document.write( "Question 409039: I need help on few questions. Thanks\r
\n" ); document.write( "\n" ); document.write( "1. mn=nm
\n" ); document.write( "2. (3r+2)+s=3r+(2+s)
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Algebra.Com's Answer #288042 by MathLover1(20855)\"\" \"About 
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\n" ); document.write( "Basic Number Properties: \r
\n" ); document.write( "\n" ); document.write( "\"Associative\",\"Commutative\", and \"Distributive\"\r
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\n" ); document.write( "\n" ); document.write( "The word \"\"associative\"\" comes from \"associate\" or \"group\";the \"Associative\" Property is the rule that refers to grouping. \r
\n" ); document.write( "\n" ); document.write( "For \"addition\", the rule is \"\"a+%2B+%28b+%2B+c%29+=+%28a+%2B+b%29+%2B+c\"\"; in numbers, this means \"2+%2B+%283+%2B+4%29+=+%282+%2B+3%29+%2B+4\". \r
\n" ); document.write( "\n" ); document.write( "For \"multiplication\", the rule is \"\"a%28bc%29+=+%28ab%29c\"\"; in numbers, this means \"2%283%2A4%29+=+%282%2A3%294\".\r
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\n" ); document.write( "\n" ); document.write( "The word \"\"commutative\"\" comes from \"commute\" or \"move around\", so the \"Commutative\" Property is the one that refers to moving stuff around. \r
\n" ); document.write( "\n" ); document.write( "For addition, the rule is \"\"a+%2B+b+=+b+%2B+a\"\"; in numbers, this means \"2+%2B+3+=+3+%2B+2\". \r
\n" ); document.write( "\n" ); document.write( "For multiplication, the rule is \"\"ab+=+ba\"\"; in numbers, this means \"2%2A3+=+3%2A2\". \r
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\n" ); document.write( "\n" ); document.write( "The \"Distributive\"Property is easy to remember, if you recall that \"multiplication distributes over addition\". Formally, they write this property as \"a%28b+%2B+c%29+=+ab+%2B+ac\". In numbers, this means, that \"2%283+%2B+4%29+=+2%D73+%2B+2%D74\". \r
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\n" ); document.write( "\n" ); document.write( "1.\"+mn=nm\".........here you have the \"Commutative\" Property-the rule for multiplication\r
\n" ); document.write( "\n" ); document.write( "2. \"%283r%2B2%29%2Bs=3r%2B%282%2Bs%29\".....the \"Associative\" Property- the rule for \"addition\"\r
\n" ); document.write( "\n" ); document.write( "3. If \"3x=15\" then \"15=3x\"...the \"Commutative\" Property-the rule for multiplication\r
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