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# Math 110 week 1

### fall 2007 Math 110 test 1

Question | Answer |
---|---|

Inductive reasoning | general conclusion (conjecture) from repeated observations of specific examples. May or may not be true |

Deductive reasoning | general principals to specific examples |

Natural numbers | Those with which we count discrete objects {1, 2, 3, 4, .....} is the set of natural numbers |

Rational numbers | {x| x is a quotient of two integers, with denominator not equal to 0} (read the part in the braces as “the set of all numbers x such that x is a quotient of two intgers, with denominator not equal to 0) |

Whole numbers | By including 0 in the set we obtain the set of whole numbers {0, 1,2,3,….}is the set of whole numbers |

Irrational numbers | {x|x is a number on the number line that is not rational}is the set of irrational numbers |

Integers | 0 and all whole #’s + & - |{…..-3, -2,-1, 0, 1,2,3…} |Not all #’s r intgers ie ½ is not it is a # ½ way between the intgers 0 & 1 |

Real numbers | {x|x is a number that can be representated by points on the number line} is the set of real numbers |

rational numbers | rational numbers {x| x is a quotient of two integers, with denominator not equal to 0} Can be written as decimal numbers, Any rational number can be written as a decimal that will come to an end (terminate), or repeat in a fixed “block” of digits for ex |

quotient =. | The number obtained by dividing one quantity by another. In 45 ÷ 3 = 15, 15 is the quotient |

irrational nmbers | irrational numbers {x|x is a number on the number line that is not rational}i |

Real numbers | Real numbers {x|x is a number that can be represent Ted by points on the number line} {x|x is a number that can be representated by points on the number line} is the set of real numbers Can be written as decimal numbers, Any rational number can be writte |

1. Consider the set {-5, - , - , -.7, 0, 7.1, 15}. 2. List the elements of the set that belong to each of the following.a. natural numbers whole numbers integers rational numbers - | a. natural numbers{15, 7.1,} b. whole numbers {0, 15, 7,1,} c. integers {1,5, 7,10,-5,}d. rational numbers - |

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garrowcousino