## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

We know that $\frac{1}{3}=0.33333...$ where the "$3$"s repeat indefinitely. Thus, we can say that the two values are not equal: $\frac{1}{3}\neq 0.333$ Furthermore, the fraction $1/3$ is larger because it has more "$3$"s after the decimal (an infinite number). Thus: $\frac{1}{3}\ \gt 0.333$ The fraction is greater than $0.333$ by the following amount: $\frac{1}{3}-0.333\gt0.000333...$