Rational Numbers and Irrational Numbers Rational Numbers and Irrational Numbers There are various kind of numbers are defined that are used to solve the problem related to mathematics. Form different kinds of numbers here we are going to describe about the rational and irrational numbers. Rational and irrational numbers are special kind of numbers in the number system. Rational and irrational numbers are those numbers which is used to represent special kind of quantity like one fourth, one and half and so on. In mathematics, a rational numbers are those numbers which can be represented in simple fractional form. Rational numbers are those numbers that can be represented in the form of quotient or in the form of numerator and denominator. In the rational number we generally perform the integers value in the form of x / y. Here the symbol ‘x’ can be represented as the value of numerator and the symbol ‘y’ can be expressed as the value of denominator. In the case of rational numbers we need to remember one thing that the value of the denominator must not be equal to zero. The value of denominator in rational number can either be a one or more but not be equal to zero. The word rational comes from the mathematical word ‘ratio’. As we know that the concept ratio is used to define the relationship between two integers value. In the same aspect, the rational numbers is used to describe the ratio between the two integers value. In decimal point of view rational numbers are those numbers that can be represented as terminating or repeating decimal. Know More About :- How to Subtract Whole Numbers from Fractions
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In the same aspect irrational number can be consider as a opposite of the rational numbers. It mean to say that irrational numbers the type of real numbers that cannot be represented in the form of numerator and denominator. This means that irrational numbers cannot be expressed in simple fractional value. In the simple definition we can say that irrational numbers are the type of real numbers which can’t be expressed as repeating decimals.In the below we show you the difference between rational and irrational numbers Rational numbers: (A ) rational numbers are those numbers that can be represented in the form of numerator and denominator. (B )The value of denominator can’t be equal to zero. (C ) In the case of decimal numbers, rational numbers can be represented as terminating or repeating decimals. Examples of rational numbers are: 2 / 7 = .28571, -12 / 3 = -4 and We have two rational variables like 3 x3 + 2 x2 – 5 x – 4 and -3 x3 + 7 x2 + 2 x – 8 and when we define these two rational number variable in numerator and denominator form like (3 x3 + 2 x2 – 5 x – 4) / (-3 x3 + 7 x2 + 2 x – 8) is called as a rational expression. Irrational numbers: (A ) Irrational numbers are those numbers that can’t be represented in the form of numerator and denominator. (B ) In the concept of irrational number the concept of numerator and denominator is not work. (C ) In the case of decimal numbers, irrational numbers can’t be represented as terminating or repeating decimals. Examples of irrational numbers are: Square root of 2 is the most popular example of representing the concept of irrational numbers. Another mathematical method like value of pi is the best example of irrational numbers. Cube root of thirteen is also an example irrational numbers. The above given difference between rational and irrational numbers helps in understanding the concept of rational and irrational numbers. Read More About :- Multiplication Methods
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