document.write( "Question 23946: How do I use two unit multipliers to convert 300 inches to meters? \n" ); document.write( "
Algebra.Com's Answer #12654 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
How do I use two unit multipliers to convert 300 inches to meters?\r\n" );
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document.write( "We will go from inches to centimeters to meters\r\n" );
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document.write( "Start with 100 in written as a fraction with 1 denominator:\r\n" );
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document.write( " 100 in\r\n" );
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document.write( "    1\r\n" );
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document.write( "Now we wish to cancel away the inches and bring in cemtimeters.\r\n" );
document.write( "We know that 2.54 centimeters = 1 inch, so we make a unit \r\n" );
document.write( "multiplier fraction out of that putting inches on the bottom\r\n" );
document.write( "and centimeters on the top, so they will cancel.  So now we have\r\n" );
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document.write( " 100 in     2.54 cm\r\n" );
document.write( "———————— × —————————  \r\n" );
document.write( "    1         1 in\r\n" );
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document.write( "Now we will be able to cancel the inches like this\r\n" );
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document.write( " 100 in     2.54 cm\r\n" );
document.write( "———————— × —————————  \r\n" );
document.write( "    1         1 in\r\n" );
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document.write( "Now we wish to cancel away the centimeters and bring in meters.\r\n" );
document.write( "We know that 100 centimeters = 1 meter, so we make a unit \r\n" );
document.write( "multiplier fraction out of that putting centimeters on the bottom\r\n" );
document.write( "and meters on the top, so they will cancel.  So now we have\r\n" );
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document.write( " 100 in     2.54 cm       1 m\r\n" );
document.write( "———————— × ————————— × ————————  \r\n" );
document.write( "    1         1 in      100 cm\r\n" );
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document.write( "Now when we do all the cancelling\r\n" );
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document.write( " 100 in     2.54 cm       1 m\r\n" );
document.write( "———————— × ————————— × ————————  \r\n" );
document.write( "    1         1 in      100 cm\r\n" );
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document.write( "Now it just so happens that the 100's cancel too:\r\n" );
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document.write( " 100 in     2.54 cm       1 m\r\n" );
document.write( "———————— × ————————— × ————————  \r\n" );
document.write( "    1         1 in      100 cm\r\n" );
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document.write( "So we end up with \r\n" );
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document.write( "2.54 meters\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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