# NCERT Solutions For Class 6 Maths Chapter 8 Decimals (Ex 8.1) Exercise 8.1

## NCERT Solutions For Class 6 Maths Chapter 8 Decimals (Ex 8.1) Exercise 8.1

NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, provides point-by-point explanations of all questions mentioned in NCERT textbooks approved by the Central Board of Secondary Education (CBSE). Extramarks offers Class 6th Math Chapter 8 to help students clarify their questions through a comprehensive understanding of ideas. These NCERT Solutions For Class 6 Maths Chapter 8 are available in PDF format for students to download and study whenever it is convenient for them.

Decimals is an important chapter of Class 6 Maths. Students can practice different types of questions from the book, which is essential for any type of test and for their annual examinations. Students should utilize NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1. It is planned in an organized manner by Extramarks’ experts to provide the best techniques for dealing with the textbook questions and to ensure the best possible information for Class 6th Math Exercise 8.1. Extramarks recommends that students rehearse the CBSE Maths Class 6 Chapter 8 Exercise 8.1 textbook questions for their examinations. This creates a solid establishment of these ideas for the higher classes.

Class 6 Maths has a whole new concept that is totally different from what students have read until Class 5. Many students find it difficult to adjust to this unexpected change. It is sometimes not possible for schools and teachers to deal with the confusion that students face while solving Maths for their new class.

At this stage, students learn new concepts. Practice with textbook questions would be beneficial for them. It is also important for students to get a proper understanding. In addition to this, sufficient time and effort is needed to familiarize learners with these new ideas and concepts. Extramarks provide students with a variety of resources, such as solutions to all the chapters, notes, and worksheets, to help them stay on top in their class.

Class 6 worksheets provide students with the skills they need to excel in a variety of subjects, such as Maths, Science, English, etc. Understanding new ideas such as numbers and variables in maths is very important for school and competitive examinations.

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Maths is not a difficult subject. Extramarks always tells  the students that it just needs some extra time and effort. NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, provides proper guidance to students so they can understand the concepts needed to solve important problems. Extramarks has a faculty of people that are in the teaching profession for the better part of a decade, and they understand the importance of getting good marks in examinations. Therefore, they try their best to provide the best solutions to the students. Extramarks wants their students to do their best in examinations and therefore helps them in every possible way by providing solutions such as NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 . Extramarks’ subject specialists prepare NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 to help students score well in their examinations. All questions from CBSE NCERT Books have been important from the examination’s point of view. Extramarks offers NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, to students who require assistance with this exercise.

Class 6 is an important part of student life. In this class, students are introduced to new concepts that prepare them for higher education. Students need to study concepts well in order to have a good understanding of the topic. CBSE and NCERT work together to design the Class 6 curriculum to help students learn new concepts and prepare them for the higher classes. Students are required to learn concepts and pass examinations during the year. Therefore, students should prepare for their higher studies and examinations. This is where Extramarks helps the students.

Class 6 NCERT Maths, Science, English, Hindi, and Social Studies Solutions can be accessed in PDF format from the Extramarks website. Extramarks also provides NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1. These NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, are prepared by highly qualified and experienced professionals. The NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, are based on the most recent CBSE guidelines. Students can find answers for all subjects like Maths, Science, English, Hindi, and Social Studies. NCERT solutions are written in a very simple language so that students can easily understand the concepts, and the solutions are also explained step-by-step. Extramarks encourage students to check the PDFs of NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, study, and pass the examinations.

### Access Other Exercises of Class 6 Maths Chapter 8

 Chapter 8 – Decimals Exercises Exercise 8.2 7 Questions & Solutions Exercise 8.3 2 Questions & Solutions Exercise 8.4 5 Questions & Solutions Exercise 8.5 7 Questions & Solutions Exercise 8.6 7 Questions & Solutions

## NCERT Solutions For Class 6 Maths, Chapter 8: Decimals (Ex 8.1), Exercise 8.1

Here are the advantages of referring to Extramarks NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1:

•  NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 are appropriate and use simple, easy-to-understand language to help students understand things easily.
• NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1  are prepared by the country’s top experts so that students can learn effortlessly from highly experienced teachers.
• NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 are created with the latest guidelines in mind.
• NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 PDF is a one-stop solution for all learning needs related to this exercise.
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• Exercises are also given in NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, to test the knowledge and learning.

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## Access NCERT Solutions For Class 6 Maths, Chapter 8 – Decimals

There are 14 chapters in Maths that students must study in Class 6. Some of the important chapters are as follows :

Know Our Numbers: This is the first chapter of  Class 6 Maths. This chapter includes 5 exercises. The first prominent topic of this chapter is comparing numbers, students need to learn how to estimate numbers using rounding and how to use numerical estimators. They should solve the exercise questions and practice the examples at least once. They should also learn to solve some examples before solving the exercise questions. The calculation of two-valued variables is also an important topic. They should solve all the exercises and thoroughly revise the chapter. This chapter is very easy and students can finish it quickly.

Whole Numbers: This is the second chapter and students will learn the fundamentals of whole numbers. The chapter comprises 5 chapters. The first topic is about natural numbers. Here students will learn natural numbers and their properties, students will also have to learn how to represent natural numbers on a number line. Students must be careful with all the attributes.

Maths with natural numbers is the final topic of this exercise. Students must practice all the examples and solve the exercise questions. In the next exercise, students will learn how to draw a number line. They will learn about number lines and numbers on a number line. They must learn how to add and subtract on a series of numbers, they can practice some examples to better understand the topic before students start solving the exercise questions.

This exercise is very interesting and students will easily enjoy it. Students should learn the properties and be thorough with them. The next exercise deals with all the properties of whole numbers. Students should learn all the properties like commutative, associative, etc. and learn their definitions with some examples. They can explore the commutative property of multiplication and also explore the noncommutative property. They must practise the examples and solve all the questions in the exercise. The final exercise in this chapter is about whole numbers and denominators. In this exercise, students will explore denominators and their examples. Students must learn to represent denominators using points, triangles, lines, rectangles, and squares. They will learn the types of denominators and how to observe them. Students can also find the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 on the website of Extramarks.

Playing with Numbers: This is the third chapter and has 10 exercises. This chapter is relatively longer than the rest, but students can learn it easily with proper study and practice. The first exercise in this chapter deals with factors and multiples. This exercise is about factors and multiples. Students should also learn their differences and practice some examples related to them. This exercise is quite easy and students will only need half an hour to complete it. The next exercise is about prime and compound numbers, students need to learn about even and odd numbers and their general representation. They can practice a few examples and solve a question or two. Then in this exercise students need to learn about prime and composite numbers, learn their definitions, and go through some examples. They can solve the questions in the exercises and the examples. The next exercise in this chapter is a test for divisibility of numbers, in which students have to learn the rules of divisibility. Learners need to learn the 13 divisibility rules and practise a few examples for each. They have to be very thorough with this exercise and practise it as many times as possible. They can use NCERT solutions to better understand and remember the rules. Exercise 5 of this chapter deals with common multiples and common multipliers. First students need to learn about multiples, then the common multiple, then the common factor, go through some examples and practise them. They have to learn the difference between multiples and factors, and learn and practice examples of primes between them. This exercise is very easy and students can easily learn it. Exercise 7 of this chapter is very important and this is the most important factor. Students have to learn how to find prime factors and know how to factorize primes. They also have to solve the examples and questions in the exercises to prepare themselves well. Exercise 9 is another featured topic, HCF and LCM, learn their definitions and formulas. They also have to learn how to find the LCM and HCF by prime factorization and by division. They should solve the examples before solving and practice questions, understand the concept and practice questions related to the topic. Starting from the last exercise, they can address all the questions and examples in the exercise.

Basic Geometry Ideas: This is Chapter 4 with 13 exercises. An important exercise for this chapter is line segments. This chapter is very simple and small and requires students to learn line segments and rays. Let’s learn their definitions and see some examples. Students will also learn the difference between a line segment and a line segment. They must solve practice problems and practice examples. The next important topic is the relationship between parallels and angles. Learn more about line pairs and examples. Students should also learn the properties of parallel lines, the axioms of parallel lines, and theorems. Finally, they will learn about the application of parallel lines. Another important exercise is polygons. In this, students will learn about polygons, curves and angles and types of curves and their examples. The final exercise is about squares. This is an important exercise and should be learned properly. It is about the types of quadrilaterals and their properties. Next, they will learn the quadrilateral formula and its properties.

Understanding Elementary Shapes: This is Chapter 5 with 10 exercises. Measurement of line segment is an important concept of this chapter. Students need to learn about line segments and their symbols. Learn line segment formulas and practice examples. They need to learn how to measure lines and how to create lines. Students should learn the types of angles, positive angles, negative angles, angle pairs, etc. Vertical lines are explained in Exercise 6. Learn about symbols and properties, learn how to create perpendicular lines, and more. Polygons, squares, and 3D shapes are also important topics in this chapter. Practice all the examples and exercises in this chapter and use them for preparing for the examinations.

Integers: This chapter describes integers and how to add and subtract them. Learners have to learn their multiplication and division too. They will also learn about positive and negative integers, their properties, and how they are represented on the number line. For more questions and examples, students can use the NCERT solution.

Fractions: This chapter is also important and has 10 exercises. In this chapter, we need to learn about fractions, their types, properties, rules, etc. Students have to learn to add, subtract, divide and multiply fractions and learn about real fractions, mixed numbers such as fractions, and more, and solve examples for each. They should complete all the exercises and use the NCERT solution for additional help and proper preparation. Extramarks also provide solutions of NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 for the students needing help in this exercise.

Decimals: This is Chapter 8 with 7 exercises. In this chapter, students will learn how to compare decimals. Students will learn about the examples and exercises and will learn to use decimals and solve real-life examples to understand the process. They also need to learn to add and subtract decimals. They can solve all the questions in the chapter and take appropriate notes.

Data Handling: This is Chapter 9 with 7 exercises. Learners will learn how to record and organize data. They will learn how to draw pictograms and bar graphs. They can solve the example and complete the exercise. NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 and all other exercise solutions are available on the website of Extramarks.

Mensuration: This is Chapter 10, and it is very small. There are only two exercises. Students will learn about area and perimeter, their formulas, and how to use them.

Algebra: This chapter is very important and has 10 exercises. Students will learn algebraic expressions and their rules. Learners should practice examples and solve exercises, and also check the solutions of NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 on the Extramarks website.

Ratio and Proportions: There are four exercises in this chapter. The first exercise introduces the basics of proportions and proportions. In the second exercise, students will learn about ratios and their properties. In the third exercise, students will learn about proportions. The final exercise is the “uniform method” of learning methods and formulas. Practice the examples and use the solutions to solve the practice problems.

Symmetry: There are 5 exercises in this chapter. Students can study the chapters and their exercises using the NCERT solution. Students should also check NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 for all the important topics related to the chapter.

Practical Geometry: This is the final chapter of the 6th Class Maths. There are a total of five of his exercises in this chapter. Learners will learn about circles, lines, angles, and more. They will understand the concepts and can practice them. Students can also access NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 on the website of Extramarks.

## NCERT Solutions For Class 6 Maths, Chapter 8: Decimals, Exercise 8.1

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 is considered to be the best option for CBSE students who are going to prepare for their examinations. This exercise consists of many questions. Extramarks also provides the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, on its website in PDF format. Students can download NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, according to their convenience, or study directly online from the website. Extramarks’ subject matter experts solve all the questions from the exercises in accordance with all the CBSE guidelines. A Class 6 student who is familiar with all the concepts of the NCERT textbook and has good control over solving all the questions from the exercises therein will easily get the highest score in the final exam. With the help of NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, students can easily understand the patterns of questions that can appear in examinations. They can also learn about the weightage of the chapter so that they can prepare according to that for their final exam.

In addition to NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1, there are many exercises in these chapters, and all these questions are answered by Extramarks’ subject experts. As a result, they ought to all be of the highest caliber and available for use by anyone preparing for the exam. To achieve the highest scores in the class, it is crucial to comprehend all of the concepts given in the textbook and complete the related exercise problems with the help of NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1.

Students can get all the solutions in one place on Extramarks. They can get ready for their examination by accessing the NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, from the Extramarks website. Students can also get NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.1, using the Extramarks app if they already have it installed on their smartphones. The fact that NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 may be accessed both online and offline is their strongest feature.

Q.1 Write the following as numbers in the given table:

Ans.

 Hundreds(100) Tens(10) Ones(1) Tenths(1/10) (a) 0 3 1 2 (b) 1 1 0 4

Q.2 Write the following decimals in the place value table.

(a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9

Ans.

 Hundreds(100) Tens(10) Ones(1) Tenths(1/10) 19.4 0 1 9 4 0.3 0 0 0 3 10.6 0 1 0 6 205.9 2 0 5 9

Q.3 Write each of the following as decimals:
(a) Seven-tenths
(b) Two tens and nine-tenths
(c) Fourteen point six
(d) One hundred and two ones
(e) Six hundred point eight

Ans.

(a) Seven-tenths : 0.7
(b) Two tens and nine-tenths : 20.9
(c Fourteen point six : 14.6
(d) One hundred and two ones : 102.0
(e) Six hundred point eight : 600.8

Q.4 Write each of the following as decimals:

$\begin{array}{l}\left(\text{a}\right)\frac{5}{10}\left(\text{b}\right)3+\frac{7}{10}\left(\text{c}\right)200+60+5+\frac{1}{10}\\ \left(\text{d}\right)70+\frac{8}{10}\left(\text{e}\right)\frac{88}{10}\left(\text{f}\right)4\frac{2}{10}\\ \left(\text{g}\right)\frac{3}{2}\left(\text{h}\right)\frac{2}{5}\left(\text{i}\right)\frac{12}{5}\\ \left(\text{j}\right)3\frac{3}{5}\left(\text{k}\right)4\frac{1}{2}\end{array}$

Ans.

$\begin{array}{l}\left(\text{a}\right)\frac{5}{10}=\text{}0.\text{5}\\ \left(\text{b}\right)3+\frac{7}{10}=\text{3}+\text{}0.\text{7}=\text{3}.\text{7}\\ \left(\text{c}\right)200+60+5+\frac{1}{10}=\text{265}+\text{}0.\text{1}=\text{265}.\text{1}\\ \left(\text{d}\right)70+\frac{8}{10}=\text{7}0\text{}+\text{}0.\text{8}=\text{7}0.\text{8}\\ \left(\text{e}\right)\frac{88}{10}=\text{8}.\text{8}\\ \left(\text{f}\right)4\frac{2}{10}=4+\frac{2}{10}=4+0.2=4.2\\ \left(\text{g}\right)\frac{3}{2}=\frac{2+1}{2}=\frac{2}{2}+\frac{1}{2}=1+0.5=1.5\\ \left(\text{h}\right)\frac{2}{5}=\text{}0.\text{4}\\ \left(\text{i}\right)\frac{12}{5}=\frac{10+2}{5}=\frac{10}{5}+\frac{2}{5}=2+\frac{2}{5}=2+0.4=2.4\\ \left(\text{j}\right)3\frac{3}{5}=3+\frac{3}{5}=3+0.6=3.6\\ \left(\text{k}\right)4\frac{1}{2}=4+\frac{1}{2}=4+0.5=4.5\end{array}$

Q.5 Write the following decimals as fractions. Reduce the fractions to lowest form.
(a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8 (e) 13.7 (f) 21.2 (g) 6.4

Ans.

$\begin{array}{l}\text{(a) 0}\text{.6}=\frac{6}{10}=\frac{3}{5}\\ \text{(b) 2}\text{.5}=\frac{25}{10}=\frac{5}{2}\\ \text{(c) 1}\text{.0}=\frac{10}{10}=1\\ \text{(d) 3}\text{.8}=\frac{38}{10}=\frac{19}{5}\\ \text{(e) 13}\text{.7}=\frac{137}{10}=\frac{137}{10}\\ \text{(f) 21}\text{.2}=\frac{212}{10}=\frac{106}{5}\\ \text{(g) 6}\text{.4}=\frac{64}{10}=\frac{32}{5}\end{array}$

Q.6 Express the following as cm using decimals.
(a) 2 mm (b) 30 mm (c) 116 mm (d) 4 cm 2 mm (e) 162 mm (f) 83 mm

Ans.

$\begin{array}{l}\left(\text{a}\right)\text{2mm}=\frac{2}{10}\mathrm{cm}=0.2\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{b}\right)\text{3}0\text{mm}=\frac{30}{10}\mathrm{cm}=3.0\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{c}\right)\text{116mm}=\frac{116}{10}\mathrm{cm}=11.6\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{d}\right)\text{4 cm 2mm}=4+\frac{2}{10}\mathrm{cm}=4+\frac{1}{5}=4+0.2=4.2\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{e}\right)\text{162mm}=\frac{162}{10}\mathrm{cm}=16.2\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{f}\right)\text{83mm}\mathrm{}=\frac{83}{10}\mathrm{cm}=8.3\text{\hspace{0.17em}}\mathrm{cm}\end{array}$

Q.7 Between which two whole numbers on the number line are the given numbers lie?
Which of these whole numbers is nearer the number?

Ans.

(a) 0.8 lies between 0 and 1, and is nearer to 1.

(b) 5.1 lies between 5 and 6, and is nearer to 5.

(c) 2.6 lies between 2 and 3, and is nearer to 3.

(d) 6.4 lies between 6 and 7, and is nearer to 6.

(e) 9.1 lies between 9 and 10, and is nearer to 9.

(f) 4.9 lies between 4 and 5, and is nearer to 5.

Q.8 Show the following numbers on the number line:
(a) 0.2
(b) 1.9
(c) 1.1
(d) 2.5

Ans.

(a) 0.2

(b) 1.9

(c) 1.1

(d) 2.5

Q.9 Write the decimal number represented by the points A, B, C, D on the given number line.

Ans.

Point A represents 0.8.

Point B represents 1.3.

Point C represents 2.2.

Point D represents 2.9.

Q.10 (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?
(b) The length of a young gram plant is 65 mm. Express its length in cm.

Ans.

$\begin{array}{l}\left(\text{a}\right)\text{The length of Ramesh}’\text{s notebook is 9 cm 5 mm}.\text{Its length in cm is}9+\frac{5}{10}=9+0.5=9.5\text{\hspace{0.17em}}\mathrm{cm}\\ \left(\text{b}\right)\text{The length of young gram plant is 65 mmIts length in cm is}\frac{65}{10}=6.5\text{\hspace{0.17em}}\mathrm{cm}\end{array}$

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### 1. How is decimal useful?

Decimal numbers are a very important concept for students to learn, as they are useful in higher grades and in everyday life. Another important use of decimals is as a way to represent the weight of various objects. Another important use is to measure the length of something or the distance between two points.

### 2. What are the key problems and examples in NCERT Solutions Class 6 Maths chapter 8 exercise 8.1?

Students in 6th Class should practice the following questions from NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 to better understand this chapter.

• Write fractions in decimal
• Represent decimals as fractions
• Compare which decimal is greater.
• Decimal rupee
• Represents centimetres as a decimal.
• Express kilograms as a decimal number.
• Set the number of decimal places on the number line

### 3. Where can students find the answers for NCERT Solutions Class 6 Maths chapter 8 exercise 8.1?

Students can find the solution for NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 Decimal Numbers on the Extramarks website. This chapter is best understood by students if they practise all the examples and exercises presented in the chapter and refer to the NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 provided by Extramarks. NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 helps to clarify the basics as NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 are prepared by subject matter experts, taking into account the student’s intellectual abilities.

### 4. What is the best subject for Class 6?

The best subject is myth, as all the subjects designed for Class 6 students are prepared with student development in mind. It also provides general growth and knowledge in various fields. From an examination standpoint, it is important to prepare well for all subjects as they are equally weighted. The difficulty of each subject varies from student to student.

### 5. Will the topics from 6th Classcontinue into higher Classes?

Yes, the subjects a student covers in Class 6 form the foundation for the next class.Therefore, it is imperative that students fully understand the problem. Class 6 is the age where students can be shaped accordingly. Therefore, creating the right study plan can help students stay focused on their studies well in higher classes. To see NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 and all other Class 6 solutions, students can visit Extramarks’s website.

### 6. How helpful are NCERT Solutions Class 6 Maths chapter 8 exercise 8.1?

Most of the students do not know how to deal with important problems, and therefore they need guidance to perform well in subjects such as Maths. Most learners neglect to understand such topics, but without mastering certain skills, they cannot do well on examinations. It is one of the major subjects and there are various important arithmetic concepts. These concepts should be explained to students in a way they can understand. Therefore, Extramarks provide NCERT Solutions Class 6 Maths chapter 8 exercise 8.1 for the students to perform their best in the examinations.