NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers is a comprehensive guide that efficiently covers the most basic concepts of exponents, their properties, types, and laws. With these solutions, students can learn that the exponent is a value that shows how many times a base number will multiply by itself. The number raised by power is known as the base, while the superscript number above it is the exponent or power. There are four types of exponents-- positive exponents, negative exponents, zero exponents, and rational exponents. This type of symmetric learning of this topic is significant for algebra and other topics in both class 8 and class 10. Therefore, gaining a deep understanding of all concepts included in this topic is crucial for students.
NCERT Solutions Class 8 Maths Chapter 12 efficiently promotes the knowledge of these exponents and their properties through practical examples as well as sample questions. The topics covered in the Class 8 Maths NCERT solutions Chapter 12 Exponents and Powers are competent to lay a strong foundation for advanced studies in physics and maths. With the thorough practice of all the questions available in these solutions, students will explore the vocabulary related to the exponents and their rules. Learning the core basics of this topic will also promote students’ practical knowledge to apply maths in real-world situations like calculating the distance between the moon and earth. You can also find some more interesting facts in the exercises given below.
NCERT Solutions for Class 8 Maths Chapter 12 PDF
NCERT solutions maths for class 8 Chapter 12 are designed by experts to promote basic problem-solving skills and logical thinking in students. The examples and questions incorporated in these exercises are apt to learn the detailed characteristics of exponents and their laws. To prepare with these solutions, click on the links of the pdf files given below.
☛ Download Class 8 Maths NCERT Solutions Chapter 12
NCERT Class 8 Maths Chapter 12
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers
Exponents and Powers is an important topic that holds significance in maths studies. Therefore, students must gain a deep understanding of each topic by regularly practicing with NCERT solutions Class 8 Maths Chapter 12 Exponents and Powers. These solutions are exclusively designed as per the latest CBSE syllabus to help kids prepare well for the final exam. Carefully aligned with the NCERT textbooks, these solutions are a fantastic resource to make learning easy for students. The well-organized format of these solutions promotes the strategic learning of all concepts through various examples and problems. To learn and practice with NCERT Solutions Class 8 Maths Exponents and Powers, try the exercises given below.
- Class 8 Maths Chapter 12 Ex 12.1 - 7 Questions
- Class 8 Maths Chapter 12 Ex 12.2 - 4 Questions
Topics Covered: The NCERT solutions Class 8 maths Chapter 12 primarily focuses on the law of exponents, powers, and their applications. The main topics covered in these solutions are powers with negative exponents, laws of exponents, the use of exponents to express small numbers in standard form, comparing very large and small numbers.
Total Questions: Class 8 Maths Chapter 12 Exponents and Powers has 11 questions out of which are all short answers type. These sums are primarily based on evaluating the expressions and expressing them in their standard form.
List of Formulas in NCERT Solutions Class 8 Maths Chapter 12
There are seven exponent rules, or laws of exponents, that apply to these exponent equations, and every student needs to learn them. Memorizing these laws is also essential to achieve good marks in the class 8 maths exam. NCERT solutions class 8 maths Chapter 12 covers all the necessary laws of exponents explained with examples for students to gain an in-depth understanding. Some important formulas covered in these solutions are given below:
- Product of Powers Rule: If multiplying two bases with the same value, write the base the same and then add the exponents to get the solution. I.e, am x an = am+n
- The Quotient of Powers Rule: When dividing two bases of the same value, keep the base the same and subtract the exponent values. I.e., am ÷ an = am-n
- Power of a Power Rule: This rule is used to solve exponent equations where one exponent power is raised by another power. In such equations, multiply the exponents together by keeping the same base. I.e., (am )n = amn
- Power of a Product Rule: When any base is being multiplied by an exponent, distribute the exponent to each part of the base. I.e., (ab)m = am × bm
- Power of a Quotient Rule: This rule is about raising a quotient by a power. In this rule, the exponent needs to be distributed to all values of a quotient within the brackets. I.e., (a ÷ b)m = am ÷ bm
- Zero Power Rule: Any base raised to the power of zero is equal to one. I.e., a0 = 1
- Negative Exponent Rule: When a number has a negative exponent, flip it into a reciprocal to turn the exponent into a positive exponent. I.e, a-m= 1/am
FAQs on NCERT Solutions Class 8 Maths Chapter 12
What is the Importance of NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers?
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers are trustworthy resources formulated as per NCERT books and CBSE syllabus to help students with their maths studies. With the thorough practice of these solutions, students can quickly attain the right problem-solving approach for math studies. The format of these solutions is quite simple to deliver all the knowledge of complex concepts efficiently.
What are the Important Topics Covered in NCERT Solutions Class 8 Maths Chapter 12?
NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers covers a brief introduction to the Exponents and Powers, related terms, laws of exponents, use of exponents to express small numbers in standard form, comparing very large and small numbers. Thus, an equal amount of time must be devoted to each topic as they are all important.
Do I Need to Practice all Questions Provided in Class 8 Maths NCERT Solutions Exponents and Powers?
NCERT Solutions Class 8 Maths Exponents and Powers includes all important questions, notes, and examples to impart the stepwise knowledge of solving expressions with exponents. These solutions are proficient in promoting confidence and a positive approach in students to overcome exam fear. Thus, it is vital for kids to practice all questions.
How Many Questions are there in Class 8 Maths NCERT Solutions Chapter 12 Exponents and Powers?
NCERT Class 8 Maths Chapter 12 Exponents and Powers has a total of 11 questions in 2 exercises that adequately cover all the important concepts related to exponents and their applications. Sample problems provided in these solutions are based on the NCERT books to offer full coverage of the syllabus.
What are the Important Formulas in NCERT Solutions Class 8 Maths Chapter 12?
The important concepts covered in the NCERT Solutions Class 8 Maths Chapter 12 are based on the laws of exponents and their applications. These solutions are well-organized resources provided with step-by-step examples and exercises that impart an explicit understanding of all these concepts. By thoroughly practicing each topic of these solutions, students will attain the necessary skills for lifelong math success.
Why Should I Practice Class 8 Maths NCERT Solutions Exponents and Powers Chapter 12?
NCERT solutions class 8 maths exponents and powers chapter 12 are trustworthy resources that provide a comprehensive understanding of all topics and sub-topics included in this lesson. Learning with these solutions ensures good marks in maths exams that encourage the students to build the right approach for math learning.