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# Does the set of a rational number have an additive identity?

Updated: 4/28/2022

Wiki User

10y ago

Yes: it is 0.

Wiki User

10y ago

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Q: Does the set of a rational number have an additive identity?
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### Do sets of rational numbers have an additive identity?

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

Yes, it does.

### Does the set of rational numbers have an additives identify?

Yes. The additive identity is 0.

### What number is the additive identity in the set of real numbers?

Zero is the additive identity in the set of real numbers; when you add zero to any number, the number does not change its identity.

### 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 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.

### What is Additive Identity Property?

The additive identity for a set is a number (denoted by 0) such that a + 0 = 0 + a = a for all elements a which belong to the set.

### What is the difference between 0 73 and 38.5?

The first number is 0, the additive identity for the set of numbers. The second, 73 is a positive integer or counting number and the third, 38.5 is a decimal representation of a rational number.

### Why 0 is included in whole number set?

To give the set closure with respect to subtraction, or to give it an additive identity.

### Does the set of rational numbers have an additive inverse?

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

Yes, it does.

### What number is zero?

not a real number * * * * * Zero is very much a real number. In fact it is the additive identity for the set of real numbers.