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November 3rd, 2015, 06:21 AM  #1 
Member Joined: Sep 2013 Posts: 93 Thanks: 2  Is the units of speed an ordered set?
Hi There was a question where the asker wanted to know which of km/h and m/s is greater. If I'm right,this question makes sense only if the units of speed create an ordered set. 
November 3rd, 2015, 06:40 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,700 Thanks: 2682 Math Focus: Mainly analysis and algebra 
Units are not values. That is not to say that you can't order them, but we don't usually. However, a speed $v$ in km/h is equal to $\frac{1000}{3600}v$ m/s because there are 1000m in a km and 3600s in an hour. So representing the speed in km/h gives a smaller number than representing it in m/s. 

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ordered, set, speed, units 
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