Inverse Property of Addition / Multiplication

- Inverse Property of Addition (InversePA)
- When you add opposites
you always end up with zero. Opposites always cancel each other out.
(The additive inverse of a number is its opposite.)
Inverse Property of Addition (Opposites always cancel) |

a + -a = 0 |

8 + -8 = 0 |

(a + b) + -(a + b) = 0 |

-z + z = 0 |

-(3 + y) + (3 + y) = 0 |

0 = -7 + 7 |

- Inverse Property of Multiplication (InversePM)
- When you multiply
anything by its reciprocal you always end up with one. The product of reciprocals is always one.
(The multiplicative inverse of a number is its reciprocal.)
Inverse Property of Multiplication (The product of reciprocals is one) |

a • 1/a = 1 |

8 • 1/8 = 1 |

ab • 1/(ab) = 1 |

(x + y) • 1/(x + y) = 1 |

1/(3y) • 3y = 1 |

1/5 • 5 = 1 |