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What is the multiplicative inverse of -1?
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What is the multiplicative inverse of -1?
Multiplicative Inverse of -1

The multiplicative inverse of a number is the number which when multiplied by the given number results in the product equal to 1.


Finding the Multiplicative Inverse of -1

Let us assume that the multiplicative inverse of -1 is 'x'.

Then, -1 * x = 1

Therefore, x = -1/1 or x = -1


Explanation

As per the definition of the multiplicative inverse, the product of the given number and its inverse should be equal to 1. In the case of -1, when it is multiplied by -1, we get the product as 1. Hence, -1 is the multiplicative inverse of -1.


Another way to look at it is that any number multiplied by its own inverse gives the product as 1. In this case, -1 is its own inverse as -1 * -1 = 1.


Conclusion

The multiplicative inverse of -1 is -1, as per the definition and calculations mentioned above.
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What is the multiplicative inverse of -1?
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