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rules, properties, subsets definitions

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Question
Answer
What two types of numbers do Real Numbers consist of?   Rational Numbers and Irrational Numbers  
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What are the two subsets of rational numbers?   Whole numbers and integers  
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Rational Numbers   -can be written as quotients of integers -can be written as decimals that terminate or repeat  
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Irrational Numbers   -cannot be written as quotients of integers -cannot be written as decimals that terminate or repeat  
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Closure Property (Addition)   a+b is a real number  
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Closure Property (Multiplication)   ab is a real number  
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Communtative Property (Addition)   a+b = b+a  
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Communtative Property (Multiplication)   ab=ba  
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Associative Property (Addition)   (a+b)+c=a+(b+c)  
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Associative Property (Multiplication)   (ab)c=a(bc)  
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Identity (Addition)   a+0=a,0+a=a  
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Identity (Multiplication)   a*1=a, 1*a=a  
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Inverse (Addition)   a+(-a)=0  
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Inverse (Multiplication)   a*(1/a)=1, a is not equal to 0  
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Distributive   a(b+c)=ab+ac  
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Subtraction   Adding the opposite; a-b=a+(-b)  
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What is the Opposite/ Addative Inverse of any number?   b is -b; If b is positive, -b is negative. If b is negative, -b is positive  
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Division   multiplying by the reciprocal; a/b=a*1/b, b is not equal to 0  
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What is the Reciprocal/Multiplicative Inverse of any nonzero number b?   1/b.  
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Created by: camzy1231
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