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# 1 Rational Numbers

### Rational Numbers

Term | Definition |
---|---|

algebraic expression | a mathematical phrase that has at least one variable, and it can contain numbers and operation symbols |

additive inverses | Two numbers with the sum of zero |

bar notation | is used to indicate the digits that repeat in a repeating decimal. The numbers that lie underneath are the numbers that repeat. |

non-terminating | a decimal that continues on infinitely without ending in a sequence of zeros. |

non-repeating | a decimal that continues without terminating and without repeating a sequence of digits. They are not rational numbers. |

repeating | a decimal in which a digit, or a group of digits, repeat(s) infinitely. These are rational numbers. |

terminating | a decimal that has a finite number of digits, meaning that after a finite number of decimal places, all following decimal places have a value of 0. These are rational numbers. |

commutative property | CHANGE ORDER -for any numbers a and b, the product a x b is equal to the product b x a as well as the sum a +b = b+ a. |

associative property | CHANGE GROUPING - for any numbers x, y and z, the product (xy)z = x(yz) as well as the sum x + (y +z)= (x+y) +z. |

distributive property | MULTIPLY ACROSS PARENTHESES states that for any numbers a, b, and c, a(b + c) = ab + ac and a(b - c) = ab - ac. |

rational numbers | the set of numbers that can be written as a/b , where a and b are integers and b does not 0. All Fractions. Decimals that repeat or terminate. Integers. Whole and Natural numbers. |

integer | the set of whole numbers and their opposites {...-3, -1, 0, 3, 6...} |

whole numbers | the set of zero and counting numbers {0, 1, 2, 3, 4...} |

natural numbers | the set of counting numbers {1, 2, 3, 4.....} |

equivalent | expressions that have the same value or meaning |

product | answer to multiplication problem |

sum | answer to addition problem |

difference | answer to subtraction problem |

quotient | answer to division problem |