NCERT Exemplar Class 7 Maths Chapter 11 Solutions: Exponents and Powers

NCERT Exemplar Class 7 Maths Solutions Chapter 11 are created to guide you through difficult concepts. The major topics covered in these exemplar exercise solutions are the introduction to exponents and powers, the expanded form and the exponential form of representation, and the scientific notation. You will also learn various crucial identities used in exponents. Understanding this chapter of NCERT Exemplar Class 7 Maths will help you get through many concepts in your higher classes. From the exam perspective, students tend to commit very little mistakes in this chapter, therefore you should practice these questions in a rigorous manner.

There are 97 questions that will help you in extensive grinding in this chapter. You will get all possible kinds of questions in the NCERT Exemplar Maths Class 7 book to aid you in exponents. This is a very scoring and easy topic. The questions are of varying types and cover almost all the patterns that might come in the CBSE exams.

With the help of the online guidance program by Instasolv with the help of the exemplar solutions, you will be able to outsmart the smartest kids of your batch. The experts of maths at Instasolv have thoroughly explained the most frequently occurring doubts in students, thus helping you to gain an edge over the difficult topics of your syllabus. We, at Instasolv, have written step by step answers in detail to every question of the exercise.

Summary of Important Topics Covered in NCERT Exemplar Class 7 Maths Solutions Chapter 11

Introduction to Exponents:

  1. If there are large numbers mentioned anywhere, we can make use of exponents to express them in a shorter notation and therefore perform, and interpret the operations on such numbers in comparatively lesser time.
  2. An exponential form of number is such that if the base is multiplied to itself the number of times as is the power, we will obtain the given number.
  3. Mathematical representation of exponential form:

a X a X a X a=a4, this can be read either as ‘a’ raised to the exponent 4 or the fourth power of a. 

In this case, ‘a’ is the base and 4 is the exponent, while a4is the exponential form.

The expanded form can be given as a X a X a X a

Various Identities of Exponents:

The following results can help in solving the problems of exponents very easily, hence, it is essential to memorise all these properties:

Note that, if the exponent is 0, the number becomes 1 whereas if the base is negative of unity and an exponent is an even number, the value of the number will eventually become 1, but in case of an odd number as power, the value of the number will remain as -1.

Scientific Notation:

If a number is written in the decimal form that lies between 1.0 and 10.0 multiplied by any power of 10, it is said to be written in scientific notation or standard form.

Exercise Discussion of NCERT Exemplar Class 7 Maths Solutions Chapter 11

  1. Questions from 1 to 22 are MCQs where you will have to recall and practice applications of all the identities in this chapter.
  2. 23 to 40, you will be required to complete the mathematical notations by filling in the blanks.
  3. In questions 41 to 65, you will be required to check if the word problems and mathematical statements are correct or incorrect.
  4. Lastly, from 66 to 97, there are long answer type subjective word problems consisting of error-finding exercises, word problems, scientific notations and other applications of exponents and powers in this chapter.

Why use NCERT Exemplar Class 7 Maths Solutions Chapter 11 by Instasolv?

  1. Instasolv is an interactive platform that will help you sort out your doubts instantly while practising the NCERT Exemplar questions.
  2. The experts of Instasolv intend to make the concepts interesting as well as easy which will help you stay in touch with the subject for a long time.
  3. Instasolv’s prime objective is to help you in understanding the practicality of the subjects in a detailed manner thus helping you build a strong foundational base at the right stage.

All of it will add on to help you score amazing marks in NCERT Exemplar Class 7 Chapter 11 ‘exponents and powers’.