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document.write( "Discussion
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document.write( "Association means 'getting together' -- when you go to a party, you associate
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document.write( "with people. Addition and multiplication are binary processes by nature,
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document.write( "that is, you can only add or multiply (and by extension, subtract and divide)
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document.write( "two numbers at a time. So if you have more than two numbers to add, or more
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document.write( "than two numbers to multiply, you have to start by selecting two to
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document.write( "\"associate.\" The Associative Property says it doesn't matter which pair of
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document.write( "numbers you choose.\r
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document.write( "Associative Property of Addition:
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. In words: you can add a to b first and then add the
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document.write( "result to c, or you can add b to c first, and then add that result to a.
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document.write( "Either way, you get the same answer no matter what the numbers are.\r
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document.write( "Associative Property of Multiplication:
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. In words: you can multiply a and b first and then multiply
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document.write( "the result by c, or you can multiply b and c first, and then multiply that result by a.
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document.write( "Either way, you get the same answer no matter what the numbers
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document.write( "are.\r
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document.write( "You don't need separate properties for subtraction or division because
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document.write( "subtraction is simply adding the negative of a number and division is
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document.write( "multiplication by the reciprocal.\r
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document.write( "Commute means to travel back and forth. Mathematically, it relates to the
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document.write( "order in which you add or multiply two numbers. The commutative property
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document.write( "says it doesn't matter which number comes first:\r
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document.write( "Commutative Property of Addition:
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.\r
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document.write( "Commutative Property of Multiplication:
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. \r
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