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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. |

Created by:
camzy1231