Difference between revisions of "Multiplication"

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(we don't need the "spoken as" there - this is reference, not "math for dummies")
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In its most elementary form '''multiplication''' is repeated [[addition]] of [[whole numbers]] or [[integers]].  
 
In its most elementary form '''multiplication''' is repeated [[addition]] of [[whole numbers]] or [[integers]].  
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:For example, <big><math>2\times 3 = 2 + 2 + 2</math></big> is the sum of 2 + 2 + 2.
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:For example, <big><math>2\times 3 = 2 + 2 + 2</math></big>
 
In this example the numbers "2" and "3" are known as the ''[[factor]]s'' and the result of a multiplication is known as the ''[[product]]''.
 
In this example the numbers "2" and "3" are known as the ''[[factor]]s'' and the result of a multiplication is known as the ''[[product]]''.
  

Revision as of 12:02, September 3, 2008

In its most elementary form multiplication is 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 2\times 3 = 2 + 2 + 2}

In this example the numbers "2" and "3" are known as the factors and the result of a multiplication is known as the product.

Multiplication is a commutative operation in that A 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 \times} B = B 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 \times} A.

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 } (spoken as "three times two") is the sum of 3 + 3 = 6.

Symbol

Several conventions are used to indicate multiplication.

  • For simple numbers, the symbol () used looks much like the letter "X", as in the examples above.
  • Since the "X" looks like a letter, and letters are commonly used in algebra to indicate unknowns, or variables, the "dot" is frequently used: A &#149; B = B &#149; A.
  • Alternatively a period may be used to denote multiplication
  • Also, in algebraic use, quantities are simply juxtaposed to indicate that they are to be multiplied:
Y = 3aX + 4bZ

See also