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8/23 Math Rules

rules, properties, subsets definitions

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