document.write( "Question 598342: A galaxy far, far away is 100 light years across. If a light year is equal to 5,890,000,000,000 miles, how many miles across is this galaxy in scientific notation? \n" ); document.write( "
Algebra.Com's Answer #378546 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "When the number is greater than 1\r\n" ); document.write( "\r\n" ); document.write( "1. Count the digits from the left up to the decimal (whether it's a visible\r\n" ); document.write( " or an invisible decimal). Subtract 1. That will be the exponent of 10.\r\n" ); document.write( "\r\n" ); document.write( "2. Write down the first digit, followed by a decimal and then all the rest of\r\n" ); document.write( " the digits. (You can erase any trailing zeros unless told otherwise)\r\n" ); document.write( "\r\n" ); document.write( "3. After that write \" ×10 \" and then place the exponent from step 1 above\r\n" ); document.write( " the 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let's go through it step by step:\r\n" ); document.write( "\r\n" ); document.write( "5,890,000,000,000 is greater than 1\r\n" ); document.write( "--------------------------------------\r\n" ); document.write( "1. Count the digits from the left up to the decimal (whether it's a visible\r\n" ); document.write( " or an invisible decimal). Subtract 1. That will be the exponent of 10.\r\n" ); document.write( "\r\n" ); document.write( "5,890,000,000,000 has an invisible decimal at the right end, There are\r\n" ); document.write( " \r\n" ); document.write( "13 digits. Subtract 1. That gives 12, So 12 will be the exponent of 10.\r\n" ); document.write( "--------------------------------------\r\n" ); document.write( "2. Write down the first digit, followed by a decimal and then all the rest of\r\n" ); document.write( " the digits. (You can erase any trailing zeros unless told otherwise)\r\n" ); document.write( "\r\n" ); document.write( "5.890000000000 Then we erase the trailing zeros.\r\n" ); document.write( "\r\n" ); document.write( "5.89\r\n" ); document.write( "--------------------------------------\r\n" ); document.write( "3. After that write \" ×10 \" and then place the exponent from step 1 above\r\n" ); document.write( " the 10.\r\n" ); document.write( "\r\n" ); document.write( "5.89×1013\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "=====================================\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |