document.write( "Question 241374: The speed of sound is 186,000 mi/sec Convert into inches per year. I'm asking because my calculator can't handle the big number. Thanks. \n" ); document.write( "
Algebra.Com's Answer #176780 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
\"%28186000mi%29%2F%28sec%29\"
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document.write( "We will take the miles to feet to inches,\r\n" );
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document.write( "\"%28186000mi%29%2F%28sec%29\"\"%22%D7%22\"\"%285280ft%29%2F%281mi%29\"\"%22%2A%22\"\"%2812in%29%2F%281ft%29\"\r\n" );
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document.write( "and we will take the seconds to minutes to hours to days to years\r\n" );
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document.write( "\"%28186000mi%29%2F%28sec%29\"\"%22%D7%22\"\"%285280ft%29%2F%281mi%29\"\"%22%2A%22\"\"%2812in%29%2F%281ft%29\"\"%22%D7%22\"\"%2860sec%29%2F%281min%29\"\"%22%D7%22\"\"%2860min%29%2F%281hr%29\"\"%22%D7%22\"\"%2824hr%29%2F%281da%29\"\"%22%D7%22\"\"%28365.25da%29%2F%281yr%29\"\r\n" );
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document.write( "Cancelling units which are in a numerator and a denominator:\r\n" );
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document.write( "\"%28186000cross%28mi%29%29%2F%28sec%29\"\"%22%D7%22\"\"%285280cross%28ft%29%29%2F%281cross%28mi%29%29\"\"%22%2A%22\"\"%2812in%29%2F%281cross%28ft%29%29\"\"%22%D7%22\"\"%2860cross%28sec%29%29%2F%281cross%28min%29%29\"\"%22%D7%22\"\"%2860cross%28min%29%29%2F%281cross%28hr%29%29\"\"%22%D7%22\"\"%2824cross%28hr%29%29%2F%281cross%28da%29%29\"\"%22%D7%22\"\"%28365.25cross%28da%29%29%2F%281yr%29\"\r\n" );
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document.write( "\"186000%2A5280%2A12%2A60%2A60%2A24%2A365.25\"\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "Change everything to scientific notation:\r\n" );
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document.write( "\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "Group the numbers for multiplication and the exponents of 10\r\n" );
document.write( "for addition:\r\n" );
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document.write( "\"%281.86%29%285.28%29%286%29%286%29%282%29%283.6525%29%2A10%5E%285%2B3%2B1%2B1%2B1%2B2%29\"\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "Now your calculator can make the multiplication of those numbers:\r\n" );
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document.write( "\"2582.673984%2A10%5E13\"\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "Next we change \"2582.673984\" to scientific notation \"2.582673984%2A10%5E3\"\r\n" );
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document.write( "and we have:\r\n" );
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document.write( "\"2.582673984%2A10%5E3%2A10%5E13\"\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "And we add those powers of 10\r\n" );
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document.write( "\"2.582673984%2A10%5E16\"\"%28in%29%2F%28yr%29\"\r\n" );
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document.write( "With scientific notation your calculator can handle\r\n" );
document.write( "all numbers regardless of how large.\r\n" );
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document.write( "Edwin
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