NCERT Class 7 Maths Exponents and Powers

Read and download NCERT Class 7 Maths Exponents and Powers in NCERT book for Class 7 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 7 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 7 Mathematics to understand the answers of the exercise questions given at the end of this chapter

NCERT Book for Class 7 Mathematics Chapter 13 Exponents and Powers

Class 7 Mathematics students should refer to the following NCERT Book Chapter 13 Exponents and Powers in Class 7. This NCERT Book for Class 7 Mathematics will be very useful for exams and help you to score good marks

Chapter 13 Exponents and Powers NCERT Book Class 7

 

Exponents and Powers

13.1 INTRODUCTION

Do you know what the mass of earth is? It is

5,970,000,000,000,000,000,000,000 kg!

Can you read this number?

Mass of Uranus is 86,800,000,000,000,000,000,000,000 kg.

Which has greater mass, Earth or Uranus?

Distance between Sun and Saturn is 1,433,500,000,000 m and distance between Saturn and Uranus is 1,439,000,000,000 m. Can you read these numbers? Which distance is less?

These very large numbers are difficult to read, understand and compare. To make these numbers easy to read, understand and compare, we use exponents. In this Chapter, we shall learn about exponents and also learn how to use them.

13.2 EXPONENTS

We can write large numbers in a shorter form using exponents.

Observe 10, 000 = 10 × 10 × 10 × 10 = 104

The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the base and ‘4’ the exponent. The number 104 is read as 10 raised to the power of 4 or simply as fourth power of 10. 104 is called the exponential form of 10,000.

We can similarly express 1,000 as a power of 10. Since 1,000 is 10 multiplied by itself three times,

                                                  1000 = 10 × 10 × 10 = 103

 We have used numbers like 10, 100, 1000 etc., while writing numbers in an expanded This can be written as 4 × 104 + 7 ×103 + 5 × 102 + 6 × 10 + 1. Try writing these numbers in the same way 172, 5642, 6374.

In all the above given examples, we have seen numbers whose base is 10. However the base can be any other number also. For example:

81 = 3 × 3 × 3 × 3 can be written as 81 = 34, here 3 is the base and 4 is the exponent.

Some powers have special names. For example,

102, which is 10 raised to the power 2, also read as ‘10 squared’ and 103, which is 10 raised to the power 3, also read as ‘10 cubed’. Can you tell what 53 (5 cubed) means?

                                                53 = 5 × 5 × 5 = 125

So, we can say 125 is the third power of 5. What is the exponent and the base in 53?

Similarly, 25 = 2 × 2 × 2 × 2 × 2 = 32, which is the fifth power of 2. In 25, 2 is the base and 5 is the exponent.

In the same way,                      243 = 3 × 3 × 3 × 3 × 3 = 35

                                                 64 = 2 × 2 × 2 × 2 × 2 × 2 = 26

                                                  625 = 5 × 5 × 5 × 5 = 54

Find five more such examples, where a number is expressed in exponential form. Also identify the base and the exponent in each case. You can also extend this way of writing when the base is a negative integer. What does (–2)3 mean?

                                                  It is (–2)3 = (–2) × (–2) × (–2) = – 8

                                                  Is (–2)4 = 16? Check it.

Instead of taking a fixed number let us take any integer a as the base, and write the numbers as,

                                                    a × a = a2 (read as ‘a squared’ or ‘a raised to the power 2’)

                                                    a × a × a = a3 (read as ‘a cubed’ or ‘a raised to the power 3’)

                                                    a × a × a × a = a4 (read as a raised to the power 4 or the 4th power of a)
                                                     ..............................

                                                    a × a × a × a × a × a × a = a7 (read as a raised to the power 7 or the 7th power of a) and so on.

                                                    a × a × a × b × b can be expressed as a3b2 (read as a cubed b squared)

Please refer to attached file for NCERT Class 7 Maths Exponents and Powers

Mathematics NCERT Book Class 7 Chapter 13 Exponents and Powers

The above NCERT Books for Class 7 Mathematics Chapter 13 Exponents and Powers have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 13 Exponents and Powers 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 13 Exponents and Powers NCERT etextbooks as the exams for Class 7 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 7 Chapter 13 Exponents and Powers 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 13 Exponents and Powers

The latest NCERT book for Chapter 13 Exponents and Powers 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 13 Exponents and Powers 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 13 Exponents and Powers NCERT Book Class 7 Mathematics

As the students of Class 7 need the books for their regular studies, we have provided all NCERT book for Chapter 13 Exponents and Powers in pdf here for free download. All pdf NCERT books available here for Class 7 will help them to read on their mobile or computers. They can take a print of the Class 7 Mathematics NCERT Book Chapter 13 Exponents and Powers pdf easily and use them for studies. The NCERT textbooks for Class 7 Mathematics have been provided chapter-wise and can be downloaded for free of cost. 

Class 7 Mathematics Chapter 13 Exponents and Powers NCERT Book

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Class 7 Chapter 13 Exponents and Powers NCERT Book Mathematics

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