The number  167,940   is divisible by  3. Pretend that you a…

The number  167,940   is divisible by  3. Pretend that you are the teacher and CLEARLY explain USING DIVISIBILITY RULES why this is the case to a 5th grader.  Begin your explanation with:    “A number is divisible by 3 if . . . Be very clear.  (Assume that the 5th grader knows nothing about these rules and they need to be taught to them.)

Mrs. Z, a 55 year old female, comes to see you for continued…

Mrs. Z, a 55 year old female, comes to see you for continued sputum-producing cough.  She has the cough and sputum most days and it has been present for the past 3 months.  She states that every year she has this cough for at least 3 months at a time.  She denies fever, N/V/D, or other URI sx.  Her CXR yesterday showed no pneumonia.  In your workup, you find no obvious explanation for her cough.  Her most likely diagnosis is: