Irrational Number
a number that can NOT be expressed as a ratio of two integers or as a repeating or terminating decimal – Pi or any square root of an imperfect square are considered irrational
An irrational number is a number that cannot be expressed as a ratio of two integers, which means it cannot be expressed as a fraction. These numbers have decimal representations that go on forever, without repeating.
Examples of irrational numbers include:
– √2 ≈ 1.41421356…
– π (pi) ≈ 3.14159265…
– e (Euler’s number) ≈ 2.71828182…
– √3 ≈ 1.73205080…
Irrational numbers are important in mathematics, especially in geometry and calculus, where they arise naturally in many contexts. They also have applications in other fields, such as physics and engineering, where they help model and solve complex problems. Understanding irrational numbers is important for a strong foundation in mathematics.
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