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Summer II 2014 Hunnell Section 11.3 Examples Example 1: Recall that a rational number is a number that can be expressed in the form a , where a, b are integers and b 6= 0. Every b number with a terminating or repeating decimal expansion is a rational number. 1. Use knowledge of geometric series to express the number 0.512 as the ratio of two integers. 2. Do the same for 0.113 (This one is trickier). 1 Example 2: Drug Therapy For most medications, the rate at which a person’s body eliminates an applied medication is proportional to how much of the drug is in the person’s system. Suppose a patient receives 2 mg of a certain drug each day and that the body will eliminate 25% of the amount present in the system each day. Estimate the total amount of the drug that will be present after extended treatment, immediately after a dose is given. 2