Difference between revisions of "Rate"

(Rewriting with strategy for rate problems as well as Alcumus problem links.)
m
 
Line 2: Line 2:
  
 
<br>
 
<br>
Unit cancellation is a common strategy used in rate and conversion problems where if there are two instances of a unit written -- one on the numerator and the other on the denominator, then the instances are crossed out.  For instance <math>\frac{60 \text{ kilometers}}{1 \text{ hour}} \cdot 2 \text{ hours} = 120 \text{ kilometers}</math>.
+
Unit cancellation is a common strategy used in rate and conversion problems where if there are two instances of a unit written -- one on the numerator and the other on the denominator, then the instances are crossed out.  For instance, <math>\frac{60 \text{ kilometers}}{1 \text{ hour}} \cdot 2 \text{ hours} = 120 \text{ kilometers}</math>.
  
 
==Problems==
 
==Problems==
 
* Practice Problems on [https://artofproblemsolving.com/alcumus/ Alcumus]
 
* Practice Problems on [https://artofproblemsolving.com/alcumus/ Alcumus]
** Unit Conversions
+
** Unit Conversions (Prealgebra)
** Speed and Other Rates
+
** Speed and Other Rates (Prealgebra)
  
 
[[Category:Definition]]
 
[[Category:Definition]]

Latest revision as of 22:08, 7 September 2020

A rate is a type of ratio where something of one unit is compared with something else of another unit. Rates are applied in many real-world scenarios like unit conversions, speed/velocity, and per-item price.


Unit cancellation is a common strategy used in rate and conversion problems where if there are two instances of a unit written -- one on the numerator and the other on the denominator, then the instances are crossed out. For instance, $\frac{60 \text{ kilometers}}{1 \text{ hour}} \cdot 2 \text{ hours} = 120 \text{ kilometers}$.

Problems

  • Practice Problems on Alcumus
    • Unit Conversions (Prealgebra)
    • Speed and Other Rates (Prealgebra)
Invalid username
Login to AoPS