document.write( "Question 1190206: When a number is divided by 9, and the remainder is 6. What is the remainder when six times this number is divided by 9. \n" ); document.write( "

Algebra.Com's Answer #821801 by ikleyn(52793) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " A short version explanation\r
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document.write( "You are given\r\n" );
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document.write( "    n = 9m + 6\r\n" );
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document.write( "(integer number n gives a remainder 6 when divided by 9).\r\n" );
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document.write( "Multiply both sides by 6. You will get\r\n" );
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document.write( "    6n = 6*9*m + 36.\r\n" );
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document.write( "It can be re-written equivalently as\r\n" );
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document.write( "    6n = = 9*(6m + 4),\r\n" );
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document.write( "which illustrates and proves that the number 6n is multiple of 9, i.e. is divisible by 9 with no remainder.\r\n" );
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