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No. It has a different additive inverses for each element.

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Is the set of rational numbers contains the additive inverse of each of its members?

Yes.


Does the set of real numbers have an additive inverse?

Yes, the set of real numbers does have an additive inverse. For any real number ( x ), its additive inverse is ( -x ), since ( x + (-x) = 0 ). This property holds for all real numbers, ensuring that each number has a corresponding additive inverse within the set.


Is zero is not considered a real number?

Wrong! Not only is zero a real number, but it is the additive identity for the set of integers, rational numbers as well as real numbers.


Does the set of rational numbers have an additive identity?

Yes, it does.


Does the set of rational numbers have an additive identityt?

Yes, it does.


Do sets of rational numbers have an additive identity?

There is only one set and it does have an additive identity.


How is the additive inverse important?

It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.


Does the set of rational numbers have a multiplicative inverse?

Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.


Does the set of rational numbers have an additives identify?

Yes. The additive identity is 0.


Is the set of rational numbers contains the multiplicative inverse of each of its members?

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What are operations undo each other or the additive inverse?

Inverse operations. Additive inverse is not one operation but they are elements of a set.


How Does a set of rational numbers have an additive identity?

I t is the number 0, which has the property that x + 0 = 0 + x = x for all rational numbers x.