document.write( "Question 123234: i'm having trouble remembering which is associative and commutative properties.
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Algebra.Com's Answer #90414 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "Association means 'getting together' -- when you go to a party, you associate
\n" ); document.write( "with people. Addition and multiplication are binary processes by nature,
\n" ); document.write( "that is, you can only add or multiply (and by extension, subtract and divide)
\n" ); document.write( "two numbers at a time. So if you have more than two numbers to add, or more
\n" ); document.write( "than two numbers to multiply, you have to start by selecting two to
\n" ); document.write( "\"associate.\" The Associative Property says it doesn't matter which pair of
\n" ); document.write( "numbers you choose.\r
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\n" ); document.write( "\n" ); document.write( "Associative Property of Addition:
\n" ); document.write( "\"%28a+%2B+b%29%2Bc=a%2B%28b%2Bc%29\". In words: you can add a to b first and then add the
\n" ); document.write( "result to c, or you can add b to c first, and then add that result to a.
\n" ); document.write( "Either way, you get the same answer no matter what the numbers are.\r
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\n" ); document.write( "\n" ); document.write( "Associative Property of Multiplication:
\n" ); document.write( "\"%28ab%29c=a%28bc%29\". In words: you can multiply a and b first and then multiply
\n" ); document.write( "the result by c, or you can multiply b and c first, and then multiply that result by a.
\n" ); document.write( "Either way, you get the same answer no matter what the numbers
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\n" ); document.write( "\n" ); document.write( "You don't need separate properties for subtraction or division because
\n" ); document.write( "subtraction is simply adding the negative of a number and division is
\n" ); document.write( "multiplication by the reciprocal.\r
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\n" ); document.write( "\n" ); document.write( "Commute means to travel back and forth. Mathematically, it relates to the
\n" ); document.write( "order in which you add or multiply two numbers. The commutative property
\n" ); document.write( "says it doesn't matter which number comes first:\r
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\n" ); document.write( "\n" ); document.write( "Commutative Property of Addition:
\n" ); document.write( "\"a%2Bb=b%2Ba\".\r
\n" ); document.write( "\n" ); document.write( "Commutative Property of Multiplication:
\n" ); document.write( "\"ab=ba\". \r
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