 ## Eighth grade - Identify rational and irrational numbers

Rational numbers are numbers that can be expressed as a ratio of two integers. They can be in fraction, decimal or whole number form. Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Understand the differences between rational and irrational numbers and learn more about them with the help of resources available on this page.

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#### What is rational and irrational numbers?

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

#### Is a rational?

While true that all integers are rational numbers, all rational numbers are not integers. Rational numbers include fractions that are not whole numbers and, therefore, are not integers. Any whole number, positive or negative, has one or more fractions that are equal to it, so all whole integer are rational numbers.

#### Why Pi is an irrational number?

π (Pi) is a famous irrational number. You cannot write down a simple fraction that equals Pi. The popular approximation of 22/7 = 3.1428571428571… is close but not accurate. Another clue is that the decimal goes on forever without repeating.

#### What are real numbers rational and irrational numbers?

A rational number is a number that can be expressed as a fraction or ratio. The numerator and the denominator of the fraction are both integers.

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