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NCERT Book for Class 7 Mathematics Chapter 9 Rational Numbers
Class 7 Mathematics students should refer to the following NCERT Book Chapter 9 Rational Numbers in Class 7. This NCERT Book for Class 7 Mathematics will be very useful for exams and help you to score good marks
Chapter 9 Rational Numbers NCERT Book Class 7
Rational Numbers
9.1 INTRODUCTION
You began your study of numbers by counting objects around you. The numbers used for this purpose were called counting numbers or natural numbers. They are 1, 2, 3, 4, ... By including 0 to natural numbers, we got the whole numbers, i.e., 0, 1, 2, 3, ... The negatives of natural numbers were then put together with whole numbers to make up integers. Integers are ..., –3, –2, –1, 0, 1, 2, 3, .... We, thus, extended the number system, from natural numbers to whole numbers and from whole numbers to integers.
You were also introduced to fractions. These are numbers of the form numerator/denominator,where the numerator is either 0 or a positive integer and the denominator, a positive integer. You compared two fractions, found their equivalent forms and studied all the four basic operations of addition, subtraction, multiplication and division on them. In this Chapter, we shall extend the number system further. We shall introduce the concept of rational numbers alongwith their addition, subtraction, multiplication and division operations.
9.2 NEED FOR RATIONAL NUMBERS
Earlier, we have seen how integers could be used to denote opposite situations involving numbers. For example, if the distance of 3 km to the right of a place was denoted by 3, then the distance of 5 km to the left of the same place could be denoted by –5. If a profit of Rs 150 was represented by 150 then a loss of Rs 100 could be written as –100.
There are many situations similar to the above situations that involve fractional numbers.
You can represent a distance of 750m above sea level as 3/4 km. Can we represent 750m
below sea level in km? Can we denote the distance of 3/4 km below sea level by –3/4 ? We can see –3/4 is neither an integer, nor a fractional number. We need to extend our number system to include such numbers.
9.3 WHAT ARE RATIONAL NUMBERS?
The word ‘rational’ arises from the term ‘ratio’. You know that a ratio like 3:2 can also be written as 3/2
Here, 3 and 2 are natural numbers.
Similarly, the ratio of two integers p and q (q ¹ 0), i.e., p:q can be written in the form p/q . This is the form in which rational numbers are expressed.
A rational number is defined as a number that can be expressed in the form p/q , where p and q are integers and q
Thus, 4/5 is a rational number. Here, p = 4 and q = 5.
Is –3/4 also a rational number? Yes, because p = – 3 and q = 4 are integers.
You have seen many fractions like 3 /8,4/8,5/3 etc. All fractions are rational numbers. Can you say why?
How about the decimal numbers like 0.5, 2.3, etc.? Each of such numbers can be
written as an ordinary fraction and, hence, are rational numbers. For example, 0.5 = 5/10 ,= 0.333 = 333/1000 etc.
Please refer to attached file for NCERT Class 7 Maths Rational Numbers
| NCERT Class 7 Maths Integers |
| NCERT Class 7 Maths Fractions and Decimals |
| NCERT Class 7 Maths Data Handling |
| NCERT Class 7 Maths Simple Equations |
| NCERT Class 7 Maths Lines and Angles |
| NCERT Class 7 Maths The Triangle and Its Properties |
| NCERT Class 7 Maths Congruence of Triangles |
| NCERT Class 7 Maths Comparing Quantities |
| NCERT Class 7 Maths Rational Numbers |
| NCERT Class 7 Maths Practical Geometry |
| NCERT Class 7 Maths Perimeter and Area |
| NCERT Class 7 Maths Algebraic Expressions |
| NCERT Class 7 Maths Exponents and Powers |
| NCERT Class 7 Maths Symmetry |
| NCERT Class 7 Maths Visualising Solid Shapes |
| NCERT Class 7 Maths Solutions Answers |
Mathematics NCERT Book Class 7 Chapter 9 Rational Numbers
The above NCERT Books for Class 7 Mathematics Chapter 9 Rational Numbers have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 9 Rational Numbers Mathematics Class 7 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 9 Rational Numbers NCERT etextbooks as the exams for Class 7 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 7 Chapter 9 Rational Numbers book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 7 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 7 students.
NCERT Book Class 7 Mathematics Chapter 9 Rational Numbers
The latest NCERT book for Chapter 9 Rational Numbers pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 7 Mathematics Chapter 9 Rational Numbers are designed to enhance the overall understanding of students. All Class 7 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 7 students.
Chapter 9 Rational Numbers NCERT Book Class 7 Mathematics
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Class 7 Mathematics Chapter 9 Rational Numbers NCERT Book
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Class 7 Chapter 9 Rational Numbers NCERT Book Mathematics
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