The answers to many questions are numbers. Numbers are the prime requirement for many people these days. People who are good with numbers are generally considered smart or intelligent. And you really can’t mess up or play games with that kind of people. These numbers play a vital role in everyday life in expressing count, ideas, data, statistics, studies, measurements, calculations, sorting, labels, programming and whatnot.. these numbers get involved day in and out. Hence, it’s so evident that one just can’t escape from numbers.
Relationship of numbers with students
Is there a student’s life where numbers don’t get involved? Definitely not. Obviously, numbers come into one’s life from the very beginning when one starts counting say i.e., 1, 2, 3, 4…. And by now, you should have known that these numbers are called natural numbers. Later on, when a student wants to express the value of nothing or not having anything one decides to use zero (0). Also by now, you should have known when zero gets added to natural numbers it’s called whole numbers.
Just like nature tells us that there are always two sides in everything as in a day or a coin for the reason of balancing and becoming complete. All whole numbers have their negative counterparts and they are altogether called integers e.g. …-2, -1, 0, 1, 2…. And again from nature teaching us that everything is made of something and these comprise to become a whole. A part of something is generally expressed as fractions e.g., 10 minutes out of an hour can be expressed as 1/6th of an hour and 500ml of milk can be expressed as 1/2nd of a litre. So these fractions are made of two integers as numerator and denominator. Suppose if one wishes to express the same value in digits it’s done by using decimals. Thus, every fraction can be expressed as a decimal. And an integer is a number with no fractional part.
All the above types of numbers fall under a single roof called rational numbers. So basically we get a rational number when we divide two integers. And the word rational comes from “ratio”.
Most numbers we use in everyday life are rational numbers. For instance, 2.5 is a rational number because 2.5 = 5/2 (where 5 and 2 are integers) similarly -0.6 is nothing but -6/10 when expressed as a fraction and hence it’s also a rational number. So this form of expressing a rational number is called as the p/q form where p and q are integers and q ≠ 0.
How about expressing √5 as a fraction? Does it even exist? And there are many more such numbers and they are called irrational just because it cannot be expressed in a rational form. Another very familiar and famous irrational number is pi (π).
To learn and understand
more in detail you can refer to NCERT Solutions for Class 8 Maths textbook Chapter 1 – Rational Numbers. NCERT has prepared and published a very good textbook to all these concepts which are also widely prescribed for class 8 in schools.
Furthermore, when you start solving the exercises from the chapter you can get here the NCERT solutions For class 8 Maths Chapter 1. These NCERT solutions For class 8 Maths subject has all that you need for understanding, analysing and also to know the mythological approach to solve and answer all the questions in chapter 1 and others as well provided in the NCERT book.