## Precalculus (6th Edition) Blitzer

The word “rational” in mathematics is such that the number is expressed in the form $\frac{p}{q}$, where $p$, $q$ are integers and $q\ne 0$. The word “real” in mathematics is such that the number terminates after a limited number of digits or the number repeats the same finite sequence of digits. The word “rational” in everyday speech is to be logical or reasonable. The word “real” in everyday speech is such that the thing actually exists. Therefore, the provided statement makes sense.