document.write( "Question 164517: I have been having trouble with unit multipliers, and my algebra teacher isn't very good at explaining them. I have missed them on every test. I had a test today, and it was wrong.
\n" ); document.write( "Here is the problem:
\n" ); document.write( "Convert 710m. to inches. (Go from m to cm to in)
\n" ); document.write( "On the test I tried something like:
\n" ); document.write( "(the dashes represent spaces in between fractions) \r
\n" ); document.write( "\n" ); document.write( "-----1000cm.----1m.-----71000cm.----1in.---------71000(2.54)in
\n" ); document.write( "710•_____x______=_________x_________=________________
\n" ); document.write( "-----1m.--1000cm.----1------2.54cm.----------1 \r
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\n" ); document.write( "\n" ); document.write( "i would just simply like to know:
\n" ); document.write( "(in words) how to do a unit multiplier
\n" ); document.write( "and how to do the test question above.
\n" ); document.write( "thank you. \n" ); document.write( "

Algebra.Com's Answer #121221 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
EDWIN'S SOLUTION:\r
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document.write( "     Start by putting  over :\r\n" );
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document.write( "     Now we want to cancel away the  and bring in\r\n" );
document.write( "     .  We know that .  So there are\r\n" );
document.write( "     two possible unit multipliers which we can make with\r\n" );
document.write( "     that.  We can make the unit multiplier \r\n" );
document.write( "     or the unit multiplier .  The question\r\n" );
document.write( "     is which one do we make.  Since we have  in the\r\n" );
document.write( "     numerator, we must use the unit multiplier which has\r\n" );
document.write( "      in the denominator so the 's will cancel.\r\n" );
document.write( "     So we multiply by .  \r\n" );
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document.write( "     and then the 's cancel, like this\r\n" );
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document.write( "     Now we want to cancel away the  and bring in\r\n" );
document.write( "     .  We know that .  So there are\r\n" );
document.write( "     two possible unit multipliers which we can make with\r\n" );
document.write( "     that.  We can make the unit multiplier \r\n" );
document.write( "     or the unit multiplier .  The question\r\n" );
document.write( "     is which one do we make.  Since we have  in the\r\n" );
document.write( "     numerator, we must use the unit multiplier which has\r\n" );
document.write( "      in the denominator so the 's will cancel.\r\n" );
document.write( "     So we multiply by .  \r\n" );
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document.write( "     Then the 's cancel:\r\n" );
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document.write( "     So we have left:\r\n" );
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document.write( "     Multiply the numerators and the denominators:\r\n" );
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document.write( "     You probably should round that off. Ask your teacher \r\n" );
document.write( "     how he or she wants it rounded.\r\n" );
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document.write( "     Edwin

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