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MACM 101 Lecture 25: Lecture 25 Part 1_ Integers

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browncricket987

21 Dec 2018

School

Simon Fraser University

Department

Math & Comp Sci

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Professor

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Document Summary

God made the integers; all else is the work of man . Most of useful properties of integers are related to division. If a and b are integers with a 0, we say that a divides b if there is an integer c such that. When a divides b we say that a is a divisor (factor) of b, and that b is a multiple of a. The notation a | b denotes that a divides b. We write a | b when a does not divide b. The numbers in question have the form dk, where k is a positive integer and 0 < dk n. Proof. (i) suppose a | b and a | c. this means that there are k and m such that b = ak and c = am. Then b + c = ak + am = a(k + m), and a divides b + c.

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Related Questions

Please, I need help on #2, part a,b, and c. Thank you.

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