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# Integer Op. Rules

### Rules for doing the different integer operations

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

Add two positive integers | Add the numbers and the result is positive |

Add two negative integers | Add the numbers and the result is negative |

Add a positive integer and a negative integer | Subtract the numbers and use the sign of the bigger* number (the number with the larger absolute value |

Add a negative integer and a positive integer | Subtract the numbers and use the sign of the bigger* number (the number with the larger absolute value |

Add opposite integers | The sum will always be 0 |

Add a positive integer and 0 | The sum will be the same positive integer |

Add a negative integer and 0 | The sum will be the same negative integer |

Subtract a positive integer minus a smaller positive integer | This is the same as adding a positive integer and a smaller negative integer. Subtract the numbers and the result will be positive. |

Subtract a positive integer minus a larger positive integer | This is the same as adding a positive integer and a "larger" negative integer. Subtract the numbers and the result will be negative. |

Subtract a positive integer minus a negative integer | This is the same as adding a positive integer and a positive integer. Add the numbers and the result will be positive. |

Subtract a negative integer minus a positive integer | The is the same as adding two negative integers. Add the numbers and the result will be negative. |

Subtract a negative integer minus a negative integer | This is the same as adding a negative integer and a positive integer. Subtract the numbers and use the sign of the bigger* number (the number with the larger absolute value |

Subtract an integer minus the same integer | This will be the same as adding opposite integers and the result will be 0. |

Multiply a positive integer by a positive integer | Multiply the two numbers and the result (product) will be positive. |

Multiply a positive integer by a negative integer | Multiply the two numbers and the result (product) will be negative. (it doesn't matter if the "bigger" number is positive or negative) |

Multiply a negative integer by a positive integer | Multiply the two numbers and the result (product) will be negative. (it doesn't matter if the "bigger" number is positive or negative) |

Multiply a negative integer by a negative integer | Multiply the numbers and the result (product) will be positive. |

Multiply a positive or a negative integer by 0 | The product will always be 0 |

Divide a positive integer by a positive integer | Divide the numbers and the result (quotient) will by positive. |

Divide a positive integer by a negative integer | Divide the two numbers and the result (quotient) will be negative. |

Divide a negative integer by a positive integer | Divide the two numbers and the result (quotient) will be negative. |

Divide a negative integer by a negative integer | Divide the two numbers and the result (quotient) will be positive. |

Divide 0 by any integer | The quotient will be 0. |

Divide any integer by 0 | This cannot be done. The quotient is said to be "undefined". |

Created by:
mrvanlaan