document.write( "Question 609908: What is 453 base 7 times 4 base 7?
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Algebra.Com's Answer #384100 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
This problem can be done two ways:

Convert the base 7 numbers to base ten, multiply and then convert back to base 7; or
Try to do base 7 multiplication.

I'm going to do the second one. The key is to carry when you get 7 or more instead of 10 or more when you multiply:
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document.write( "  453\r\n" );
document.write( "x   4\r\n" );
document.write( "-----\r\n" );
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document.write( "4 x 3 is twelve which is a seven with 5 left over:\r\n" );
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document.write( "   1\r\n" );
document.write( "  453\r\n" );
document.write( "x   4\r\n" );
document.write( "-----\r\n" );
document.write( "    5\r\n" );
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document.write( "4 x 5 is twenty which is two sevens with 6 left over:\r\n" );
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document.write( "  21\r\n" );
document.write( "  453\r\n" );
document.write( "x   4\r\n" );
document.write( "-----\r\n" );
document.write( "   65\r\n" );
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document.write( "4 x 4 is sixteen which is 2 sevens with 2 left over:\r\n" );
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document.write( " 221\r\n" );
document.write( "  453\r\n" );
document.write( "x   4\r\n" );
document.write( "-----\r\n" );
document.write( " 2265\r\n" );
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\n" ); document.write( "So 453 base 7 times 4 base 7 is 2265 base 7 \n" ); document.write( "

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