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# NCERT Solutions for Class 6 Maths, Chapter 8 - Decimals

In NCERT Maths Book Class 6, Chapter 8 Solutions, as you progress through the chapter you will learn decimals. To understand the parts of one whole (i.e. a unit) we represent a unit by a block. One block divided into 10 equal parts means each part is 1/10 (one-tenth) of a unit. It can be written as 0.1 in decimal notation. The dot represents the decimal point and it comes between the units place and the tenths place. Every fraction with denominator 10 can be written in decimal notation and vice-versa. As you move further in this chapter, you will study more about tenths, hundredths, comparing decimals and using decimals. Further, you will study the addition of numbers with decimals and subtraction of decimals.

## Let’s take a look at topics and sub-topics of Class 6 Maths Chapter 8, Decimals

8.1 Introduction

8.2 Tenths

8.3 Hundredths

8.4 Comparing Decimals

8.5 Using Decimals

8.5.1 Money

8.5.2 Length

8.5.3 Weight

8.6 Addition Of Numbers With Decimals

8.7 Subtraction Of Decimals

## In Class 6 Maths NCERT Solutions Chapter 8, you will learn -

Section 8.2 – This section will help you in understanding the concept of tenths.  One block divided into 10 equal parts means each part is 1 10 (one-tenth) of a unit. It can be written as 0.1 in decimal notation. With the help of some examples, this section will brief you about the representation of decimals on a number line. We know that 0.6 is more than zero but less than one. There are 6 tenths in it. Divide the unit length between 0 and 1 into 10 equal parts and take 6 parts. As you move further in this section you will learn how to write fractions as decimals and decimals as fractions.

Section 8.3 – You already know tenths. Now you will study hundredths. One block divided into 100 equal parts means each part is (1/100) (one-hundredth) of a unit. It can be written as 0.01 in decimal notation. Try to understand with the help of an example. Take a square and divide it into ten equal parts. What part is the shaded rectangle of this square? It is 1/10 or one-tenth or 0.1. Now divide each such rectangle into ten equal parts. We get 100 small squares. Then what fraction is each small square of the whole square? Each small square is (1/100) or one-hundredth of the whole square. In decimal notation,  we write (1/100) = 0.01 and read it as zero point zero one.

Section 8.4 – This section deals with the comparison of decimals. Let us now compare the numbers 32.55 and 32.5. In this case, we first compare the whole part. We see that the whole part for both the numbers is 32 and, hence, equal. We, however, know that the two numbers are not equal. So, we now compare the tenth part. We find that for 32.55 and 32.5, the tenth part is also equal, then we compare the hundredth part. We find the hundredth part of 32.55 is more.

Section 8.5 – Decimals can be used everywhere. In this section, you will study some uses of decimals. Decimals can be used in money, length, weight, etc. Rs 1 and 5 paise can be written as Rs 1.05, 1 centimetre can be written as 0.01m and 2350 grams can be written as 2.350 Kg.

Section 8.6 – Can decimals be added with numbers? This section will give you an answer. Decimals can be converted into fractions by removing their decimal points and writing 10, 100, etc. in the denominators, depending upon the number of decimal places in the decimals. Examples – 0.9 = 9/10.

Section 8.7 – Towards the end of this chapter, this section will teach you the subtraction of decimals. Decimals can only be subtracted by writing them with an equal number of decimal places. Therefore, we can say that subtraction of decimals can be done by subtracting hundredths from hundredths, tenths from tenths, ones from ones and so on, just as we did in addition.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of decimals. To know more about NCERT Solutions for Class 6 Maths Chapter 8 Decimals, you should explore the exercises below. You can also download the Decimals Class 6 NCERT Solutions PDF, solved by expert maths trainers. You can also refer online to Class 6 Maths Chapter 8 Worksheet PDF.

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