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A non terminating decimal which has repeated pattern is called as rational number.
Difference between rational and irrational numbers math. An irrational number is a. A rational number can be simplified to any fraction of an integer whereas an irrational number cannot be so simplified. Main differences between rational and irrational numbers a rational number is any number in mathematics such as a whole number fraction decimal even negatives. Conversely any number that cannot be expressed in the form of a fraction or a ratio is termed as irrational.
So for example any integer is a rational number. So let s talk a little bit about rational numbers. 1 can be represented as 1 1 or as negative 2 over negative 2 or as 10 000 10 000. A non terminating decimal which does not have repeated pattern is called as irrational number.
Key differences between rational and irrational numbers rational number is defined as the number which can be written in a ratio of two integers. The key difference between rational and irrational numbers is the rational number is expressed in the form of p q whereas it is not possible for irrational number though both are real numbers. Those numbers that we cannot express as fractions are called irrational just like pi. The number 2 is a rational number but its square root is not.
First rational numbers are numbers which we can write as fraction. The key difference between them is given below. Perfect squares are rational numbers and surds are irrational numbers all the perfect squares are rational numbers and the perfect squares are those numbers which are the squares of an integer. Because the non terminating decimal which has repeated pattern can be converted into fraction.
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