Actes Du Congres International Des Mathematiciens: 1/10 by Comité d'Organisation du Congrès

By Comité d'Organisation du Congrès

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Step 3 Read across to the corresponding age on the vertical axis. The age is 22. Thus, in 1980, women in the United States married for the first time at an average age of 22. S. S. college students who smoked cigarettes from 1982 through 2010. a. Find an estimate for the percentage of college students who smoked cigarettes in 2010. Percent of College Students Age 24 32% 28% 24% 20% 16% 12% 8% 4% 1982 1986 1990 1994 1998 2002 2006 2010 Year F i g u r e ​ 1 . 7 Source: Rebecca Donatelle, Health The Basics, 10th Edition, Pearson, 2013.

The word induce comes from a Latin term meaning to lead. Explain what leading has to do with inductive reasoning. 64. Describe what is meant by deductive reasoning. Give an example. 65. Give an example of a decision that you made recently in which the method of reasoning you used to reach the decision was induction. Describe your reasoning process. Critical Thinking Exercises Make Sense? In Exercises 66–69, determine whether each statement makes sense or does not make sense, and explain your reasoning.

46. Select a number. Add 3. Double the result. Add 4. Divide by 2. Subtract the original selected number. In Exercises 47–52, use inductive reasoning to predict the next line in each sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct. 47. 2 * 2 3 * 1 + 2 + 3 = 2 4 * 1 + 2 + 3 + 4 = 2 5 * 1 + 2 + 3 + 4 + 5 = 2 1 + 2 = 3 4 5 6 12 ​ ​C ha p t er 1 ​ ​ ​Problem Solving and Critical Thinking 48. 6 * 3 2 9 * 4 3 + 6 + 9 = 2 12 * 5 3 + 6 + 9 + 12 = 2 15 * 6 3 + 6 + 9 + 12 + 15 = 2 3 + 6 = 49.

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