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Rational and Irrational Numbers
Dive into the fascinating world of rational and irrational numbers with our interactive guide designed for grade 4-6 kids. Engage in fun activities, examples, and problem-solving exercises to understand the difference between rational and irrational numbers and their significance in mathematics
A rational number
is a number that can be expressed as a fraction of two integers, such as 3/4 or -5/2. These numbers can be written as a decimal that either terminates (has a finite number of decimal places) or repeats a certain pattern of digits. For example, 0.75 or -2.5 are both examples of rational numbers.An irrational number
, on the other hand, is a number that cannot be written as a simple fraction and when expressed in decimal form, it goes on forever without repeating. These numbers cannot be expressed as a ratio of two integers. Examples of irrational numbers include the square root of 2, pi, and e.For example, √2 which is the square root of 2, is a non-repeating, non-terminating decimal 1.41421356237..., and so it is an irrational number. On the other hand, √4 is equal to 2, which is a rational number.
It's important to note that all irrational numbers are real numbers but not all real numbers are irrational numbers.
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