MATH 111 Study Guide - Natural Number, Integer Factorization, Prime Number

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4. 1 integers and operations of addition and subtraction. Negative integers are opposites of positive integers, & vice versa ie/ the opposite of 2 is -2, and the opposite -3 is 3. 4. 1. 4 charged-field model for addition a field has 0 charges if it has the same number of positive & negative charges ie/ 5 + (-5) = 0. 4. 1. 6 properties of integer addition closure property of addition of integers: given integers a and b, a + b is a unique integer. 4. 1. 7 integer subtraction subtraction: for integers a and b, a b is the unique integer n such that a = b + n for all integers a and b, a b = a + (-b) = ab ac and (b c)a = ba ca. 4. 2. 2 integer division integer division: if a and b are any integers a b is the unique integer c, if it exists, such that a = bc.

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