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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 nonzero 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, nonrepeating, Nonterminating 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 