How to explain rational numbers, irrational numbers, and how they are different?

permaneceerc 2020-11-08 Answered
How to explain rational numbers, irrational numbers, and how they are different?
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doplovif
Answered 2020-11-09 Author has 71 answers

Step 1 To explain: a) Rational number. b) Irrational number. c) Difference between rational number and irrational number. Step 2 a) Rational number: A Rational number is a number that can be expressed in the form of a ratio p/q, where p and q are integers and qq0. Rational numbers are finite and has terminating or repeating decimals. Examples of rational numbers: 12,74,81,1100 etc. 34 can be represented as 0.75 which is a terminating decimal. 23 can be represented as 0.6666 .... which is a repeating decimal. Step 3 b) Irrational number: An irrational numbers is a number that is not rational. Irrational numbers cannot be expressed as a fraction with integer values in the numerator and denominator. Irrational numbers are infinite and has non - terminating and non-repeating terms. When an irrational number is expressed in decimal form, it goes on forever without repeating. But both the numbers are real numbers and can be represented in a number line. Examples of irrational numbers: 32,π,0.131331333.,5+3 Step 4 c) Difference between rational number and irrational number: Rational numberIrrational numberIt is expressed in the ratio, where both numerator and denominator are the whole numbersIt is impossible to express irrational numbers as fractions or in a ratio of two integersIt includes perfect squaresIt includes surds (we cant simplify a number to remove a square root)The decimal expansion for rational number executes finite or recurring decimalsHere, nonterminating and nonrecurring decimals are executed

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