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That's related with:* The fact that 1 is the identity element of multiplication

* The fact that division is the inverse operation of multiplication.

Take any number, "n" (not equal to zero).

Take the statement that n / n = 1. To get the equivalent multiplication, turn it all around: 1 x n = n.

This is equivalent to stating that 1 is the "identity element" of multiplication.


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That is a definition of 1. Any number (except 0) divided by itself equals 1.

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Q: Why is dividing a number by itself the answer will always be 1?
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