## Ncert Solutions for Class 6 Maths Chapter 8 Decimals Exercise 8.2:-

**Exercise 8.2**Ā Class 6 maths NCERT solutions Chapter 8 Decimals pdf download:-

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### Ncert Solution for Class 6 Maths Chapter 8 Decimals Exercise 8.2 Tips:-

**Hundredths**

David was measuring the length of his room.

He found that the length of his room is 4 m

and 25 cm.

He wanted to write the length in metres.

Can you help him? What part of a metre will

be one centimetre?

1 cm = ( ) 1

100 m or one-hundredth of a metre.

This means 25 cm =

25

100 m

Now ( ) 1

100 means 1 part out of 100 parts of a whole. As we have done for

1

10 , let us try to show this pictorially.

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, see Fig (i).

Now divide each such rectangle into ten equal parts.

We get 100 small squares as shown in Fig (ii).

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.

What part of the whole square is the shaded portion, if

we shade 8 squares, 15 squares, 50 squares, 92 squares of

the whole square?

Take the help of following figures to answer.

**What have we discussed?**

1. 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.

2. Every fraction with denominator 10 can be written in decimal notation and vice-versa.

3. 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.

4. Every fraction with denominator 100 can be written in decimal notation and

vice-versa.

5. In the place value table, as we go from left to the right, the multiplying factor becomes

1

10 of the previous factor.

The place value table can be further extended from hundredths to

1

10 of hundredths

i.e. thousandths (

1

1000 ), which is written as 0.001 in decimal notation.

6. All decimals can also be represented on a number line.

7. Every decimal can be written as a fraction.

8. Any two decimal numbers can be compared among themselves. The comparison can

start with the whole part. If the whole parts are equal then the tenth parts can be

compared and so on.

9. Decimals are used in many ways in our lives. For example, in representing units of

money, length and weight.