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30 × 0.5 = 15

Algebraically, when | a | = c then a = bc |

b |

For | 1 | = x, there is no value for x where 1 = 0 × x because multiplying by zero gives 0 as a result. |

0 |

If | 1 | = ∞ then |

0 |

Even if you considered that this does equal 1, it is shown to be false when you try it with other numbers:

If | 5 | = ∞ then 5 = 0 × ∞ |

0 |

Even if you could "trick" equations by having something say divided by n-n, then you may get some very strange results.

Now let's look at a graph of 1/0:

As you can see, approaching 0 from the right makes the result grow towards infinity BUT if you approach 0 from the left, the result approaches negative infinity. There is no number in the middle that the result could be.

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