Examples:  Convert Lengths Between the Standard and Metric System
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– WE WANT TO CONVERT
THE FOLLOWING MEASUREMENTS BETWEEN AMERICAN OR STANDARD
INTO METRIC SYSTEM. HERE WE WANT TO CONVERT
16 INCHES INTO CENTIMETERS AND WE’LL DO THIS
BY MULTIPLYING BY UNIT FRACTION. SO WE’LL START BY PUTTING
16 INCHES IN FRACTION FORM. SO WE’LL PUT THIS OVER 1, AND NOW WE’LL MULTIPLY
BY A UNIT FRACTION BY USING A CONVERSION
FROM OUR TABLE. NOTICE HOW THIS FIRST ROW
GIVES US A CONVERSION FROM INCHES TO CENTIMETERS. AND SINCE WE’RE CONVERTING
THE CENTIMETERS WE DON’T WANT INCHES
IN OUR ANSWER SO WE’RE GOING TO PUT INCHES
IN THE DENOMINATOR AND CENTIMETERS
IN THE NUMERATOR. NOTICE HOW INCHES
WILL SIMPLIFY OUT. AND THE CONVERSION IS
1 IN=2.540 CM. AND SO NOW THE INCHES
SIMPLIFY OUT, THIS PRODUCT WILL GIVE US
AN APPROXIMATION FOR THE NUMBER OF CENTIMETERS
IN 16 INCHES. SO WE HAVE 16 x 2.540, AND THE DIRECTIONS TELL US
TO ROUND TO THE NEAREST TENTH. SO THIS WILL BE
APPROXIMATELY 40.6 CM. IN THE SECOND EXAMPLE, WE WANT TO CONVERT
25 METERS TO FEET. NOTICE HOW FOR THIS CONVERSION
WE ACTUALLY HAVE TWO CHOICES. WE COULD USE
THIS CONVERSION HERE THAT CONVERTS ONE FOOT TO METERS OR WE HAVE THIS CONVERSION HERE
THAT CONVERTS ONE METER TO FEET. IT DOESN’T MATTER
WHICH ONE WE USE, IT JUST DEPENDS ON HOW WE SET IT
UP WITH OUR UNIT FRACTION. SO LET’S WRITE 25 METERS
AS A FRACTION. NOW, WE DO HAVE TO HAVE
METERS IN THE DENOMINATOR IF WE WANT THEM TO SIMPLIFY OUT. AND WE’LL HAVE FEET
IN THE NUMERATOR. AND SINCE NORMALLY WE PREFER
TO MULTIPLY RATHER THAN DIVIDE, I’M GOING TO USE THIS CONVERSION
HERE THAT SAYS 1 METER IS APPROXIMATELY
EQUAL TO 3.281 FEET. IF I USE THIS CONVERSION HERE, NOTICE HOW WE’D HAVE
THE DECIMAL IN THE DENOMINATOR, WHICH WILL BE FINE
IF WE’RE USING A CALCULATOR. BUT IF WE WERE DOING
THIS BY HAND, WE WOULD DEFINITELY
PREFER TO MULTIPLY. NOTICE HOW THE METERS
SIMPLIFY OUT. WE’LL GO BACK TO THE CALCULATOR
AND WE HAVE 25 x 3.281. SO 25 METERS
IS APPROXIMATELY 82.0 FEET, ROUNDED TO THE NEAREST TENTH.

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