In mathematics, a

**rational number**is any**number**that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1,**every**integer is a**rational number**.Also to know is, are all real numbers are irrational numbers?

**Irrational numbers**can't be written as a ratio of two integers. The correct answer is rational and

**real numbers**, because all rational

**numbers**are also

**real**. The

**number**is between integers, so it can't be an integer or a whole

**number**. It's written as a ratio of two integers, so it's a rational

**number**and not

**irrational**.

Is it true that all irrational numbers are real numbers?

No. The definition of an

**irrational number**is a**number**which is not**a rational number**, namely it is not the ratio between two integers. If a**real number**is not rational, then by definition it is**irrational**.What is an irrational number give examples?

An

**irrational number**cannot be expressed as a ratio between two**numbers**and it cannot be written as a simple fraction because there is not a finite**number**of**numbers**when written as a decimal. Instead, the**numbers**in the decimal would go on forever, without repeating.