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Motivating Problem. McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly? . Day 1 Agenda. Find Seats Syllabus First Day Survey Quick Numbers Review McNuggets Problem.

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## Motivating Problem

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**Motivating Problem**• McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly?**Day 1 Agenda**• Find Seats • Syllabus • First Day Survey • Quick Numbers Review • McNuggets Problem**Suggested: Humongous Book of Calculus Problems**Kelly, W. (2006). Humongous book of calculus problems: Translated for people who don’t speak math. New York, NY: Alpha. (ISBN: 9781592575121)**Numbers**• Integers – The set of positive whole numbers, Negative Whole Numbers, and Zero • Rationals — The set of fractions with integer numerators and denominators (i.e. all terminating and repeating decimals) • Irrationals – The set of numbers which are not Rational • Reals– The set of all rational and irrational numbers**Examples**• Integers – 0, -1, 12, 25, -100 • Rationals – • Irrationals – • Reals –**Fake (non-real) Numbers**• Imaginary Numbers • Complex Numbers • Surreal Numbers • Affinely Extended Real Numbers**Importance of Real numbers**• Precalculus is a study of real numbers • (definition) The set of numbers in Dedekind-complete ordered fields [you don’t really need to know this]**Motivating Problem**• McDonalds’s sells McNuggets in boxes of 6, 9, and 20. What is the greatest number of McNuggets that you cannot order exactly?**Reflection on McNuggets**• How large a number did you think the answer would be when you first started the problem? • What barriers did you run into at the beginning? How did you overcome those? • What formula did you use to find the answer? Do all problems have a formula?

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