NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers (EX 13.3) Exercise 13.3
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Regular practise of mathematics problems improves students’ ability to think logically and prepares them to solve problems in real life.Knowledge of mathematical principles is essential for learning the topics of other subjects such as Chemistry, Accountancy, Social Science, etc. Class 7 students need to prepare effectively for the upcoming Mathematics examination. All the chapters in the syllabus are important from the perspective of the examination.
Extramarks can assist students who are having difficulty preparing for the mathematics examination on their own.It is among the best online learning platforms, andit has all the study materials required for performing well in the examinations. The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are available on Extramarks and are helpful in getting the required solutions to solve the problems of Exercise 13.3. Class 7 students will be able to score well in the final examinations with the assistance of Extramarks. Students could trust the study resources of Extramarks. All students from ICSE, CBSE, and other major state boards can easily access various study materials from the Extramarks learning platform.
It is important for students to stick to the NCERT textbook for practising the questions of Class 7 Mathematics. The NCERT textbooks are very significant for getting a thorough understanding of the theoretical portions of chapters. The exercise questions given in the textbook are important from an examination point of view. All the questions in the textbook are helpful in preparing for the Mathematics examination. The NCERT textbook of Class 7 Mathematics has numerous solved examples which are asked on the basis of each of the topics in the chapters. Solved examples are beneficial for students to improve their preparation. Students must go through solved examples in order to do well in the Mathematics examination. It is critical for students to ascertain the topics that will have more weightage in the final exam and prepare accordingly. Students will get familiar with higherweightage topics if they solve past years’ papers from time to time.
Class 7 students who are finding it hard to practise questions from Maths Class 7 Chapter 13 Exercise 13.3 should refer to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3. They are available in PDF format on Extramarks. Students must practise questions from each chapter of the textbook when preparing for the examinations. The NCERT textbooks have exercises that are significant from the examination perspective. Solving questions given in the NCERT textbooks is important for improving students’ performance in the examinations.The National Council of Educational Research and Training (NCERT) is the body that has the authority to publish textbooks for all the classes on the CBSE Board. The NCERT textbooks are very reliable resources for examination preparation. All the concepts are very well explained in the textbook. Students need to keep referring to them during their examination preparation.
The main topic of Chapter 13 is Exponents and Powers. It is one of the important chapters from the examination perspective. Students are advised to keep practising questions of the chapter to score well in the Mathematics examination. Chapter 13 includes 3 exercises that students need to practise from time to time. Regular practise of exercises will enable students to boost their examination preparation.Students who are having trouble practising exercises can seek help from the Extramarks learning platform.The NCERT solutions available on Extramarks are very essential for practising exercises in Mathematics. The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are available in PDF format on Extramarks. Students can refer to them in offline mode as well after downloading them.
The question paper of Mathematics needs to be solved within a specific time duration. It is necessary for students to manage their time effectively while solving the question paper of Mathematics. Students will be able to learn better time management skills if they practise questions under timed conditions. Practising questions with the assistance of the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 is beneficial for learning better time management skills. There are 4 questions included in Class 7 Maths Ch 13 Ex 13.3. Question 1 requires students to expand the given numbers. Students who are unable to solve this question can refer to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3. Students are required to find the number from the given expanded forms in question 2. The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 should be used to get a proper solution to this question.
Examinations play a crucial role in the development of students’ careers. Students should focus well on each subject to prepare well for the examinations.Students in Class 7 who are preparing for upcoming examinations can take assistance from the Extramarks learning platform.They can access all the required study materials from Extramarks and score well in the examinations. Students should use Extramarks to access the revision notes for the Mathematics chapters. The revision notes are beneficial for getting a quick revision of all the important formulae and derivations from the chapters. Many of the topics in Class 7 Mathematics are new to students. They need to get familiar with the methods of solving questions from the new topics. Class 7 students should take advantage ofthe live classes available on the Extramarks learning platform. The live classes of Extramarks are very essential for enhancing the learning experience of students. They are conducted by highly qualified mentors who are very experienced.
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers (EX 13.3) Exercise 13.3
The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are accessible on the Extramarks website and mobile application. Students in Class 7 will also be able to download NCERT solutions for all the chapters of Mathematics from Extramarks. It is important for students to practise as many questions as possible to be well prepared for the examinations. The NCERT solutions are beneficial for solving questions on a regular basis. These solutions are given in simple, easytounderstand language for easy understanding. The questions of Exercise 13.3 Class 7th are based on the topic named Decimal Number System. Students who are unable to solve questions of Exercise 13.3 should refer to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3. All the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are given in a simple and easytounderstand language. Students in Class 7 must revise the formulae and definitions enclosed in Chapter 13 from time to time. Revision is required to keep them in memory for a longer period of time.Students will be able to revise all the formulas and concepts specific to questions by referring to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3. It is recommended for students to practise past years’ papers and sample papers of Mathematics. Previous years’ mathematics papers are critical for understanding the pattern of mathematics question papers.They will also become familiar with the types of questions that may appear on the mathematics exam paper.Class 7 students can easily download past years’ papers of Mathematics from Extramarks. The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are also helpful for solving questions from past years’ papers.
Access NCERT Solution for Class 7 Maths Chapter 13 – Exponents and Powers
The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are available on the Extramarks learning platform in PDF format. Class 7 students will be able to score higher marks in the Mathematics examination by referring to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3.
Q.1
$\begin{array}{l}\text{Write the following numbers in the expanded forms:}\\ \text{279404, 3006194, 2806196, 120719, 20068}\end{array}$
Ans
$\begin{array}{l}279404=2\times 1{0}^{5}+7\times 1{0}^{4}+9\times 1{0}^{3}+4\times 1{0}^{2}+0\times 1{0}^{1}+4\times 1{0}^{0}\\ 3006194=3\times 1{0}^{6}+0\times 1{0}^{5}+0\times 1{0}^{4}+6\times 1{0}^{3}+1\times 1{0}^{2}\\ +9\times 1{0}^{1}+4\times 1{0}^{0}\\ 2806196=2\times 1{0}^{6}+8\times 1{0}^{5}+0\times 1{0}^{4}+6\times 1{0}^{3}+1\times 1{0}^{2}\\ +9\times 1{0}^{1}+6\times 1{0}^{0}\\ 120719=1\times 1{0}^{5}+2\times 1{0}^{4}+0\times 1{0}^{3}+7\times 1{0}^{2}+1\times 1{0}^{1}+9\times 1{0}^{0}\\ 20068=2\times 1{0}^{4}+0\times 1{0}^{3}+0\times 1{0}^{2}+6\times 1{0}^{1}+8\times 1{0}^{0}\end{array}$
Q.2
$\begin{array}{l}\text{Find the number from each of the following expanded forms:}\\ \left(\text{a}\right){\text{\hspace{0.33em}8 \xd710}}^{\text{4}}{\text{+ 6 \xd710}}^{\text{3}}{\text{+ 0\xd710}}^{\text{2}}{\text{+ 4\xd710}}^{\text{1}}{\text{+ 5\xd710}}^{\text{0}}\\ \left(\text{b}\right){\text{\hspace{0.33em}4 \xd710}}^{\text{5}}{\text{+ 5\xd710}}^{\text{3}}{\text{+ 3\xd710}}^{\text{2}}{\text{+ 2\xd710}}^{\text{0}}\\ \left(\text{c}\right){\text{\hspace{0.33em}3 \xd710}}^{\text{4}}{\text{+ 7\xd710}}^{\text{2}}{\text{+ 5\xd710}}^{\text{0}}\\ \left(\text{d}\right){\text{\hspace{0.33em}9 \xd710}}^{\text{5}}{\text{+ 2\xd710}}^{\text{2}}{\text{+ 3\xd710}}^{\text{1}}\end{array}$
Ans
$\begin{array}{l}\left(\text{a}\right){\text{\hspace{0.33em}8 \xd710}}^{\text{4}}{\text{+ 6 \xd710}}^{\text{3}}{\text{+ 0\xd710}}^{\text{2}}{\text{+ 4\xd710}}^{\text{1}}{\text{+ 5\xd710}}^{\text{0}}\text{\hspace{0.33em}=\hspace{0.33em}86045}\\ \left(\text{b}\right){\text{\hspace{0.33em}4 \xd710}}^{\text{5}}{\text{+ 5\xd710}}^{\text{3}}{\text{+ 3\xd710}}^{\text{2}}{\text{+ 2\xd710}}^{\text{0}}\text{\hspace{0.33em}=\hspace{0.33em}405302}\\ \left(\text{c}\right){\text{\hspace{0.33em}3 \xd710}}^{\text{4}}{\text{+ 7\xd710}}^{\text{2}}{\text{+ 5\xd710}}^{\text{0}}\text{\hspace{0.33em}=\hspace{0.33em}30705}\\ \left(\text{d}\right){\text{\hspace{0.33em}9 \xd710}}^{\text{5}}{\text{+ 2\xd710}}^{\text{2}}{\text{+ 3\xd710}}^{\text{1}}\text{\hspace{0.33em}=\hspace{0.33em}900230}\end{array}$
Q.3
$\begin{array}{l}\text{Express the following numbers in standard form:}\\ \left(\text{i}\right)\text{\hspace{0.33em}5,00,00,000}\\ \left(\text{ii}\right)\text{\hspace{0.33em}70,00,000}\\ \left(\text{iii}\right)\text{\hspace{0.33em}3,18,65,00,000}\\ \left(\text{iv}\right)\text{\hspace{0.33em}3,90,878}\\ \left(\text{v}\right)\text{\hspace{0.33em}39087.8}\\ \left(\text{vi}\right)\text{\hspace{0.33em}3908.78}\end{array}$
Ans
$\begin{array}{l}\left(\text{i}\right){\text{\hspace{0.33em}5,00,00,000\hspace{0.33em}=\hspace{0.33em}5\xd710}}^{\text{7}}\\ \left(\text{ii}\right){\text{\hspace{0.33em}70,00,000\hspace{0.33em}=\hspace{0.33em}7\xd710}}^{\text{6}}\\ \left(\text{iii}\right){\text{\hspace{0.33em}3,18,65,00,000\hspace{0.33em}=\hspace{0.33em}3.1865\xd710}}^{\text{9}}\\ \left(\text{iv}\right){\text{\hspace{0.33em}3,90,878\hspace{0.33em}=\hspace{0.33em}3.90870\xd710}}^{\text{5}}\\ \left(\text{v}\right){\text{\hspace{0.33em}39087.8\hspace{0.33em}=\hspace{0.33em}3.90878\xd710}}^{\text{4}}\\ \left(\text{vi}\right){\text{\hspace{0.33em}3908.78\hspace{0.33em}=\hspace{0.33em}3.90878\xd710}}^{\text{3}}\end{array}$
Q.4
$\begin{array}{l}\text{Express\hspace{0.33em}the\hspace{0.33em}number\hspace{0.33em}appearing\hspace{0.33em}in\hspace{0.33em}the\hspace{0.33em}following}\\ \text{statements\hspace{0.33em}in\hspace{0.33em}standard\hspace{0.33em}form.}\\ \left(\text{a}\right)\text{\hspace{0.33em}The\hspace{0.33em}distance\hspace{0.33em}between\hspace{0.33em}Earth\hspace{0.33em}and\hspace{0.33em}Moon\hspace{0.33em}is\hspace{0.33em}384,000,000 m.}\\ \left(\text{b}\right)\text{Speed\hspace{0.33em}of\hspace{0.33em}light\hspace{0.33em}in\hspace{0.33em}vacuum\hspace{0.33em}is\hspace{0.33em}300,000,000\hspace{0.33em}m/s.}\\ \left(\text{c}\right)\text{\hspace{0.33em}Diameter of the Earth is 1,27,56,000 m.}\\ \left(\text{d}\right)\text{\hspace{0.33em}Diameter of the Sun is 1,400,000,000\hspace{0.33em}m.}\\ \left(\text{e}\right)\text{\hspace{0.33em}In a galaxy there are on an average 100,000,000,000\hspace{0.33em}stars}\\ \left(\text{f}\right)\text{The universe is estimated to be about 12,000,000,000\hspace{0.33em}years old.}\end{array}$
$\begin{array}{l}\left(\text{g}\right)\text{\hspace{0.33em}The distance of the Sun from the centre of the Milky}\\ \text{Way Galaxy is estimated tobe}\\ \text{300,000,000,000,000,000,000 m.}\\ \left(\text{h}\right)\text{\hspace{0.33em}60,230,000,000,000,000,000,000 molecules are}\\ \text{contained in a drop of waterweighing 1.8 gm.}\\ \left(\text{i}\right)\text{\hspace{0.33em}The earth has 1,353,000,000 cubic km of sea water.}\\ \left(\text{j}\right)\text{\hspace{0.33em}The population of India was about 1,027,000,000\hspace{0.33em}in March, 2001.}\end{array}$
Ans
\begin{array}{l}\text{(a) 3}\text{.84}\times {\text{10}}^{8}\text{\hspace{0.17em}}\text{m}\\ \text{(b) 3}\times {\text{10}}^{8}\text{\hspace{0.17em}}\text{m/s}\\ \text{(c) 1}\text{.2756}\times {\text{10}}^{7}\text{\hspace{0.17em}}\text{m}\\ \text{(d) 1}\text{.4}\times {\text{10}}^{9}\text{\hspace{0.17em}}\text{m}\\ \text{(e) 1}\times {\text{10}}^{11}\text{\hspace{0.17em}}\text{stars}\\ \text{(f) 1}\text{.2}\times {\text{10}}^{10}\text{\hspace{0.17em}}\text{years}\\ \text{(g) 3}\times {\text{10}}^{20}\text{\hspace{0.17em}}\text{m}\\ \text{(h) 6}\text{.023}\times {\text{10}}^{22}\\ \text{(i) 1}\text{.353}\times {\text{10}}^{9}\text{\hspace{0.17em}}\text{cubic}\text{\hspace{0.17em}}\text{km}\\ \text{(j) 1}\text{.027}\times {\text{10}}^{9}\end{array}
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FAQs (Frequently Asked Questions)
1. Which is the best source for accessing the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3?
Students can access the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 from the Extramarks website and mobile application. All the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are available in a simple format so that students can easily utilise them.
2. What are the benefits of referring to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3?
There are many benefits of referring to the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3. The NCERT Solutions For Class 7 Maths Chapter 13 Exercise 13.3 are beneficial for enhancing the performance of students in the final examination of Mathematics. Students will be able to improve their methods of solving questions by utilising the Class 7 Maths Chapter 13 Exercise 13.3 Solutions. The NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3 are beneficial for learning to give stepwise solutions to questions in the examination. Moreover, students will learn to manage their time efficiently if they practice questions with the NCERT Solutions Class 7 Maths Chapter 13 Exercise 13.3.
3. How can students score higher marks in the Mathematics examination?
Students must practise questions from all the chapters from time to time. Each exercise needs to be practised well before appearing for the examination. They are also advised to continue practising past years’ papers and sample papers of Mathematics in order to improve their preparation for the final exam.To effectively practise questions, students should revise theorems, formulae, definitions, and so on related to each chapter several times.While preparing for the final mathematics examination, study resources such as the NCERT Solutions for Class 7 Maths, Chapter 13, Exercise 13.3, should be used.