#1**+3 **

Here's one way to figure out, for example, what is 10 ÷ 2

__ | ___ | ____ | ||||

10 | - | 2 | = | 8 | count = 1 | |

8 | - | 2 | = | 6 | count = 2 | |

6 | - | 2 | = | 4 | count = 3 | |

4 | - | 2 | = | 2 | count = 4 | |

2 | - | 2 | = | 0 | count = 5 |

We had to subtract 2 a total of 5 times before we couldn't subtract it any more (without getting a number < 0)

Or we can say that 2 "fits into" 10 a total of 5 times.

So 10 ÷ 2 = 5

Now let's try to use the same method to figure out what is 10 ÷ 0

__ | ___ | ____ | ||||

10 | - | 0 | = | 10 | count = 1 | |

10 | - | 0 | = | 10 | count = 2 | |

10 | - | 0 | = | 10 | count = 3 | |

10 | - | 0 | = | 10 | count = 4 | |

10 | - | 0 | = | 10 | count = 5 | |

10 | - | 0 | = | 10 | count = 6 | |

10 | - | 0 | = | 10 | count = 7 | |

10 | - | 0 | = | 10 | count = 8 | |

10 | - | 0 | = | 10 | count = 9 | |

. . . | . . . |

We keep subtracting 0 over and over again, but we aren't getting anywhere! This is an endless loop.

There is not a number of times that we can subtract 0 from 10 to reach a number < 0.

In other words, there is not a number that is equal to 10 ÷ 0

hectictar Aug 2, 2019