Is every rational number a real number?

Rational Numbers:

A number that can be expressed in the form p/q where p and q are integers and q is not equal to zero is a rational number.

For example, $\frac{2}{3}, \frac{4}{5}, \frac{23}{6}, 8$.

Note: Any number divided by zero is undefined but not infinity.

Irrational Numbers:

A number that can’t be expressed in the form p/q where p and q are integers and q is not equal to zero is an irrational number.

For example, $\sqrt{3}, \sqrt{7}, π$.

 Note: The value of Pi(π) is not exactly equal to $\frac{22}{7}$. We use it for calculation purposes. Therefore, π is an irrational number.

Real Numbers:

Rational numbers and irrational numbers together are called real numbers.

For example, $ \frac{3}{4}, π, 5$

All the rational numbers are real numbers but all real numbers are not rational numbers.

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Updated on: 10-Oct-2022

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