How many positive integers are less than $200\pi$?
To answer this question, I need to know the approximate value of $\pi$, and then round down to the nearest integer. I recall that $\pi \approx 3.14$, so I can multiply that by $200$ to get an estimate of $200\pi$. Using a calculator, I get $200\pi \approx 628.32$. This means that the largest positive integer that is less than $200\pi$ is $628$. Therefore, there are $628$ positive integers that are less than $200\pi$. 