NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2 are the part of NCERT Solutions for Class 6 Maths. Here you can find the NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2.



Ex 8.2 Class 6 Maths Question 1.

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

Solution:

 

Ones

Tenths

Hundredths

Number

(a)

0

2

6

0.26

(b)

1

3

8

1.38

(c)

1

2

8

1.28

 

Explanation:
(a) In the figure, 26 small blocks out of 100 blocks are shaded.
Decimal representation = 26/100 = 0.26

(b) One complete block and 38 small blocks out of 100 blocks are shaded.
Decimal representation = 1 + 38/100 = 1.38

(c) One complete block and 28 small blocks out of 100 blocks are shaded.
Decimal representation = 1 + 28/100 = 1.28

 

Ex 8.2 Class 6 Maths Question 2.

Write the numbers given in the following place value table in decimal form:


Solution:
(a) 0 Hundreds + 0 Tens + 3 Ones + 2 Tenths + 5 Hundredths + 0 Thousandths
= 0 + 0 + 3 × 1 + 2 × 1/10 + 5 × 1/100 + 0
= 0 + 3 + 0.2 + 0.05 + 0 = 3.250 = 3.25

(b) 1 Hundred + 0 Tens + 2 Ones + 6 Tenths + 3 Hundredths + 0 Thousandths
= 1 × 100 + 0 × 10 + 2 × 1 + 6 × 1/10 + 3 × 1/100 + 0 × 1/1000

= 100 + 0 + 2 + 0.6 + 0.03 + 0
= 102.630 = 102.63

(c) 0 Hundreds + 3 Tens + 0 Ones + 0 Tenths + 2 Hundredths + 5 Thousandths
= 0 × 100 + 3 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100 + 5 × 1/1000
= 0 + 30 + 0 + 0 + 0.02 + 0.005
= 30.025

(d) 2 Hundreds + 1 Tens + 1 Ones + 9 Tenths + 0 Hundredths + 2 Thousandths
= 2
× 100 + 1 × 10 + 1 × 1 + 9 × 1/10 + 0 × 1/100 + 2 × 1/1000
= 200 + 10 + 1 + 0.9 + 0 + 0.002
= 211 + 0.902 = 211.902

(e) 0 Hundreds + 1 Tens + 2 Ones + 2 Tenths + 4 Hundredths + 1 Thousandths
= 0
× 100 + 1 × 10 + 2 × 1 + 2 × 1/10 + 4 × 1/100 + 1 × 1/1000
= 0 + 10 + 2 + 0.2 + 0.04 + 0.001
= 12 + 0.241 = 12.241

 

Ex 8.2 Class 6 Maths Question 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

Solution:
(a) 0.29 = 0 + 0.2 + 0.09 = 0 Ones + 2 Tenths + 9 Hundredths
(b) 2.08 = 2 + 0.0 + 0.08 = 2 Ones + 0 Tenths + 8 Hundredths
(c) 19.60 = 10 + 9 + 0.6 + 0.00 = 1 Tens + 9 Ones + 6 Tenths + 0 Hundredths
(d) 148.32 = 100 + 40 + 8 + 0.3 + 0.02 = 1 Hundred + 4 Tens + 8 Ones + 3 Tenths + 2 Hundredths
(e) 200.812 = 200 + 0.8 + 0.01 + 0.002 = 2 Hundreds + 8 Tenths + 1 Hundredth + 2 Thousandths
The above decimals can be shown in the place value table as follows:

 

Hund­reds
(100)

Tens
(10)

Ones
(1)

Ten­ths
(1/10)

Hund­redths
(1/100)

Thous­andths
(1/1000)

(a)

0

0

0

2

9

0

(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

 

Ex 8.2 Class 6 Maths Question 4.

Write each of the following as decimals.

Solution:

Ex 8.2 Class 6 Maths Question 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

Solution:
(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

 

Ex 8.2 Class 6 Maths Question 6.

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

Solution:
(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.

 

Ex 8.2 Class 6 Maths Question 7.

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

Solution:




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