document.write( "Question 992184: the number 1358*16, where * represents a digit, is exactly
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Algebra.Com's Answer #611800 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Pay no attention to Mr. Grouchy Grumpypants :)\r\n" );
document.write( "above. I knew exactly what you meant.  I \r\n" );
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document.write( "1358*16\r\n" );
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document.write( "Let the digit represented by * be N\r\n" );
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document.write( "Then 1358*16 = 1358000 + 100N + 16\r\n" );
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document.write( "When we divide that by 11 we must get an \r\n" );
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document.write( " must equal an \r\n" );
document.write( "integer, say integer I\r\n" );
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document.write( "Since , the \r\n" );
document.write( "largest multiple of 11 that does not exceed \r\n" );
document.write( "1358000 is 123454×11 or 1357994, and since\r\n" );
document.write( "1358000-1357994 = 6 we write 1358000 as \r\n" );
document.write( "1357994+6.\r\n" );
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document.write( "Since the largest multiple of 11 that does not \r\n" );
document.write( "exceed 100 is 99, we write 100N as 99N+N.\r\n" );
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document.write( "Since the largest multiple of 11 that does \r\n" );
document.write( "not exceed 16 is 11, we write 16 as 11+5\r\n" );
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document.write( "Leave the fractions on the left, move the \r\n" );
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document.write( "The right side is an integer so the left side \r\n" );
document.write( "must be too.\r\n" );
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document.write( "The only digit that will cause the left side \r\n" );
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document.write( "N = 0\r\n" );
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document.write( "So the asterisk * must represent 0.\r\n" );
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document.write( "Checking:  When we divide 1358016 by 11 we \r\n" );
document.write( "get 123456\r\n" );
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document.write( "Edwin

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