[Maths Class Notes] on Rational and Irrational Numbers Pdf for Exam

All the numbers used in Mathematical computations are broadly classified into two kinds. They are real numbers and imaginary numbers. Real numbers are those numbers that exist in reality and are used in most of the Mathematical computations. Imaginary numbers are the numbers that do not exist in reality. However, they are assumed to exist to ease a few Mathematical and Scientific computations. Real numbers comprise the entire list of rational and irrational numbers. The chart below describes the difference between rational and irrational numbers. 

Rational Numbers Definition:

Rational numbers are the numbers that can be written in the form of a fraction where numerator and denominator are integers. In the case of rational numbers, numerator and denominator should be coprime and denominator should not be equal to zero. Mathematically, rational numbers definition is given as the number a/b if a and b are coprimes, and b is not equal to zero. 

Mathematics is a subject where you can score well if you are clear with the concepts and formulas. You should maintain a separate revision note to write down the formulas, theories, and procedures so that you can easily revise them before exams. This chapter covers everything about rational and irrational numbers. 

provides all problems along with solutions covering the syllabus. You can always refer to the website if you would like to work out some problems to check your level of understanding. By practicing in this way, you could actually learn the concepts by heart and save time during the exam. Also learn the marking schemes of any problem so you will get an idea of how step marks are given.

While sitting in online classes, parents should always keep an eye on their children as this is a new environment and they will find it difficult to cope with the new situation. They will be having their mobile phones and net connection all the time so they might easily get distracted with other things. They might waste lots of time without our knowledge. But apart from all that we should make students concentrate and put in their efforts in preparing for the exams. So enrolling your students in the website will keep them engaged with academics and make the learning process fun as well. They should find the learning process interactive and interesting other than seem boring and difficult.

Definition

Rational number, in mathematics, means a number can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions available, the set of rational numbers includes all the integers that are formed, each of which can be written as a quotient with the given integer as the numerator and 1 as the denominator.

Irrational numbers are numbers that generally cannot be expressed as the ratio of two possible whole numbers. This is just the opposite to rational numbers, like 2, 7, one-fifth, and -13/9, which can be and are, expressed as the ratio of two whole numbers.