17th October 2019

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# Is it true that every rational number is a real number?

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.

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