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# L05_blanks - Day 05 Frac tions 2 Todays Travel Plans...

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1 Day 05 Frac ∙ tions 2 Today’s Travel Plans Integer Division Let’s Break Stuff The many Faces of Fractions Order Properties Rational Numbers Addition Multiplication What Fractions can do that Integers Can’t Some Algebra

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2 3 What did we talk about yesterday? We formally defined the integers as the set of net weights of The integers have all the additive and multiplicative properties of the whole numbers and new properties… a + -a = _____ Subtraction is _______________ with addition of opposites. a ∙ b is positive only if a and b have the __________ sign. a ∙ b is negative only if a and b have the __________ sign. Integers are ordered in the way one would expect and this ordering is compatible with addition and multiplication 4 Division on the Integers Division on the integers is defined the same way it was for whole numbers… a ÷ b = c if and only if a = c ∙ b However, division is still not closed since all the numbers that are not divisible in the whole numbers are also members of the integers, like… Question? Have you ever bitten a part of an m&m off without eating the whole thing?
3 5 Let’s Break Stuff! Sometimes life gives you pieces instead of wholes… sometimes

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## This note was uploaded on 07/23/2011 for the course MGF 1107 taught by Professor Staff during the Fall '08 term at University of Florida.

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L05_blanks - Day 05 Frac tions 2 Todays Travel Plans...

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