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### 5 Cards in this Set

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 A. Operations and their basic properties * * * B. Order of operations Commutative property Associative property Distributive property Number Systems * * * * * * Number Systems Natural (counting) numbers: ordinary whole numbers generally used to express size of a finite set, or to assign order in a finite sequence (1,2,3…) Whole numbers: includes all the natural numbers as well as zero (0,1,2,3…) Integers: all natural numbers (including zero), together with the negatives of non-zero natural numbers (… -3,-2,-1,0,1,2,3 …) Rational numbers: any number that can be expressed as the quotient or fraction a/b of two integers (b≠0); so it includes all the integers as well as fractions Irrational numbers: any real number that is not rational. It includes pi, non-repeating, Non-terminating decimals and square roots (√2, π, e ….) Real numbers: includes both rational and irrational numbers; can be thought of as points on an infinitely long number line Operations on real numbers: Addition: Like signs Unlike signs Like signs; KEEP THE SAME SIGN 5 + 2 = 7 -4 + (-7) = -11 Unlike signs; **In addition of unlike signed numbers: find absolute value of each, subtract smaller Number from larger value, write sign of the number with larger value 5 + (-3) = 2 Subtraction: Subtraction: Change subtraction symbol to addition Write additive inverse of number being subtracted Use addition rules 6 – 11 = 6 + (-11) = -5 (-3) – 7 = -10 Multiplication: 2 (3) = (3 + 3) = (2 + 2 + 2) = 6 -4 (2) = - (4 + 4) = - (2 + 2 + 2+ 2) = -8 Same signs  (+) product vs. different signs  (-) product ** If there are even number of negative factors  (+) product ** If there are odd number of negative factors  (-) product (-2)(-1) = 2 vs. 3(-2)(-5)(-1) = -30