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Why do we need negative one?

Updated: 8/21/2019
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7y ago

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For the same reason we need all the other negative numbers. Negative numbers are regularly used whenever there are two opposites - in which case, one of the opposites is assigned to positive numbers, the other to negative numbers. For example:* Height above (or below) sea level

* Having (or owing) money

* Gaining (or losing) money

* Electrical charges

* Moving forward (or moving backward) - along a line

* Etc.

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7y ago
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7y ago

In terms of algebraic structures, it is to ensure that the set of integers forms a group: that is, the elements of the set have an additive inverse.

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Q: Why do we need negative one?
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