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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 containers of x-mas m&m’s 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 opened a bag of m&m's and gotten a broken one?
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