Math and Arithmetic
Numbers
Irrational Numbers

# What standards separate a real number from an irrational number?

###### Wiki User

An irrational number is a real number.

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## Related Questions

### If a number is a real number then is it also an irrational number?

No. All irrational numbers are real, not all real numbers are irrational.

### Can a real number that is not a rational number is a?

A real number which is not a rational number is an irrational number.

### What real number is also irrational?

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.

### Can an irrational numbers be a real number?

yes. an irrational number is any real number that is not a rational number

### Is an irrational number plus an irrational number rational?

No. The sum of an irrational number and any other [real] number is irrational.

### Is every irrational number a real number and how?

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.

### Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

### Is every Real number an irrational number?

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.

### Does real number line correspond to an irrational number?

No. The real number line corresponds to rational AND irrational numbers.

### What is the real number?

a real number is a number that can be rational or irrational

### Are there real number that are not rational number?

A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).

### Is an irrational number a real number?

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.

### What number is both real and irrational?

All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.

### Can a real number that is not a rational number be an irrational number?

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

### How can you put rational and irrational in a sentences?

An irrational number is a real number that is not rational.

### Is an irrational number always a real numbeR?

All numbers are real. A number being irrational just means that is does not have a definite end.

### Is the number 3 an integer rational irrational or a real number?

It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.

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