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# NCERT Solutions for Class 8 Maths chapter 10 Exercise 10.2 Exponents and Powers - PDF Download

NCERT solutions class 8 maths chapter 10 Exercise 10.2 in Exponents and Powers is composed of questions that are based on expressing numbers in standard form. This exercise also covers the topic of comparing very large and very small numbers. Class 8 maths chapter 10 exercise 10.2 NCERT solutions has examples and questions that go into detail about these topics so that students can understand them quickly.

Ex 10.2 class 8 maths solutions consists of four questions with its sub-parts. With regular practice of questions and examples in these solutions, you will be able to easily represent any number. Ex 10.2 class 8 maths chapter 10 NCERT solutions focuses on covering the topic with appropriate examples. The solutions are prepared by eSaral's subject experts with easy to understand language. Students can use these solutions to prepare for exams and achieve good marks. NCERT solutions are also available here in PDF format to download for free from the link provided here. You can download the free PDF and practice all the questions.

## Topics Covered in Exercise 10.2 Class 8 Mathematics Questions

NCERT solutions for ex 10.2 class 8 maths ch 10 is based on the topics of use of exponents to express small numbers in standard form and comparing very large and very small numbers. Questions of ex 10.2 can be solved if you comprehend these topics with proper understanding. For better understanding of these topics our experienced faculty of maths has explained them  in detailed manner.

 1 Use of Exponents to Express Small Numbers in Standard Form Comparing very large and very small numbers
1. Use of Exponents to Express Small Numbers in Standard Form

Sometimes, we need to write the numbers in very large or very small form, and we can use exponents to write them in very small numbers.

A. Standard form to write the natural numbers like xyz000000......

Step 1- The first step is to count the number of digits from left, leaving only the first number.

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.

For example - we can write the number 149000000000 in standard form 1.49×1011

B. Standard form to write decimal numbers like 0.00000.....xyz.

Step 1- We will 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. Now, 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- Calculate the number of digits in step 1 and subtract 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.

For ex. - we can write the number 0.000000564 in standard form 5.64×10-8

• Comparing very large and very small numbers

In order to compare the very large numbers and the very small numbers, we need to equalize their exponents. When the exponents are equal, we can compare them and see which number is large and which number is small.

To also add and subtract, we have to equalize their exponents and then we can easily add or subtract them.

## Tips for Solving Exercise 10.2 Class 8 Chapter 10 Exponents and Powers

NCERT solutions for ex 10.2 class 8 maths chapter 10 are well-structured resources written in an understandable language. Here, we provide some helpful tips to solve the questions of ex 10.2.

1. NCERT solutions for class 8 maths chapter 10 ex 10.2 are reliable and will provide you with the accurate solutions to all the important questions about the ex 10.2. Learning well with these solutions will help you find the right and step by step solutions to all questions in a systematic way.

2. Students are encouraged to practice all issues and examples to gain a thorough understanding of concepts of comparing very large and very small numbers.

3. By carefully studying all the topics provided in NCERT solutions class 8 Maths chapter 10 ex 10.2, students can master this exercise easily.

## Importance of Solving Ex 10.2 Class 8 Maths Chapter 10 Exponents and Powers

To excel in chapter 10 ex 10.2, students must practice a lot of questions from this exercise. Students can practice the questions of  class 8 chapter 10 ex 10.2 from the NCERT solutions provided by eSaral. Here are some important benefits of solving questions from NCERT solutions class 8 maths chapter 10 ex 10.2.

1. Questions in ex 10.2 class 8 maths are solved step by step and with easy methods by subject experts of eSaral which will provide you a clear idea on how to solve the questions in exams.

2. Concepts of use of exponents to express small numbers in standard form and comparing very large and very small numbers are described in most understandable language so that students can comprehend the topics and solve all the questions of ex 10.2.

3. By practicing and revising questions in NCERT solutions, students can also improve their time management.

4. These solutions are also available in PDF, you can download the PDF for future reference.