NCERT Solutions for Class 8 Mathematics Chapter 12 – Exponents and Powers
Class 8, 9, and 10 Mathematics is crucial for students as it builds the foundation for Class 11 and 12. Mathematics will be a central subject for many higher education courses. It is used in our day-to-day lives and also increases our problem-solving skills and has proven beneficial in our lives.
Chapter 12 of Class 8 Mathematics – Exponents and Powers helps one learn how to write large numbers in the simplest form. Students will learn to convert the long numbers into their powers and learn about various laws of exponents in this chapter, which will be used in calculations.
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Lakhs of students have relied on the Extramarks’ platform for studying and preparing for their examinations. Extramarks provides comprehensive study materials, including NCERT Solutions, chapter notes, revision notes, important questions and answers, etc. So once students register on the Extramarks’ website, they don’t have to worry about gathering different study material from various sources. Extramarks’ is a one-stop solution for their studies.
Key Topics Covered In NCERT Solutions for Class 8 Mathematics Chapter 12
In the chapter Exponents and Power, we will cover the topics like converting a larger number into Exponential form. You will also learn about the Power of Negative Exponents, the uses of exponents to express small numbers in standard form and the Law of Exponents. You will also be provided with some examples to understand more about powers. You can refer to NCERT Solutions for Class 8 Mathematics Chapter 12, available on the Extramarks’ website.
Extramarks’ website is a reliable and trusted source to look upon. One can regularly check the website to remain updated about the most recent CBSE syllabus and any curriculum-related news.
You will have a thorough understanding of exponents and powers, how they are used in calculations, and how accurate they are once you have finished this chapter. As a result, you’ll develop excellent mathematical skills and have a quick, accurate understanding.
Introduction
In this chapter, We’ll study exponent. Exponents will be used to reduce greater numbers to smaller values. You can reduce a greater number to a smaller one in this way.
For example, there is a large number 1500000000000000 that we can convert into Exponents and write as 15 x 10^15.
To get further practice, please refer to our NCERT Solutions for Class 8 Mathematics Chapter 12. Students can register on the Extramarks’ website and get full access to our study materials.
Power with Negative Exponents
This part of the chapter covers the nature of power and is expressed in two ways.
for example, a^m, where a=Base, m=Power
for example, a^(-m), where a=Base, m=Power
- It’s also called the Multiplicative Inverse of a^m.
Since many Class 8 students mistake the power of exponents, solving exponential equations can be challenging. Exponents have been clearly explained with several examples in our NCERT Solutions for Class 8 Mathematics Chapter 12 by our academic experts. To completely comprehend the topic of exponents, it is advised that students consult our study materials.
Law of Exponents
In the above section, we covered the positive exponents and negative exponents. In this section, you will learn about the process and law applied to positive and negative exponents. The theory is applied to non-zero integers.
In this section, there are two exponents whose base is the same for both. Then we multiply both the exponents, and both the powers will be added.
for example, a^b x a^y = a^(b+y)
In this section, there are two exponents whose base is the same. We divide both exponents. The power will be subtracted from each other. For example, a^b / a^y = a^(b-y).
For further understanding about the law of exponents and to clear their doubts, students can visit Extramarks’ website and refer to our NCERT Solutions for Class 8 Mathematics Chapter 12.
Use of Exponents to Express Small Numbers in Standard Form
We use some examples of exponents to make a large number more convenient and reliable.
Observe the following facts.
- The distance between the earth and the sun is 1,49,600,000,000 m.
- The light speed is 300,000,000 m/sec.
- The thickness of the class VIII Mathematics book is 20 mm.
- The height of Mount Everest is 8848 m.
- The Sun’s average radius is 695000 km.
Comparing very large and very small numbers.
In this part, we can compare the distance from the earth to the sun and from the earth to the moon.
Our NCERT Solutions for Class 8 Mathematics Material 12 provide several solved examples and learning techniques to help students study the chapter more easily. Students can register on Extramarks’ website and get full access to our NCERT Solutions.
NCERT Solutions for Class 8 Mathematics Chapter 12 Exercises & Solutions.
Mathematics is fun, but it also requires a lot of practice. Extramarks’ understands the importance of regularly solving questions to score good marks in Mathematics exams. So we have included hundreds of questions in our study materials.
In this chapter, students have learned about Exponents and Powers. Students can refer to our NCERT Solutions for Class 8 Mathematics Chapter 12 to access all study materials related to the Exponents and Powers chapter. In our study material, we give a lot of questions to practise, covering all the theoretical and conceptual-based questions. Our solutions also cover all the past years’ CBSE board exam questions. Students will start to clear their doubts and get clarity on all topics by completing these exercises.
Click on the below links to view exercise-specific questions and solutions for NCERT Solutions for Class 8 Mathematics Chapter 12:
Exponents and Powers Class 8 – Exercise and Solutions
Extramarks’ website, the online platform trusted by millions of students and teachers, is the right source for all types of solutions and exercises. You can visit the website anytime to access any study material you want.
Along with Class 8 Mathematics solutions, you can explore NCERT Solutions on our Extramarks’ website for all primary and secondary classes.
NCERT Exemplar Class 12 Mathematics
NCERT Exemplar books contain many practice questions and cover all the topics in the NCERT textbook. NCERT Exemplars are available for the subjects of Mathematics and Science from Class 6 to 12. It makes answering questions easier for students. Some of them are directly asked in entrance exams like JEE, NEET, WBJEE, etc.
These books play an important role in building the foundation and boosting the student’s confidence. They develop a more thinking-oriented perspective that facilitates solving the maximum numerical problems with improved accuracy. As a result, the NCERT Exemplar has been beneficial to students at every stage of their preparation.
NCERT Solution also provides lots of questions to practice for your examinations. You can score well by referring to both resources. To avail of our study material, you can visit Extramarks’ website and register.
Key Features of NCERT Solutions Class 8 Mathematics Chapter 12
NCERT Solutions Class 8 Mathematics Chapter 12 is available on our Extramarks website. You can include it in your preparation to stand out in your class.
Below are a few of the reasons why students should choose our NCERT Solutions:
- Our study material is prepared by experts who have specialized knowledge in Mathematics.
- Our study material language is simple and easy for a Class 8 student to understand.
- Our study material covers study notes for the full chapter topics, sub-topics, and concepts. It also includes revision notes and questions that will help students in exam preparation.
- In our study material, we cover the past years’ questions that students will require to score well in the CBSE Board examinations.