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# ATN Vocabulary

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

integers | The whole numbers and their opposites. 0 is an integer, but is neither positive nor negative. |

number sentence | A mathematical statement that gives the relationship between two expressions that are composed of numbers and operation signs. |

opposites | Two numbers whose sum is 0. For example, −3 and 3 are opposites. On a number line, opposites are the same distance from 0 but in different directions from 0. The number 0 is its own opposite. |

rational number | A number that can be written as a quotient of two integers where the denominator is not 0. The decimal representation of a rational number either ends or repeats. |

absolute value | The absolute value of a number is its distance from 0 on a number line. |

additive identity | Zero is the additive identity for rational numbers. Adding zero to any rational number results in a sum identical to the original rational number. |

additive inverses | Two numbers, a and b, that satisfy the equation a+b=0. |

algorithm | A set of rules for performing a procedure. |

Commutative Property | The order of the addition or multiplication of two numbers does not change the result. |

multiplicative identity | The multiplicative identity for rational numbers is 1 or any rational expression equal to 1. Multiplying any rational number by 1 results in a product identical to the original rational number. |

multiplicative inverses | Two numbers, a and b, that satisfy the equation ab=1. |

Distributive Property | A mathematical property used to rewrite expressions involving addition and multiplication. |

expanded form | The form of an expression made up of sums or differences of terms rather than products of factors. |

factored form | The form of an expression made up of products of factors rather than sums or differences of terms. |

Order of Operations | Steps for solving a math problem: 1. Work within parentheses. 2. Write numbers written with exponents in standard form. 3. Do all multiplication and division in order from left to right. 4. Do all addition and subtraction in order from left to right. |