It is a very important chapter for the students from the examination point of view and also to build basic knowledge about the numbers. Chapter solutions will give you a strong idea to categorize numbers into rational and Irrational. To help the students, the NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers are solved by the experts.
In this chapter, we learn about the rational numbers, real numbers, whole numbers, integers, and natural numbers and also study their properties like Closure, Commutativity, Associativity. For the students to understand in an easy way, properties of rational numbers explained in tabular form, and also compare with integers and whole numbers in NCERT Grade 8 Maths Chapter 1 Rational Numbers. Rational Number is a very important number category under the topic number system. The following discussion is brief about the chapter-
Rational numbers are those numbers which we can represent in the form of a fraction or numerator(p) upon a denominator(q) where the denominator can be any value except 0 or we can say that rational numbers are those numbers which can be represented in p/q form where q ≠0 and p & q are integers. From this definition, we are saying that all the integers come under the category of a rational number.
To compare commutative property over addition, subtraction, multiplication and division of rational numbers with integers, whole numbers and natural numbers lets take a table of NCERT Class 8 Maths Chapter 1 Rational Numbers-
Let’s understand the concept by taking some examples:-
6:- It is a rational number because it can be written as 6/1 and where the denominator is not zero.
3/2:- It is also a rational number because it is already in the form of A/B where the denominator is also not equal to 0.
0.333333333:- It is the third type of rational number where the decimal number is recurring and thus if we convert this recurring number into fraction then it will become 1/3 and we already know that any number which is infraction where the denominator is not zero is a rational number. -0.324569576:- In this decimal number the digits after the decimal point are not recurring and every next digit is different from the previous digit. Thus we can not represent in a fraction and anything which cannot be represented in the fraction is not a rational number or we can say that it is an irrational number.
Most of the students are in doubt whether fall under the category of rational number or irrational number? This is the perfect value is 3.14159 26535 89793 23846 26433 83279…... So if we want to convert this decimal number into fraction then we cannot convert it because the numbers are not recurring and digits coming in the value are endless. Now you will think that 22/7 is the exact value of but it is not then It is just an approximation of above-written value. Thus, it is not a rational number.
In this chapter, there are 2 exercises with 18 questions. Following are the important topics and sub-topics of NCERT Class 8 Maths Chapter 1 Rational Numbers.
1.2 Properties of Rational Numbers
1.2.4 The role of zero (0)
1.2.5 The role of 1
1.2.6 Negative of a number
1.2.8 Distributivity of multiplication over addition for rational numbers
1.3 Representation of Rational Numbers on the Number Line
1.4 Rational Numbers between Two Rational Numbers
NCERT Solutions for Class 8 Maths Chapter 1- Rational numbers, Will give you a strong idea to categorize numbers into the Rational and Irrational. Along with you will find the detailed solutions of all the question of the topic.
Below mentioned are the questions and solutions for Class 8 Maths Rational Numbers:
1. Represent these numbers on the number line. (i) (ii)
6. Write five rational numbers greater than –2.
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.