SOLUTION: *Use two unit multipliers to change 1,600 square cm to square m.* I'm not sure how to solve this problem, I know what a unit multiplier is but I'm not sure how to use it to solv

SOLUTION: Use two unit multipliers to change 1,600 square cm to square m. I'm not sure how to solve this problem, I know what a unit multiplier is but I'm not sure how to use it to solv

Question 181854: *Use two unit multipliers to change 1,600 square cm to square m.*
I'm not sure how to solve this problem, I know what a unit multiplier is but I'm not sure how to use it to solve this problem. Please show your work/explain how you recived the answer.
Thanks so much
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
1600 cm^2 = 1600cm * 1600cm
One meter = 100 cm, so the unit multiplier is 1m/100cm
To convert the original equation from cm^2 to m^2, you need to use that unit multiplier twice
1600cm^2 =
1600cm * 1600cm =
(1600 cm * 1m/100cm) * (1600 cm * 1m/100cm) =
16m * 16m =
256m^2
Notice that the cm 'units' in the third equation above 'cancel'. When you do physics problems (or something similar) always make sure to use the units in the equations. If the units end up 'being funny' or not making sense, then it is likely that you've made a mistake somewhere in the math.
For instance, if after you do your math, you end up with ft/acre or gallons/ft or some other impossible set of units, check your work. Just a helpful hint from one who has been there:)
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