document.write( "Question 1160816: Find the numeral preceding and succeeding each of the following numerals.
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document.write( "A. 100eight
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document.write( "B. 10000seven
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document.write( "C. 305six \n" );
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Algebra.Com's Answer #784257 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Think about what happens when you add 1 or subtract 1 from 100 in the familiar base 10. \n" ); document.write( "Adding just adds 1 to the units digit. \n" ); document.write( "Subtracting 1 gives 99, because 9 is the largest digit in base 10. \n" ); document.write( "So.... \n" ); document.write( "A. 100 base 8 \n" ); document.write( "The largest digit in base 8 is 7, so \n" ); document.write( "..., 77, 100, 101,... \n" ); document.write( "B. 10000 base 7 \n" ); document.write( "The largest digit in base 7 is 6, so \n" ); document.write( "..., 6666, 10000, 10001, ... \n" ); document.write( "Then think about what happens when you add 1 to 509 in base 10. 9 is the largest digit in base 9, so adding 1 makes the units digit 0, and you \"carry\" a 1 to the next digit to the left: 509 + 1 = 510. \n" ); document.write( "C. 305 base 6 \n" ); document.write( "5 is the largest digit in base 6, so \n" ); document.write( "..., 304, 305, 310, ... \n" ); document.write( " \n" ); document.write( " |