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Decimals Class 6 Notes CBSE Maths Chapter 8 (Free PDF Download)

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Last updated date: 21st May 2024
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Revision Notes for CBSE Class 6 Maths Chapter 8 Decimals - Free PDF Download

CBSE Maths Chapter 8 Revision Notes of Class 6 Decimals are given by Vedantu. Class 6 Revision Notes on Decimals will significantly help students understand and revise the concepts right from the beginning. The concepts taught in Class 6 hold huge significance to be understood as these concepts and theories are the stepping stones for the upcoming challenges in higher classes. Students preparing for Central Board of Secondary Education or CBSE exams can download the Class 6 Maths Revision Notes Chapter 8 and other previous years’ math question papers from the official website of Vedantu. 


You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,they can download Class 6 Maths NCERT Solutions to help you to revise complete syllabus and score more marks in your examinations.


CBSE Class 6 Maths Revision Notes

Chapter 1: Knowing Our Numbers Notes

Chapter 8: Decimals Notes

Chapter 2: Whole Numbers Notes

Chapter 9: Data Handling Notes

Chapter 3: Playing With Numbers Notes

Chapter 10: Mensuration Notes

Chapter 4: Basic Geometrical Ideas Notes

Chapter 11: Algebra Notes

Chapter 5: Understanding Elementary Shapes Notes

Chapter 12: Ratio and Proportion Notes

Chapter 6: Integers Notes

Chapter 13: Symmetry Notes

Chapter 7: Fractions Notes

Chapter 14: Practical Geometry Notes

Access Class 6 Mathematics Chapter 8 - Decimals Notes

Decimal is mathematical notation to represent the fractions whose denominator is $10$ or the power of $10$.

For Example: 

$\dfrac{54}{10}$ can be written in decimal as $5.4$ 

$\dfrac{54}{100}$ can be written in decimal as $0.54$ 


Tenths: 

One out of $10$ equal parts are called tenths.

Decimal notation of tenths $\left( \dfrac{1}{10} \right)$  is $0.1$ 

For Example: A pencil is $8cm\text{ 3mm }$ long and can be represented in decimal using the concept of tenths. 

Since, $1mm=\dfrac{1}{10}cm=0.1cm$  

Therefore, $3mm=\dfrac{3}{10}cm=0.3cm$ 

Decimal notation of $8cm\text{ 3mm }=8.3cm$


Hundredths: 

One out of $100$ equal parts are called hundredths.

Decimal notation of tenths $\left( \dfrac{1}{100} \right)$  is $0.01$  

For Example: A pencil is $8m\text{ 3cm }$ long and can be represented in decimal using the concept of hundredths. 

Since, $1cm=\dfrac{1}{100}m=0.01m$  

Therefore, $3cm=\dfrac{3}{100}m=0.03m$ 

Decimal notation of $8m\text{ 3cm }=8.03m$


Representing Decimals on Number Line:

Let us suppose we have to represent $0.5$ on the number line.

$0.5$ is greater than $0$ and less than $1$ then it can be represented on number line by dividing unit length between $0$ and $1$ into ten equal parts and the fifth part will represent $0.5$ 


Fractions as Decimals:

Fraction can be represented in decimal by making the denominator of fraction $10$ 

For Example: The decimal notation of fraction $\dfrac{3}{2}$ is given by making denominator $10$ it can be done by multiplying denominator and numerator by $10$ 

Therefore, $\dfrac{3\times 5}{2\times 5}=\dfrac{15}{10}=1.5$ 

So, the decimal notation of fraction $\dfrac{3}{2}$ is $1.5$ 


Decimals as Fractions:

Decimal can be represented in fraction by representing the digits to the right of decimal as tenths or power of tenths according to the number of digits present and solving the improper fraction obtained.

For Example: The fraction form of decimal $8.9$ is given by 

$8.9$ can be written as $8\dfrac{9}{10}$ which is equal to $\dfrac{89}{10}$ 

$8.99$ can be written as $8\dfrac{99}{100}$ which is equal to \[\dfrac{899}{100}\] 


Place Value of Decimals:

The first digit to the right of the decimal is tenths place.

The second digit to the right of the decimal is hundredths place.

The third digit to the right of the decimal is thousandths place.

For Example: In $6.342$ the place value of $3$ is tenths place, $4$ is hundredths place and $2$ is thousandths place.


Comparing Decimals:

Compare the tenth part of the two decimals if the whole part is same 

For Example: Compare $32.5$ and $32.6$ 

Since, the whole part is same i.e., $32$ now on comparing tenth part we found that $32.6>32.5$ 

Similarly, compare the hundredth part of the two decimals if the whole part and tenth part are the same.


Using Decimals:

Money can be represented in decimal as 

$100paise=1Rs$

$\therefore 1paise=\dfrac{1}{100}Rs=0.01Rs$ 

Length can be represented in decimal as

$10mm=1cm$ 

$\therefore 1mm=\dfrac{1}{10}cm=0.1cm$ 

$100cm=1m$ 

$\therefore 1cm=\dfrac{1}{100}m=0.01m$ 

$1000m=1km$ 

$\therefore 1m=\dfrac{1}{1000}km=0.001km$

Weight can be represented in decimal as

$1000g=1kg$

$\therefore 1g=\dfrac{1}{1000}kg=0.001kg$ 


Addition of Number with Decimals:

Adding a number with decimals is the same as adding the whole number.

Decimals are aligned under one another.

Arrange the numbers according to their place value.

For Example: Add $63.52$ and $1.25$ 

\[\begin{align}  & 63.52 \\+& \text{ }1.25 \\  & \overline{64.77} \\ \end{align}\]


Subtraction of Number with Decimals:

Subtracting a number with decimals is the same as subtracting a whole number.

Decimals are aligned under one another.

Arrange the numbers according to their place value.

For Example: Subtract $1.25$ from $63.52$

\[\begin{align}  & 63.52 \\  -& 1.25 \\  & \overline{62.27} \\ \end{align}\]


Class 6 Maths Chapter 8 Revision Notes Free PDF

Vedantu provides Class 6 Maths Revision Notes Chapter 8 as well as keynotes chapter wise for the CBSE class exam in an easy-to-understand, free downloadable PDF format. This enables you to use it for studies and score better in the board exams.


CBSE Class 6 Maths Revision Notes Chapter 8- Decimals Introduction

Use of a dot while expressing a number/numbers in mathematical form is what we call a decimal point. A dot-like decimal point is used to represent the part of a whole number. For example, 0.9


Tenths and Hundredths in a Decimal

As we know that 1 meter = 100 centimetres, thus if we want to identify the opposite then

1centimeter = 1/100 meter or one-hundredth meter or 0.10 cm.

Therefore, it is to say that the 1st number after the decimal shows the 10th part of the whole.

 (Image will be Uploaded Soon)

This read as seventeen point five nine one. 


Class 6 Maths Chapter 8 Revision Notes for Representation of Decimals on Number Line

Vedantu’s Revision Notes on Class 6 Maths Chapter 8 representing decimals on a number line worksheet includes clear illustrative examples of how to show various numbers on a number line for easy understanding and utmost convenience of the learners.

In order to represent decimals on the number line, divide the gap of each number into 10 equal parts as the decimal reveals the 10th part of the number. Check below for examples.


Example: Represent 0.4, 0.6 and 0.8 on the number line.

Solution: Seeing that all the given three numbers are less than 1 are greater than 0. Thus, we will require forming a number line with 0 and 1 and then dividing the gap into 10 equal parts.

Then mark as illustrated below.

 (Image will be Uploaded Soon)

What are the Benefits of Referring to Vedantu’s Revision Notes for Class 6 Maths Chapter 8 Decimals

  • Provides quick, clear summaries of key concepts.

  • Simplifies complex topics for better understanding.

  • Efficient tool for last-minute exam prep.

  • Enhances retention of crucial information.

  • Supports effective exam preparation with key points and tips.

  • Saves time by consolidating information.

  • Prioritizes important topics and questions.

  • Offers practical examples for real-world connections.

  • Boosts student confidence for exams.


Conclusion

For an enhanced comprehension of this subject, NCERT - Class 6 Chapter 8 - Decimals thoughtfully prepared by experienced educators at Vedantu is your invaluable companion. These resources break down the complexities of Decimals into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly. By immersing yourself in these materials, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Decimals Class 6 Notes CBSE Maths Chapter 8 (Free PDF Download)

1. Where Can I Find the Class 6 Maths Chapter 8 Revision Notes for Decimals?

At Vedantu, you will find the subject-wise CBSE Class 6 Board question papers which can be availed in PDF file format for free from the website. You will be able to save the revision notes, PYQP and Model Question Papers and take their printout to use them effectively for revision and preparation. Practising the CBSE Board Class 12 revision notes will aid you to keep a firm hold and retain the important questions and topics that might be asked in the examination.

2. Is Class 6 Maths Chapter 8 Revision Notes for Decimals Helpful to Score Good Marks in the Final Exam?

The revision notes on Class 6 Maths Chapter 8 are designed to help students understand and revise the concepts right along with understanding the chapter. Class 6 Maths concepts and theories of various chapters are very significant as they act as stepping stones for students to face the upcoming challenges in higher classes. To obtain excellent marks in Class 6 mathematics examination, it is advised to solve questions provided in the ch 8 class 6 maths revision notes.

3. Are Vedantu’s Revision Notes Available for Free Online?

Yes, the Class 6 Maths Revision Notes on the Chapter Decimals are available in a free downloadable PDF format so you are able to use it for studies and improve your scores. The CBSE Class 6 Revision Notes are designed mainly for core subjects like Science and Maths keeping in consideration that these are the stepping stones and play a key role in a student's future.

4. Will I be able to Understand the Upcoming Exam Pattern through Previous Revision Notes?

The CBSE Class 6 Revision Notes are designed keeping in mind the syllabus and exam pattern of NCERT 2020-21. Students can download the PDF for free and practice the questions to score well in the coming final examinations.

5. Can I download the Notes for Class 6 Decimals in PDF?

Yes, Vedantu provides easily downloadable revision notes for Chapter 8 of Class 6. They can be download at no cost following these simple steps:

  1. Click on Vedantu's Revision Notes Class 6 Decimals.

  2. As you scroll down on this page, click on "Download PDF."

  3. This will redirect you to a page where you can find the link to download the required PDF. This will allow you to access the revision notes offline easily.

You can also download the Vedantu app to access the revision notes. All the study materials are available free of cost.


6. What are some top benefits of Vedantu's revision notes?

Vedantu's Revision Notes for Chapter 8 Decimals have several benefits for annual exam preparation:

  1. They contain important definitions and formulas of the chapter in one place. Thus they make a perfect revision manual for your exams.

  2. They are prepared by highly experienced teachers keeping in mind the requirements of Class 6 students.

  3. They are prepared as per CBSE guidelines and are ideal for annual exam preparation.

  4. They help in clarifying the concepts.

7. Why should students use revision notes of Chapter 8 of Class 6 Mathematics?

Students often end up ignoring the NCERT textbook information for Mathematics and only focusing on the example and exercise questions. Bear in mind that the explanation in the NCERT textbook aims to clarify the concepts of the chapter. Making notes from this information is a sure-shot way of understanding and retaining the information in a better way. Revision notes also contain all important concepts, definitions, formulas, theorems, and diagrams of Chapter 8 in one place. This saves time for their revision.

8. What are the important topics of Chapter 8 Decimals?

Chapter 8 Decimals introduces Class 6 students to major fundamental concepts related to decimals. Decimals are an integral mathematical notion having several applications in daily lives. Following concepts are taught in this chapter:

  1. Tenths

  2. Representing decimals on a number line

  3. Fractions as decimals

  4. Decimals as fractions

  5. Hundredths

  6. Comparing decimals

  7. Using decimals: money, length, and weight

  8. Addition of Numbers with Decimals

  9. Subtraction of decimals

Students must study all these topics thoroughly to do well in their exams.


9. What do you mean by decimal notations of tenths and hundredths?

Decimals are used to denote numbers based on the number ten, tenth parts, and powers of ten. Tenth refers to one of ten equal parts of something. In decimals, one-tenth of something is represented as 1/10= 0.1. Similarly hundredth refers to one of a hundred equal parts of something. In decimals, one-hundredth of something is denoted as 1/100= 0.01.