document.write( "Question 1172855: Whats the number in standard form?
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document.write( "#1. 3.41x10^7 #2. 4.05x10^-4
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document.write( "And what is 6,500,000,000 in scientific notation \n" );
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Algebra.Com's Answer #797997 by Theo(13342)![]() ![]() You can put this solution on YOUR website! to convert 3.41 * 10^7 to standard form, you are moving the decimal point to the right 7 places. \n" ); document.write( "that gets you 34,100,000. \n" ); document.write( "moving the decimal point 7 places to the right can be viewed as: \n" ); document.write( "moving it 2 places to the right to get 341 * 10^5 and then adding five 0's to get 34,100,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to convert 4.05 * 10^-4 to standard form, move the decimal point to the left 4 places. \n" ); document.write( "move it to the left 1 place and it becomes .405 * 10^-3 \n" ); document.write( "move it to left 3 more places and it becomes .000405\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to convert 6,500,000,000 to scientific notation, you want to move the decimal point to the left so that it will be just to the right of the first significant digit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order to dot that, you have to move it to the left 9 places (the commas don't count as a space - remove them before doing the move. \n" ); document.write( "you get 6500000000. before moving. \n" ); document.write( "you get 6.5 * 10^9 after moving.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "how do you know you did it right? \n" ); document.write( "use your calculator to divide the scientific form by the standard form. \n" ); document.write( "you should get 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.41 * 10^7 / 34100000 = 1, so that was good. \n" ); document.write( "4.05 * 10^-4 / .000405 = 1, so that was good. \n" ); document.write( "6.5 * 10^9 / 6500000000 = 1, so that was good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you try to do it the other way (dividing the standard form by the scientific form), you will need to use parentheses.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "34100000 / 3.41 * 10^7 will get you 1 * 10^12. \n" ); document.write( "this is not what what you expected. \n" ); document.write( "but, 34100000 / (3.41 * 10^7) will get you 1. \n" ); document.write( "this is what you expected.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |