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NCERT Solutions for Class 6 Maths Chapter 7: Decimals




In this page we have NCERT Solutions for Class 6 Maths Chapter 7: Decimals Exercise 8.1. Hope you like them and do not forget to like , social share and comment at the end of the page.

Exercise 8.1


Question 1

Write the following as numbers in the given table.

(a)NCERT Solutions for Class 6 Maths Chapter 7: Decimals Exercise 8.1 Question 1


(b)NCERT Solutions for Class 6 Maths Chapter 7: Decimals


Hundreds (100)

Tens

(10)

Ones

(1)

Tenths

-
     
       

Answer

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. One block divided into 100 equal parts means each part is (1/100) one-hundredth of a unit.

Hundreds (100)

Tens

(10)

Ones

(1)

Tenths

0

3

1

2

1

1

0

4

                      
Question 2

Write the following decimals in the place value table.

(a) 19.4

(b) 0.3

(c) 10.6

(d) 205.9

Answer


Hundreds

Tens

Ones

Tenths

a)

0

1

9

4

b)

0

0

0

3

c)

0

1

0

6

d)

2

0

5

9


Question 3

Write each of the following as decimals:

(a) Seven-tenths

(b) Two tens and nine-tenths

(c) Fourteen-point six

 (d) One hundred and two ones

(e) Six-hundred-point eight

Answer

a)      Seven-tenths

         =7/10 =.7

b)      Two tens and nine tenths = 20 + 9/10 =20 +.9=20.9

c)      Fourteen point six = 14.6

d)     One hundred and two ones = 100 + 2 = 102

e)      Six hundred point eight = 600.8

Question 4

Write each of the following as decimals:

(a) $\frac {5}{10}$

(b) $3 + \frac {7}{10}$

(c) $200 + 60 +5 + \frac {1}{10}$

(d) $70+ \frac {8}{10}$

(e) $ \frac {88}{10}$

(f) $ 4 \frac {2}{10}$

(g) $ \frac {3}{2}$
(h) $ \frac {2}{5}$

(i) $ \frac {12}{5}$

(j)$ 3 \frac {3}{5}$

(k)$ 4 \frac {1}{2}$


Answer

a)

$\frac {5}{10}$

There are 5 tenths in the number

.5

b)
$3 + \frac {7}{10}$
There are 3 ones and 7 tenths

3+.7

3.7

c)
$200 + 60 +5 + \frac {1}{10}$

There are 2 hundred ,6 tens,5 ones and 1 tenth

200+60+5+.1

265.1

d)
$70+ \frac {8}{10}$

There are 7 tens, 0 ones and 8 tenths in the number

70.8

e)

$ \frac {88}{10}$

Here the numerator is bigger than denominator, so converting into mixed fraction we get

8   + 8/10

8.8

f)
$ 4 \frac {2}{10}$
4 + 2/10

4.2

g)
$ \frac {3}{2}$
For writing in decimal notation, the denominator of the fraction should be 10. So, we make an equivalent fraction as,

3/2 = 15/10

Here the numerator is bigger than denominator, so converting into mixed fraction we get

1 + 5/10


1.5

h)
$ \frac {2}{5}$
For writing in decimal notation, the denominator of the fraction should be 10. So, we make an equivalent fraction as,

2/5 = 4/10


.4

i)
$ \frac {12}{5}$
For writing in decimal notation, the denominator of the fraction should be 10. So, we make an equivalent fraction as,

12/5 = 24/10

Here the numerator is bigger than denominator, so converting into mixed fraction we get

2 + 4/10


2.4

j)
$ 3 \frac {3}{5}$
3 + 3/5

=3 + 6/10

3.6

k)
$ 4 \frac {1}{2}$

4+ ½= 4 + 5/10

4.5


Question 5

Write the following decimals as fractions. Reduce the fractions to lowest form.

(a) 0.6

 (b) 2.5

(c) 1.0

(d) 3.8

(e) 13.7

(f) 21.2

(g) 6.4

Answer

a)

.6

6/10= 3/5

b)

2.5

25/10 = 5/2

c)

1.0

1

d)

3.8

38/10=19/5

e)

13.7

137/10

f)

21.2

212/10= 106/5

g)

6.4

64/10= 32/5


Question 6

Express the following as cm using decimals.

(a) 2 mm

(b) 30 mm

(c) 116 mm

(d) 4 cm 2 mm

(e) 162 mm

 (f) 83 mm

Answer

We know that 10 mm =1 cm i.e.   1 mm is 1/10 of centimeter

a)  2 mm = 2/10 cm = .2 cm

b) 30mm = 30/10 cm = 3 cm

c) 116 mm= 116/10 cm = 11.6 cm

d) 4 cm 2 mm= (4 + 2/10) cm = 4.2 cm

e) 162 mm = 162/10 cm = 16.2 cm

f) 83 mm = 83/10 cm = 8.3 cm

Question 7

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

NCERT Solutions for Class 6 Maths Chapter 7: Decimals

(a) 0.8

 (b) 5.1

(c) 2.6

(d) 6.4

(e) 9.1

(f) 4.9

Answer

a)      0.8 = 0 + 8/10

So, it lies between 0 and 1 and is nearer to 1.

b)      5.1 = 5 + 1/10

So, it lies between 5 and 6 and is nearer to 5.

c)      2.6 = 2 + 6/10

So, it lies between 2 and 3 and is nearer to 3.

d)     6.4 = 6 + 4/10

So, it lies between 6 and 7 and is nearer to 6.

e)      9.1 = 9 + 1/10

So, it lies between 9 and 10 and is nearer to 9.

f)       4.9 = 4 + 9/10

So, it lies between 4 and 5 and is nearer to 5.

Question 8

Show the following numbers on the number line.

(a) 0.2

(b) 1.9

(c) 1.1

(d) 2.5

Answer

    a)      0.2 lies between 0 and 1. There are 2 tenths in it. Divide the unit length into 10 equal parts and 0.2 represents the 2nd part.

    b)      1.9 lies between 1 and 2. There are 9 tenths in it. 1.9 represents the ninth part after 1.

   c)      1.1 lies between 1 and 2. There are 1 tenth in it. 1.1 represents the first part after 1.

  d)     2.5 lies between 2 and 3. There are 5 tenths in it. 2.5 represents the fifth part after 2.

Question 9

Write the decimal number represented by the points A, B, C, D on the given number line?

NCERT Solutions for Class 6 Maths Chapter 7: Decimals

Answer

Each interval is divided in ten equal parts and we can just count the part to get the value

a)

A

A represents the 8th equal part between 0 and 1. So, A is 0.8.


b)

B

B represents the 3rd equal part between 1 and 2. So, B is 1.3

c)

C

 C represents the 2nd equal part between 2 and 3 and hence is the number 2.2

d)

D

D is 2.9, the 9th equal part between 2 and 3.


Question 10

(a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?

(b) The length of a young gram plant is 65 mm. Express its length in cm.

Answer

We know that 10 mm =1 cm i.e.   1 mm is 1/10 of centimeter

a) length= 9cm5mm = 9 + 5/10= 9.5 cm

b) length= 65mm =65/10= 6.5 cm

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Reference Books for class 6

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Given below are the links of some of the reference books for class 6 science and class 6 math.

  1. Science Foundation Course For JEE/NEET/NSO/Olympiad - Class 6
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  4. Mathematics for class 6 by R S Aggarwal

You can use above books for extra knowledge and practicing different questions.



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