Question

a sleep medication is available as 0.1 milligram caplets. the patient is advised by his physician to take 400 mcg at bedtime. how many caplets will he take? the patient would take square caplets. (type an integer or a decimal.)

Explanation:

Step1: Convert units to be consistent

First, we know that \(1\) milligram (\(mg\)) is equal to \(1000\) micrograms (\(mcg\)). So, the strength of each caplet is \(0.1\) \(mg\), which is \(0.1\times1000 = 100\) \(mcg\) per caplet.

Step2: Calculate the number of caplets

The patient needs to take \(400\) \(mcg\). To find the number of caplets, we divide the total amount the patient needs to take (\(400\) \(mcg\)) by the amount per caplet (\(100\) \(mcg\) per caplet). So, the number of caplets \(n=\frac{400}{100}\).

Step3: Simplify the division

\(\frac{400}{100}=4\).

Answer:

\(4\)