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The NCERT Maths Solutions of Chapter 1 – Rational Numbers allow the students to get a good knowledge over the basics of the Rational Numbers and, eventually, master the counterpart. Vedantu has aligned all the chapters in a way that provides you with access to PDF download options of all the chapters that you want. Plus, you can store these PDFs very easily on your laptops, tablets or computers.
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NCERT Maths Chapter 1 is about Rational Numbers.
A rational number is a number, which is a fraction of p where and q are integers, and q does not equal to 0. A rational number p/q is asserted to have numerator p and denominator q, respectively. Those numbers which are not rational are termed irrational numbers. The real line consists of all the rational and irrational numbers.
The collection of all rational numbers is correlated as the "rationals" and forms a field that is characterized by Q.The symbol derived from the German word called Quotient, which can be translated as "ratio.”
Some of the examples of rational numbers are-7, 0, 1, 1/2, 22/7, and so on.
So we already discussed the basic operations relating to rational numbers.
In the following chapter, you will explore some properties of operations on the different types of the number we have seen so far.
The techniques for addition and multiplication are
Study rational numbers include
Vedantu has come up with solved examples for you to understand the topic. They have also provided you the role of 0 and the role of 1 with a quick description:-
0 is an Additive individual for rational numbers, while 1 is Multiplicative individual for rational numbers.
Another topic that is included in is the Negative of several inverse additions. Additionally, in the following topic, reciprocal or multiplicative inverse, distributive of multiplication over addition for rational numbers are also elaborated.
The manifestation of Rational Numbers on the Number Line and Rational Numbers between Two Rational Numbers
Rational numbers can easily be characterized on a number line by following some easy steps. Manifestation on number line depends upon the variety of rational fraction, which is to be characterized on the line. We should not forget to check the negative and positive aspects of the rational number before moving to the number line.
The right side of the zero on the number line is always represented by the positive rational numbers. But the left side of zero on the number line is always characterized as the negative aspect of rational numbers.
Beneath are some of the categories of rational numbers and methods to characterize them on the number line:
I. Proper fraction:
When the numerator is smaller than the denominator, such numbers are called proper fractions. Such portions only exist between zero and one. Proper fractions are smaller than one and bigger than zero. So, proper fractions always subsist between zero and one on a number line.
II. Improper fractions:
When the numerator of the fraction is always greater than its denominator, those numbers are called Improper Fractions. Since the numerator is bigger than the denominator, the number will be greater than one. To know about such rational fractions on the number line, we modify the improper fraction with the mixed fractions to know between which integers the fraction will lie upon.
Finally, in Class 8 NCERT Maths Chapter 1, you will study the application of Closer properties of addition, subtraction, and Multiplication. You will also go through Commutative and Associative properties under the addition and multiplication. In the following operations, you need to check whether Individuality, Inverse exist or not just like additive individuality or multiplicative inverse. You should have an understanding of how should the rational numbers be characterized on a number line and find the rational number between any two given rational numbers as there are infinite rational numbers between two numbers.
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