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NCERT Solutions for Class 7 Maths Chapter 13 – Exponents and Powers

NCERT Solutions for Class 7 Maths Chapter 13 is about simplifying the operations of large numbers using the maths concept of Exponents and Powers. In NCERT Solutions we have covered a total of 3 exercises and 17 questions. The Chapter covers the concept of exponents and decimal number systems. In Chapter 13, Exponents and Powers, we will also study the standard form of expressing large numbers.

Class 7 NCERT Solutions for Chapter 13 ‘Exponents and Powers’ is based on the latest CBSE approved syllabus. At Instasolv, our subject matter experts have provided the most sought-after study material for Class 7 Maths exam preparation. You will find Chapter-wise Solutions of NCERT Class 7 Maths Book that help you in understanding the concepts of Chapter 13 better.

Chapter 13 Exponents and Powers, of CBSE NCERT Class 7 Maths Book introduces you to Exponents and Powers. You will learn to deal with large numbers using the simplified standard form that will be applied often in practical use. For the Maths subject in Class 7, we explain the important elements and summarise each part and subpart of the Chapter. At Instasolv, we follow the same sequence as in the book so that it becomes easy to understand and help as a reference. You will be able to strengthen your concepts and score high marks in the exams.

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers: Exercise Discussion

There is a total of 17 questions available in Chapter 13 of NCERT Solutions for Class 7 Maths. The questions are based on the topics discussed below. Make sure you go through each of the concepts thoroughly. 

Introduction – Large numbers need to be used and understood. The mass of the earth, the distance between the earth and the moon, the number of platelets in a blood sample are all large. The population of the world, the economy of several countries are also examples of large numbers. Comparing or performing operations on such large numbers would be difficult. To simplify this and use standard forms that can be understood by all,  we study Exponents and Powers. 

Exponents – 

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 the fourth power of 10. 104 is called the exponential form of 10,000

Laws of Exponents – 

  • Multiplying Powers With the Same Base

When the base is the same, the powers by which the numbers are multiplied are added together to the result. 

For example 23 x 24 = 27

If the base is any non-zero integer, and the powers are whole numbers, then to multiply powers with the same base, we have to add the powers to the same base to get the result.

  • Dividing Powers by the Same Base

In this case, we subtract the powers. If the base is any non-zero integer and the powers of the number divided (numerator) and the divisor (denominator) are whole numbers, then to divide powers with the same base, we have to subtract the powers of the denominator from the power of the numerator. Apply to the same base to get the result.

The result will be equal or greater than one if the power of the numerator is greater than the power of the denominator. If it is the other way around it will be a negative power in the numerator which will be a number in decimals as we will study ahead.

  • Taking Power of a Power

Power of power implies multiplying the powers. So the base that has a power to a power applied is equal to the base to the power of the product of the two powers. 

Multiplying Powers With the Same Exponents

Here we are considering the case where the base is different but the exponent is the same. We multiply the base and keep the exponent the same to get the result.

Dividing Powers With the Same Exponents

We divide the base in this case and keep the same exponent to get the result.

Numbers with Exponent Zero

Any non-zero number whose exponent is zero is always equal to one.

Miscellaneous Examples Using the Laws of Exponents

This part of Chapter 13 of NCERT Class 7 Maths Book uses a combination of all the laws of exponents that have been discussed to solve some questions. 

Decimal Number System

We have already studied this previously in earlier chapters.

100 = 1

101 = 10

102 = 100 and so on

When the power or exponent is  zero the answer is 1

As power increases, the zeroes increase by the same number.

1/101 = 0.1

1/102 = 0.01

If the same powers increase in the divisor the zeros after the decimal increase. 

Expressing Large Numbers in the Standard Form

Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form.

The advantage of using a standard form is that it is universally understood and accepted. A comparison of large numbers is possible by first representing them in the standard form.

For example, if we compare the mass of the Earth and the mass of Uranus, let us check their value in the standard form

Mass of the earth = 5.97 x 1024 kg.

Mass of Uranus = 8.68 x 1025 kg

Since the mass of Uranus has a higher exponent it is greater in value.

Through Chapter 13 NCERT Solutions for Class 7 Maths, you will be able to understand each topic of the Chapter in detail. It is always suggested to follow the NCERT textbook for CBSE exam preparation, thus NCERT Solutions plays a vital role in your exam preparation.

Study Tips for NCERT Class 7 Maths  Chapter 4: Simple Equations  

Every student aims to get a high score in the Class 7 CBSE exams. Instasolv recommends that you read Chapter 13 ‘Exponents and Powers’ of NCERT textbook for Class 7 Maths.

Instasolv has provided a simple explanation and summary of each part. All of this can be used to develop a better understanding of all the concepts. 

  • If any concept is still not understood, ask the experts on the Instasolv app which does not charge any student for this support. 
  • Do all the exercises, solved examples and self-practice questions on your own before you cross-check from the solutions or ask the experts on the Instasolv app. 
  • Understanding and applying concepts simplify everything and any type of question can be answered easily.

Follow the NCERT Solutions for Class 7 Maths Chapter 13 extra questions and tips provided by our subject matter experts of Instasolv and score high marks in your CBSE Maths exam.