# NCERT Solutions for Class 6 Maths Chapter 8 Decimals (Ex 8.2) Exercise 8.2

## NCERT Solutions for Class 6 Maths Chapter 8 Decimals (Ex 8.2) Exercise 8.2

Before moving on to more complex concepts, let us study the concept of decimals using exercise problems. A variety of topics are covered in this chapter, including decimal comparison and use, money, length, weight, and the addition and subtraction of integers with decimals.

Due to the extensive coverage of decimals in the curriculum, it is essential for students to understand decimals by studying NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. The NCERT Solutions Class 6 Maths Exercise 8.2 of Chapter 8 focuses primarily on decimal operations. An overview of decimals and how they are generated is provided to the learner at the beginning of the chapter. Following is a discussion of tenths and hundredths decimals and their importance in calculations. Students will also discover how to use decimals in various Mathematical calculations in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. For students to perform well in the Maths examination, they must comprehend the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2.

In the Class 6 Maths Chapter 8 Exercise 8.2, students are taught using the tenth decimal. They study how decimals are formed and how to use them in numerical calculations. The terms of the hundredth place in the decimal number system are covered in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 Decimals for Class 6 students. When referring to the hundredth place, it is customary to use two digits after the decimal point. A fraction with the denominator 100 can be converted to a decimal by placing the decimal point prior to the first two digits. There are seven problems in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, each with a separate subtopic. Through Class 6 Maths Chapter 8 Exercise 8.2, students also explore various methods of representing decimals, such as multiplying the numerator and denominator of fractions by the same number.

The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, covers the following topics of Maths for Class 6 students:

• Representing Decimals on a number line
• Another type of fraction is a decimal, in which a dot separates the full number from the fractional portion. Except for how they are represented, fractions and decimals on a number line seem quite similar. If small changes in quantities are required, decimals can be used to perform precise calculations.
• Fractions as decimals
• Changing a number that is expressed as p/q, where p and q are whole numbers and q is not equal to zero, into a decimal form can be described as either changing the denominator to a power of 10 or using the long division technique.
• Decimals as fractions
• Any fraction with a denominator of a power of 10, such as 10, 100, 1000, or 10,000, is considered a decimal fraction. The relationship between a component and a whole is a fraction. As a result, in a decimal fraction, the whole is always split into parts that are powers of 10, such as 10, 100, 1000, and so on. For instance, 7/10 denotes 7 of a total of 10 pieces.
• Comparing Decimals
• Finding the greater and smaller decimal value in a collection of numbers is known as comparing decimals. Similar to how one compares numbers, one can compare decimal numbers. However, one must keep in mind that the digits that come after the decimal point must also be taken into account. Place values for these digits range from tenths to hundredths, thousandths, and so on.
• Addition and Subtraction of Numbers with Decimals
• The standard addition and subtraction rules apply when adding and subtracting decimals. It is necessary to pay attention to the decimal places following the decimal point. The columns in which the numbers are written must reflect the place values before and after the decimal point. According to the decimal place value chart, place values before the decimal point begin with ones, tens, hundreds, and so on, but place values after the decimal point begin with tenths, followed by hundredths, and so forth.

The study of Maths is quite fascinating. It is the subject with the highest average score across all academic subjects. It is one of the few subjects in which anyone can achieve the highest grade. The subject is within students’ reach if they exercise a little forethought. Students should start their Maths preparation as soon as possible in order to benefit from the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. The Class 6th Math Exercise 8.2 questions included in the book can be practised by the students and are crucial for all mock tests and the final Maths examination. These NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 should be used as a resource for study by students.

The Extramarks educators have designed this in a very orderly manner to provide the finest methods for solving the problems and to ensure thorough knowledge on these topics. The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 should be practised by students before the exams. Furthermore, this will serve as a solid foundation for higher classes.

Students learn new techniques for converting fractions into decimals in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, Decimals. This exercise explicitly addresses the 100th place of decimal or the denominator 100 in a fraction. Students can learn the concepts of decimals in detail by practising the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, which helps students review some important concepts, including the place value of each digit and locating the tenth and hundredth places in any number.

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

 Chapter 8 – Decimals Exercises Exercise 8.1 10 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 Exercise 8.2

Although Maths can be difficult, with the right preparation, it can also be a very well-scoring paper. For students who are struggling with a certain Mathematical topic or question, Extramarks NCERT Solutions for Class 6 Maths would be of great assistance. From Class 1 to Class 12, Extramarks provides thorough solutions for all topics, helping students succeed in their examinations. Subject experts with years of experience teaching under the CBSE board accurately produced and organised the NCERT Class 6 Maths answers. The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 are designed to help students solve difficult Mathematical problems by providing a step-by-step methodology. Students can review the entire NCERT curriculum and acquire higher grades by using the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2.

## Access NCERT Solutions for Class 6 Maths Chapter 8 – Decimals

In order to assist students in creating a strong foundation for the several subjects studied in Class 6, the NCERT Class 6 solutions adopt an engaging and comprehensive logical approach. These solutions are up-to-date with the most recent NCERT textbook syllabus and comply with the rules and standards of the CBSE Board. Students may simply overcome any difficulties linked to the numerous topics covered in the NCERT Class 6 Maths curriculum with the help of the NCERT solutions provided by Extramarks, which can also be utilised for short reviews before exams. The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, Decimals available on the Extramarks website or mobile application offer a more convenient method of completing Maths Class 6 Chapter 8 Exercise 8.2. The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 are well laid out and stated in straightforward language, which makes it easier for the students to comprehend. In addition, students are provided with an elaborate question-and-answer structure, which assists them in understanding the subject.

## NCERT Solutions for Class 6 Maths, Chapter 8 Decimals (Ex 8.2) Exercise 8.2

Decimal numbers are those used to represent numbers lower than 1. A decimal number depends heavily on the decimal point or period. By using this period, a decimal number can be separated into its fractional and whole number components. A number of key terms are defined in the introduction of this chapter that are important for performing well in the examination. Students can now use the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2, which is accessible in PDF format from the Extramarks website, to study and stay current on the most recent CBSE Board syllabus.

The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2,  are created by professionals to help students achieve high marks in their academic examinations. Experts have addressed every question with proper responses in an understandable manner. As a result, students who are familiar with the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 will certainly perform well on their academic examinations.

All of the questions posed in the Central Board of Secondary Education-approved NCERT reading material are answered in detail in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. The NCERT Class 6 Maths Chapter 8 Exercise 8.2 can be accessed by students of Class 6 from the Extramarks website or mobile application. To help students understand the concepts thoroughly in a comprehensive manner, Extramarks offers the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. These resources are also available in PDF format for students to study offline.

The format of the answers is similar to that of the exam, making it simple for students to follow up and be ready for their tests. Every section of Chapter 8 is covered in the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2. There are a number of areas that require attention and may be tested, including the use of decimals to calculate length, weight, and money. The NCERT Solutions for Class 6 Maths, Chapter 8, Exercise 8.2, can be used by the students to perform well in their CBSE Maths Examination.

The numerous types of questions included in the book can be practised by the students, which is crucial for better performance in the examination of Maths for Class 6 students. The NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 are advisable for students to refer to during their preparation.

The Extramarks’ experts have designed the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 in a very systematic manner in order to provide the best methods for dealing with the problems and to ensure students have a deep knowledge of these topics. Before the exams, students should go over the CBSE Class 6 Maths syllabus. Furthermore, the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 will help lay a solid foundation for students to perform in higher grades as well.

Chapter 8 of Maths introduces students to the concept of a number representing a portion of a whole. In Chapter 8, “Decimals,” students learn that every fraction with a denominator of 10 can be expressed in decimal notation, and vice versa. A fraction can be used to represent any decimal. Due to the fact that decimals make extensive use of the number line, it is advised that students understand the number line. A number line can be used to display decimals. To better understand the terms and concepts covered in the concerned chapter, students can use the NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2.

On the number line, every decimal has a point that corresponds to it. When a block is divided into 10 equal pieces, each piece is equal to 1/10, or one unit. The same can be expressed in decimal notation as 0.1. The decimal point, which is placed between the unit place and the tenths place, is shown by a dot in the decimal notation. Another illustration would be if a block were cut into 100 equal pieces, each of which would represent one hundredth of a unit. In decimal notation, this equation can be represented as 0.01. In daily life, decimals are used to represent units of length, weight, and money. For a better grasp of the chapter, students in Class 6 are first exposed to the chapter on fractions before learning about decimals.

Q.1 Complete the table with the help of these boxes and use decimals to write the number.

Ans.

 Ones Tenths Hundredths Number (a) 0 2 6 0.26 (b) 1 3 8 1.38 (c) 1 2 8 1.28

Q.2 Write the numbers given in the following place value table in decimal form.

Ans.

$\begin{array}{l}\text{(a) 3}+\frac{2}{10}+\frac{5}{100}=3+0.2+0.05=3.25\\ \text{(b) 100}+2+\frac{6}{10}+\frac{3}{100}=102.63\\ \text{(c) 30+}\frac{2}{100}+\frac{5}{1000}=30.025\\ \text{(d) 200}+10+1+\frac{9}{10}+\frac{2}{1000}=211.902\\ \text{(e) 10}+2+\frac{2}{10}+\frac{4}{100}+\frac{1}{1000}=12.241\end{array}$

Q.3 Write the following decimals in the place value table.
(a) 0.29 (b) 2.08 (c) 19.60 (d) 148.32 (e) 200.812

Ans.

 Hundreds Tens Ones Tenths Hundredths Thousandths a 0 0 0 2 9 9 b 0 0 2 0 8 0 c 0 1 9 6 0 0 d 1 4 8 3 2 0 e 2 0 0 8 1 2

Q.4 Write each of the following as decimals:

$\begin{array}{l}\left(\mathrm{a}\right)\text{ }20+9+\frac{4}{10}+\frac{1}{100}\text{\hspace{0.17em} }\left(\mathrm{b}\right)\text{ }137+\frac{5}{100}\text{\hspace{0.17em}\hspace{0.17em}}\left(\mathrm{c}\right)\text{\hspace{0.17em} }\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}\\ \left(\mathrm{d}\right)\text{ }23+\frac{2}{10}+\frac{6}{1000}\text{ }\left(\mathrm{e}\right)\text{ }700+20+5+\frac{9}{100}\end{array}$

Ans.

$\begin{array}{l}\left(\mathrm{a}\right)\text{\hspace{0.17em}}20+9+\frac{4}{10}+\frac{1}{100}=29.41\\ \left(\mathrm{b}\right)\text{\hspace{0.17em}}137+\frac{5}{100}=137.05\\ \left(\mathrm{c}\right)\text{\hspace{0.17em}}\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}=0.764\\ \left(\mathrm{d}\right)\text{\hspace{0.17em}}23+\frac{2}{10}+\frac{6}{1000}=23.206\\ \left(\mathrm{e}\right)\text{\hspace{0.17em}}700+20+5+\frac{9}{100}=725.09\end{array}$

Q.5 Write each of the following decimals in words.
(a) 0.03 (b) 1.20
(c) 108.56 (d) 10.07
(e) 0.032 (f) 5.008

Ans.

(a) 0.03 = zero point zero three

(b) 1.20 = one point two zero

(c) 108.56 = one hundred eight point five six

(d) 10.07 = ten point zero seven

(e) 0.032 = zero point zero three two

(f) 5.008 = five point zero zero eight

Q.6 Between which two numbers in tenths place on the number line does each of the given number lie?
(a) 0.06 (b) 0.45
(c) 0.19 (d) 0.66
(e)0.92 (f)0.57

Ans.

(a) 0.06 lies between 0 and 0.1

(b) 0.45 lies between 0.4 and 0.5

(c) 0.19 lies between 0.1 and 0.2

(d) 0.66 lies between 0.6 and 0.7

(e) 0.92 lies between 0.9 and 1.0

(f) 0.57 lies between 0.5 and 0.6

Q.7 Write as fractions in lowest terms.
(a) 0.60
(b) 0.05
(c) 0.75
(d) 0.18
(e) 0.25
(f) 0.125
(g) 0.066

Ans.

$\begin{array}{l}\left(\text{a}\right)\text{}0.\text{6}0\mathrm{}=\frac{60}{100}=\frac{3}{5}\\ \left(\text{b}\right)\text{}0.0\text{5}\mathrm{}=\frac{5}{100}=\frac{1}{20}\\ \left(\text{c}\right)\text{}0.\text{75}\mathrm{}=\frac{75}{100}=\frac{3}{4}\\ \left(\text{d}\right)\text{}0.\text{18}\mathrm{}=\frac{18}{100}=\frac{9}{50}\\ \left(\text{e}\right)\text{}0.\text{25}\mathrm{}=\frac{25}{100}=\frac{1}{4}\\ \left(\text{f}\right)\text{}0.\text{125}=\frac{125}{1000}=\frac{1}{8}\\ \left(\text{g}\right)\text{}0.0\text{66}=\frac{66}{1000}=\frac{33}{500}\end{array}$

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### 1. How many questions are there in the NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2?

There are 7 questions and their solutions in the NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2. The proper method or approach is used to tackle every question. Students may make use of the NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2 to do well in their Maths exam.

### 2. What benefits does the NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2 offer?

Concerning comprehending the numerous problems in Class 6 Maths Chapter 8 Exercise 8.2, the  NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2  are really helpful to ensure that students’ answers are accurate. The NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2 can be used by students to verify their approach and methodology or to fix any mistakes. Through the use of the NCERT Solutions Class 6 Maths Chapter 8 Exercise 8.2, students may be able to identify and correct their misunderstandings and errors. They can be downloaded from the Extramarks website and mobile application in PDF format.

### 3. How many chapters are there in the Maths curriculum of Class 6?

There are a total of 14 chapters in the NCERT Maths Class 6 curriculum, which are as follows;

• Chapter 1 Knowing Our Numbers
• Chapter 2 Whole Numbers
• Chapter 3 Playing With Numbers
• Chapter 4 Basic Geometrical Ideas
• Chapter 5 Understanding Elementary Shape
• Chapter 6 Integers
• Chapter 7 Fractions
• Chapter 8 Decimals
• Chapter 9 Data Handling
• Chapter 10 Mensuration
• Chapter 11 Algebra
• Chapter 12 Ratio and Proportion
• Chapter 13 Symmetry
• Chapter 14 Practical Geometry