1. origin | | __. way to group 3 multiplied numbers doesn't matter |

2. absolute value | | __. real number is the distance from origin to the pt. |

3. commutative property of addition | | __. zero on the number line |

4. associative property of addition | | __. adding the opposite to the number gives a zero |

5. identity property of addition | | __. a number times -1 is the opposite number. |

6. property of zero (inverse) | | __. any number times 0 is just 0. |

7. commutative property of multiplication | | __. any number times 1 is the number. |

8. associative property of multiplication | | __. the ordering of 2 numbers doesn't change the answer |

9. identity property of multiplication | | __. subtract number then add it's opposite such as 3-5 = 3 + -5. |

10. property of zero of multiplication | | __. grouping 3 numbers doesn't change the answer. |

11. property of opposites of multiplication | | __. the order of two multiplied number doesn't matter |

12. subtraction rule | | __. adding a number and 0 the sum is the number |