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We are talking group theory here.

A group with addition has an additive inverse.

A group with multiplication has a multiplicative inverse.

The additive inverse of a number x is a y with x + y = 0.

The additive inverse of x is written -x.

Hence, the additive inverse of 9.1 equals -9.1.

The reason that this question can arise is that beyond groups, there are rings and fields. Rings and fields have, besides addition, also multiplication. An element can have an additive inverse and a multiplicative inverse at the same time.

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Q: What is the additive inverse of 9.1?
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