 = 3 x 2, regardless of the order of the operands. It is said that multiplication is [[commutative]]. − + + + + + + + + + + + + − In printed material, slightly different symbols are used for the letter x and the multiplication symbol ×. Sometimes, in mathematics, a centered dot is used to stand for multiplication: − :3 · 2 − :a · b − :6.022 ·10<sup>23</sup> − In algebra, quantities may simply be juxtaposed (written next to each other) without any symbols, to indicate multiplication. In this expression, 2ab means 2 times ''a'' times ''b''. − :a<sup>2</sup> + 2ab + b<sup>2</sup> − + − +
Recat
'''Multiplication''' is a mathematical operation. Multiplication of positive integers is the same as repeated addition. You multiply two numbers together; that is, multiplication is always performed on two ''operands,'' which in this case are known as the ''multiplicand'' and the ''multiplier.'' The result is a third number, the ''product.''
In its most elementary form '''multiplication''' is the repeated [[addition]] of [[whole numbers]] or [[integers]].
:For example, <big><math>3\times 2 = 2 + 2 + 2 = 6</math></big>
The result of a multiplication is the ''product''. The numbers which are multiplied together are called ''factors''.
Multiplication is sometimes confusing because the symbol for multiplication is very similar to the letter x; but the letter x can also stand for a variable in algebra, as in "solve for x."
In this context, it is also one of the most well-known [[commutative]] operations: It yields the same result, regardless of placement of numbers.
:For example <big><math>3\times 2 = 2\times 3</math></big>.
Multiplication also possesses the [[associative property of multiplication|associative property]].
The opposite of multiplication is [[division]].
== Properties of Multiplication ==
* Multiplying any number by 1 yields that same number again. E.g. <math>8\times 1 = 1</math>
* Multiplying any number by 0 yields 0. E.g. <math>7\times 0 = 0</math>
==See also==
==See also==
*[[Multiplication Property of Equality]]
*[[Multiplication Property of Equality]]
*[[Math]]
*[[Arithmetic]]
[[Category:Algebra]]
[[Category:Arithmetic]]