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Does the set of rational numbers have an additive inverse?

Anonymous

∙ 9y ago

Updated: 9/25/2023

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

Wiki User

∙ 8y ago

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

Yes.

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.

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.

Related Questions

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

Yes.

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 identityt?

Yes, it does.

Does the set of rational numbers have an additive identity?

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?

help me

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.

Is a set of rational numbers a group under subtraction?

Yes it has closure, identity, inverse, and an associative property.

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