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The property of the reciprocal of the opposite of a number is:

Reciprocals of inverse values are themselves inverse values.

i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a

The negative or positive status of a reciprocal is the same as that of the original number.

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Q: What is the property of the reciprocal of the opposite of a number?
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Related questions

What are the differences between the opposite of a non-zero number and the reciprocal of that number?

The answer depends on what you mean by the "opposite" of a number. A reciprocal is one type of opposite: it is the multiplicative opposite.


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How is the opposite of a number different from the reciprocal of a number?

"opposite" is defined in the context of some operation. While the opposite of a number in the context of multiplication is the reciprocal, there are other possible contexts: The opposite of a number, x, in the context of addition, is its negative, -x. The opposite of a number, x, in the context of its logarithm, is its exponentiation, -x.


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