NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers provide a complete understanding of the concepts included in this chapter. Students often get confused in solving the NCERT exercises of Exponents and Powers. Our NCERT Solutions provide them with step by step guidance on how to solve every exercise question correctly. These solutions are based on the latest syllabus for Class 8 Maths and include all the required explanations. Students can download the NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers for free in pdf format from our website.
This chapter is based on the basic concepts of exponents, their properties and some identities related to exponents and powers. You must understand every concept of the chapter thoroughly before you start solving the exercises of the chapter. Given below are some important points related to NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers:
Exponents: The exponents tell us how many times a number is multiplied. The exponential form is written in the following manner:
1012
Here, 10 is known as the base, 12 is known as the exponents and this complete number is known as power.
Negative power of a number: For any non-zero integer a, a-m = 1/ am where m is a positive integer and a-m is the multiplicative inverse of am.
Laws of exponents:
Expressing small numbers in standard form using exponents
Step 1: First of all count the number of digits from left leaving only the first digit.
Step 2: To write it in exponent or standard form, write down the first digit.
Step 3: If there are more digits in the number then put a decimal after the first digit and then write down the other digits until the zero comes. And if there are no digits after the first digit then skip this step.
Step 4: Now place a multiplication sign and then write down the counted digits in the first step as the exponent to the base number 10.
Step 1: First of all count the number of digits from the decimal point to the last digit.
Step 2: If there is only one digit after the zeros then simply write down that digit. Place a multiplication sign and write down the counted digits in step-1 with a negative sign as the exponent to base number 10.
Step 3: If there are two or more non-zero digits at the end of the number. Then, write down the digits followed by a decimal point after the first digit and the other non-zero digits.
Step 4: Now calculate the number of digits in the first step and minus the number of digits appearing after the decimal point.
Step 5: Place a multiplication sign and write down the counted digits in step-4 with a negative sign as an exponent to base number 10.
This chapter includes 2 exercises and 9 unsolved problems. Both the exercises are important for your conceptual understanding which is why the askIITians experts have solved both the exercises separately. You can download the free NCERT Class 8 Maths Solutions for Chapter 12 pdf from our website and start preparing this chapter easily.
At askIITians, we not only provide NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers but also the additional study materials that will help you prepare this chapter well for the exams. These include revision notes for the chapter, extra questions, mind maps, flashcards, and daily practice worksheets. Use all these learning materials to practise the concepts of this chapter thoroughly and ensure higher marks in your exams.
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1
The first exercise of this chapter includes 7 questions. This exercise is based on the concepts of powers with negative exponents and laws of exponents. You must remember the laws of exponents thoroughly if you want to solve the questions of this exercise quickly and efficiently.
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.2
This exercise includes 2 questions. It is based on the concepts of using exponents to express small numbers in standard form and comparing very large and very small numbers. This is quite an interesting exercise. If you want to practice more questions related to the concepts of this exercise, you must check our extra questions for NCERT Class 8 Maths Exponents and Powers.
Important features of NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers by askIITians:
The NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers help students in understanding the concepts introduced in this chapter thoroughly. They include stepwise solutions that help students understand how to approach the questions in the examination.
The NCERT Solutions for Exponents and Powers include all the basic concepts of exponents, their properties and some identities related to exponents and powers
Yes, you must practice all the exercises of the chapter and if possible some extra questions as well. This will solidify your conceptual understanding of the chapter.