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# What is the Definition of irrational numbers and real numbers?

Updated: 4/28/2022

Wiki User

13y ago

An irrational number is one that can not be written as a/b where a and b are integers

(whole numbers such as 5, -2, and 831).

Mathematically: A quantity which can not be expressed as the ratio of two integers.

Real numbers are any number you can find in the real world. For example:

-the square root of 2

-the length of a line (any line)

-pi (3.1415..........)

-The number of people in a flight

-The time it takes the water to boil

A more formal definition would be: Any number which does not have an imaginary component.

Wiki User

13y ago

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Q: What is the Definition of irrational numbers and real numbers?
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Related questions

### Are some irrational numbers not real?

No. Irrational numbers by definition fall into the category of Real Numbers.

### 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.

### 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.

### Why is every rational number a real number?

There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.

### What is a good definition of irrational numbers?

A real number that can not be expressed as a rational number.

### Are real numbers irrational numbers?

No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.

### True or false irrational numbers are not real numbers?

False. Irrational numbers are real numbers.

### What is a statement irrational numbers?

Irrational numbers are real numbers.

### Real number real number definition in math in 9th class?

the collection of rational and irrational numbeers is known as real numbers

### 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.

### Is an irrational number cannot be a real number?

Irrational numbers are real numbers.

### Why rational number is also a real number?

Real numbers are defined as the set of rational numbers together with irrational numbers. So rationals are a subset of reals, by definition.