Difference between revisions of "Multiplication"

Latest revision as of 13:37, March 26, 2017

In its most elementary form multiplication is the repeated addition of whole numbers or integers.

For example, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3\times 2 = 2 + 2 + 2 = 6}

The result of a multiplication is the product. The numbers which are multiplied together are called factors.

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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3\times 2 = 2\times 3} .

Multiplication also possesses the associative property.

The opposite of multiplication is division.

Properties of Multiplication

Multiplying any number by 1 yields that same number again. E.g. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 8\times 1 = 1}
Multiplying any number by 0 yields 0. E.g. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 7\times 0 = 0}

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-'''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>
-*3 times 2 = 2 added three times = 2 + 2 + 2 =  6.
+The result of a multiplication is the ''product''. The numbers which are multiplied together are called ''factors''.
-This also works the other way:
-*2 times 3 = 3 added two times = 3 + 3 = 6.
-x 3 = 3 x 2, regardless of the order of the operands. It is said that multiplication is [[commutative]].
-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>
-In printed material, slightly different symbols are used for the letter x and the multiplication symbol &times;. Sometimes, in mathematics, a centered dot is used to stand for multiplication:
-:3 &middot; 2
-:a &middot; b
-:6.022 &middot;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>
 ==See also==
 *[[Multiplication Property of Equality]]
-*[[Math]]
+*[[Arithmetic]]
-[[Category:Algebra]]
+[[Category:Arithmetic]]