Some of these conversions have an error. If there is an error, explain the nature of the error and complete the conversion correctly. (I redid all the questions and only the first one looked incorrect to me. Can you look it over and point out any other mistakes? Thank you)
a) 23cm*100cm/1m (I believe the cm and m should be flipped so that it can be cancelled)
b) 5m*1000mm/5m = 5000mm (no errors here?)
c) 7yd*1760mi/1yd = 12320mi (no errors here?)
d) 31ft*12in/1ft = 372in (no errors here?)
always multiply by one (top equal to bottom) so the units come out with the unwanted ones canceling
23 cm * (1 meter / 100 cm)
note cm cancels top and bottom, left with meters
besides we all know 23 cm = 0.23 meters :)
b) NO !!
1000 mm / one meter = one
5 m * (1000 mm / 1 m) = 5000 mm
c) Give me a break. You know surely that a mile is longer
r than a yard !!!
7 yd * (1 mile / 1760 yards) = .003977 mi
d) Yes !!!!!
a) The error in the conversion is that the centimeters and meters should indeed be flipped in order to cancel each other out correctly. To convert from centimeters to meters, you need to divide by 100, not multiply. The correct conversion would be:
23cm * 1m/100cm = 0.23m (centimeters cancel out and you are left with meters)
b) There are no errors in this conversion. 5 meters multiplied by 1000 millimeters per meter gives 5000 millimeters.
c) There are no errors in this conversion. 7 yards multiplied by 1760 yards per mile gives 12320 miles.
d) There are no errors in this conversion. 31 feet multiplied by 12 inches per foot gives 372 inches.