Class 6 Chapter 8 Maths Notes: CBSE Class 6 Maths Chapter 8 Decimals Revision Notes are given by SpeEdLabs. Revision notes on Decimals for Class 6 will help students understand and revise the concepts from the very beginning. It is crucial to understand the concepts and theories taught in Class 6 as they prepare students for higher class challenges. Those preparing for CBSE exams can access textbooks, revision notes, and previous year’s maths questions from SpeEdLabs’ official website.
To score more marks in CBSE board exams, you can also register online for NCERT Class 6 Science coaching on SpeEdLabs. Students can access free CBSE Solutions (NCERT) and other study materials on SpeEdLabs’ website. If you are looking for the better solutions for Class 6 Maths, you can download the NCERT Solutions to help you revise the entire syllabus and score higher marks.
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NCERT Class 6 Maths Chapter 8- Decimals Notes
Decimal is mathematical notation to represent the fractions whose denominator is 10 or the power of 10.
For Example:
54/10 can be written in decimal as 5.4
54/100 can be written in decimal as 0.54
Tenths:
One out of 10 equal parts is called tenths.
Decimal notation of tenths (1/10) is 0.1
For Example: A pencil is 8 cm 3 mm long and can be represented in decimal using the concept of tenths.
Since, 1 mm=1/10 cm=0.1cm
Therefore, 3mm=3/10 cm=0.3cm
Decimal notation of 8 cm 3 mm =8.3cm
Hundredths:
One out of 100 equal parts is called hundredths.
Decimal notation of tenths (1/100) is 0.01
For Example: A pencil is 8m 3 cm long and can be represented in decimal using the concept of hundredths.
Since, 1 cm=1/100 m=0.01m
Therefore, 3cm=3/100m=0.03m
Decimal notation of 8m 3 cm =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 3/2 is given by making denominator 10 it can be done by multiplying denominator and numerator by 10
Therefore, 3×5/2×5 = 15/10 = 1.5
So, the decimal notation of fraction 3/2 is 1.5
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
∴1 paisa=1/100 Rs=0.01Rs
Length can be represented in decimal as
10mm=1cm
∴1 mm=1/10 cm=0.1cm
100cm=1m
∴1 cm=1/100 m=0.01m
1000m=1km
∴1m=1/1000 km=0.001km
Weight can be represented in decimal as
1000g=1kg
∴1g=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
= 64.77
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
= 62.27
Revision Notes of Class 6 Maths Chapter 8 Free PDF
With SpeEdLabs, you can download the free PDF Revision Notes for Class 6 Maths Chapter 8 as well as keynotes chapter by chapter for your CBSE class exam. Thus, you can use it for your studies and score higher on your board exams.
NCERT Class 6 Maths Chapter 8 Notes – 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 metre = 100 centimetres, thus if we want to identify the opposite then
1 centimetre = 1/100 metre or one-hundredth metre or 0.10 cm.
Therefore, it is to say that the 1st number after the decimal shows the 10th part of the whole.
Representation of Decimals on Number Line – Class 6 Maths Chapter 8 Notes
For easy understanding and utmost convenience of learners, SpeEdLabs’ Revision Notes on Class 6 Maths Chapter 8 illustrating decimals on a number line worksheet provides clear illustrative examples.
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.
Benefits of SpeEdLabs’ Revision Notes for Class 6 Maths
These Maths class 6 Decimals notes will help you to:
- Revise all the concepts in a better way.
- Take the time to ease off the subjects that might seem difficult to some students.
With the CBSE Class 6 Revision Notes for each chapter, students can learn the subject more effectively and perform better on exams.
Also Read –
- Knowing our Numbers: Class 6 Chapter 1 Maths Notes
- Whole Numbers: Class 6 Chapter 2 Maths Notes
- Playing with Numbers: Class 6 Chapter 3 Maths Notes
- Understanding Elementary Shapes: Class 6 Chapter 5 Maths Notes
- Integers: Class 6 Chapter 6 Maths Notes
- Fractions: Class 6 Chapter 7 Maths Notes
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