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NCERT Solutions for Class 6 Maths Chapter 8: Decimals

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NCERT Solutions for Class 6 Maths Chapter 8 Decimals by Swiflearn are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 6 Maths Chapter 8 are designed as per the CBSE Class 6 Maths Syllabus. These NCERT Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of NCERT Solutions Class 6 Chapter 8.

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NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.1

Question 1:
Write the following as numbers in the given table:

Solution:

Question 2:
Write the following decimals in the place value table:
(a) 19.4
(b) 0.3
(c) 10.6
(d) 205.9

Solution:

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

Solution:
(a) 0.7
(b) 20.9
(c) 14.6
(d)102
(e) 600.8

Question 4:
Write each of the following as decimals:

Solution:

Question 5:
Write the following decimals as fraction. Reduce the fractions to lowest
terms:
(a) 0.6 (b) 2.5 (c) 1 .0 (d) 3.8
(e) 1 3.7 (f ) 21.2 (g) 6.4

Solution:

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

Solution:

Question 7:
Between which two whole numbers on the number line are the given lie?
Which of these whole numbers is nearer the number?

(a) 0.8 (b) 5.1 (c) 2.6 (d) 6.4
(e) 9.1 (f ) 4.9

Solution:
(a) Between 0 to 1, and 0.8 is nearer to 1.
(b) Between 5 to 5, and 5.1 is nearer to 5.
(c) Between 2 to 3, and 2.6 is nearer to 3.
(d) Between 6 to 7, and 6.4 is nearer to 6
(e) Between 9 to 10, and 9.1 is nearer to 9.
(f) Between 4 to 5, and 4.9 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

Solution:
(a) 0.2

(b) 1.9

(c) 1.1

(d) 2.5

Question 9:
Write the decimal number represented by the points A, B, C, D:

Solution:
(A) 0.8
(B) 1.3
(C) 2.2
(D) 2.9

Question 10:
(a) The length of Ramesh’s notebook is 9 cm and 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.

NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.2

Question 1:
Complete the table with the help of these boxes and use decimals to write
numbers:

Solution:

Question 2:
Write the numbers given in the following place value table in the decimal
form:

Solution:

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:

Question 4:
Write the each of the following as decimals:

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) Zero point zero three
(b) One point two zero
(c) One hundred and eight point five six
(d) Ten point zero seven
(e) Zero point zero three two
(f) Five point zero zero eight

(a) 0.06 (b) 0.45 (c) 0.19 (d) 0.66
(e) 0.92 (f) 0.57

Question 6:
Between which two numbers in tenths place on the number line does each
of the given number lie?

Solution:
(a) 0.06, lies between 0.0 and 0.01.
(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.

Question 7:
Write as fractional in lowest terms:
(a) 0.60 (b) 0.05 (c) 0.75 (d) 0.18
(e) 0.25 (f) 0.125 (g) 0.066

NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.3

Question 1:
Which is greater:
(a) 0.3 or 0.4
(b) 0.07 or 0.02
(c) 3 or 0.8
(d) 0.5 or 0.05
(e) 1.23 or 1.2
(f) 0.099 or 0.19
(g) 1.5 or 1.50
(h) 1.431 or 1.490
(i) 3.3 or 3.300
(j) 5.64 or 5.603

Solution:
Before comparing, we write both terms in like decimals:
(a) 0.3 < 0.4
(b) 0.07 > 0.02
(c) 3.0 > 0.8
(d) 0.50 > 0.05
(e) 1.23 > 1.20
(f) 0.099 < 0.190
(g) 1.50 = 1.50
(h) 1.431 < 1.490
(i) 3.300 = 3.300
(j) 5.640 > 5.603

Question 2:
Make five more examples and find the greater:

Solution:
The five examples are as follows
(a) 1.8 or 1.82

(b) 1.0009 or 1.09
(c) 10.01 or 100.1
(d) 5.100 or 5.0100
(e) 04.213 or 0421.3
Before comparing, we write both terms in like decimals
(a) 1.80 or 1.82
1.82 > 1.8
(b) 1.0009 or 1.0900
1.09 > 1.0009
(c) 10.01 or 100.10
100.1 > 10.01
(d) 5.1000 or 5.0100
5.100 > 5.0100
(e) 04.213 or 0421.300
0421.3 > 04.213

NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.4

Question 1:
Express as rupees using decimals:
(a) 5 paise (b) 75 paise
(c) 20 paise (d) 50 rupees 90 paise
(e) 725 paise

Solution:

Question 2:
Express as meters using decimals:
(a) 15 cm (b) 6 cm
(c) 2 m 45 cm (d) 9 m 7 cm
(e) 419 cm

Solution:

Question 3:
Express as cm using decimals:
(a) 5 mm (b) 60 mm
(c) 164 mm (d) 9 cm 8 mm
(e) 93 mm

Question 4:
Express as km using decimals:
(a) 8 m (b) 88 m
(c) 8888 m (d) 70 km 5 m

Question 5:
Express as kg using decimals:
(a) 2 g (b) 100 g
(c) 3750 g (d) 5 kg 8 g
(e) 26 kg 50 g

Solution:

NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.5

Question 1:
Find the sum in each of the following:
(a) 0.007 + 8.5 + 30.08 (b) 15 + 0.632 + 13.8
(c) 27.076 + 0.55 + 0.004 (d) 25.65 + 9.005 + 3.7
(e) 0.75 + 10.425 + 2 (f) 280.69 + 25.2 + 38

Solution:

Question 2:
Rashid spent Rs. 35.75 for Maths book and Rs. 32.60 for Science book.
Find the total amount spent by Rashid.

Solution:

The money spent on maths book is Rs.35.75. and that for science is Rs.32.60, the total amount of money spent is Rs.68.35.

Question 3:
Radhika’s mother gave her Rs. 10.50 and her father gave her Rs. 15.80.
Find the total amount given to Radhika by the parents.

Solution:
The money given by her mother father make up the total money and it is, 10.50 + 15.80 = Rs.26.30.

Question 4:
Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her
trouser. Find the total length of cloth bought by her.

Solution:
To find the total length we will add the total cloth by her, we will add up the like terms, 3 m 20 cm + 2 m 5 cm = 5 m 25 cm = 5.25 m

Question 5:
Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening.
How much distance did he walk in all?

Solution:
The distance walked in the morning is 2 km 35 m = 2.035 km, and that in evening is 1 km 7 m = 1.007 km, the total distance is
2.035+1.007 = 3.042 km

Question 6:
Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m by foot in
order to reach her school. How far is her school from her residence?

Solution:
Distance travelled by bus is 15.268 km, that by car is 7.007 km and that by foot is 0.5 km, the total distance covered by her is,
15.268+7.007+0.5 = 22.775 km

Question 7:
Ravi purchases 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find
the total weight of his purchases.

Solution:

The things purchased by him have the weights, 5.4 kg rice, 2.02 kg sugar, 10.85 kg flour. The total weight is,
5.4 + 2.02 + 10.85 = 18.27 kg.

NCERT Solutions for Class 6 Maths Chapter 8: Decimals Ex 8.6

Question 1:
Subtract:
(a) Rs. 18.25 from Rs. 20.75
(b) 202.54 m from 250
(c) Rs. 5.36 from Rs. 8.40
(d) 2.051 km from 5.206 km
(e) 0.314 kg from 2.107 kg

Solution:

Question 2:
Find the value of:
(a) 9.756 – 6.28
(b) 21.05 – 15.27
(c) 18.5 – 6.79
(d) 11.6 – 9.847


Solution:

Question 3:
Raju bought a book of Rs. 35.65. He gave Rs. 50 to the shopkeeper. How
much money did he get back from the shopkeeper?

Solution:
The amount given to the shopkeeper is Rs. 50 and the money which has to be kept by the shopkeeper is Rs. 35.65, so,
50 – 35.65 = Rs.14.35

Question 4:
Rani had Rs. 18.50. She bought one ice-cream for Rs. 11.75. How much
money does she have now?

Solution:
The money she had is 18.50 Rs. and she spent 11.75 Rs. on ice cream the left out money is,
18.50 – 11.75 = Rs.6.75.

Question 5:
Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this
for making a curtain. How much cloth is left with her?

Solution:
The length of cloth she had is 20.05 m and she cuts 4.5 m of that cloths, the leftover cloth is,
20.05 – 4.5 = 15.55 m

Question 6:
Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m
by bus and the rest by auto. How much distance does she travel by auto?

Solution:
The total distance is 20.05 km and the distance covered by bus is 10.2 km, so the distance covered by auto is,
20.05 – 10.2 = 9.850 km

Question 7:
Aakash bought vegetables weighing 10 kg. Out of this 3 kg 500 g in onions,
2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the
potatoes?

Solution:
The total weight is 10 kg and that of onions is 3.5 kg and that of tomatoes is 2.075 kg, the weight of the potatoes is,

10 – 3.5 – 2.075 = 4.425 kg

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