document.write( "Question 337816: What is the greatest number of digits possible in the product of a 2 digit number times a three digit number? What is the product? \n" ); document.write( "
Algebra.Com's Answer #242193 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can simply multiply 99 times 999 to get 98901 which has 5 digits. Since that is the product of the largest 2 digit number and the largest three digit number, you know that such a product cannot have more than 5 digits. I suspect, however, that when you asked \"what is the product\" you really meant what is the least such product -- that is what are the two digit and three digit numbers which product is 10000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factors of 10000 are 2 times 2 times 2 times 2 time 5 times 5 times 5 times 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 X 625 = 10000 \n" ); document.write( "20 X 500 = 10000 \n" ); document.write( "25 X 400 = 10000 \n" ); document.write( "40 X 250 = 10000 \n" ); document.write( "50 X 200 = 10000 \n" ); document.write( "80 X 125 = 10000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " |