Purpose of the Negative Sign in the Price Elasticity of Demand Formula
Due to the law of demand, an increase in price results in a decrease in quantity demanded, making the ratio of their percentage changes inherently negative. The standard formula for price elasticity of demand includes a leading negative sign by convention. This sign serves to convert the negative ratio into a positive number, which simplifies the interpretation of elasticity as a measure of responsiveness.
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Purpose of the Negative Sign in the Price Elasticity of Demand Formula