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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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What is the inverse for numbers under addition?
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
What is the additive inverse of the additive inverse of 45?
-45
What is the additive inverse of 18?
The additive inverse is the sum of two numbers that will equal zero. The additive inverse of -18 is 18.
What is the additive inverse of 41?
The additive inverse of 41 is -41. An additive inverse is the number that will make the sum equal zero.
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
