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8/23 Math Rules
rules, properties, subsets definitions
Question | Answer |
---|---|
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. |