Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions

Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions

Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions

Decimal Fractions Exercise 15A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Write the number of decimal places in each of the following :
(i) 7.03
(ii) 0.509
(iii) 146.2
(iv) 0.0065
(v) 8.03207
Solution:

Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A 1

Question 2.
Convert the given unlike decimal fractions into like decimal fractions:
(i) 1.36, 239.8 and 47.008
(ii) 507.0752, 8.52073 and 0.808
(iii) 459.22, 7.03093 and 0.200037
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A 2

Question 3.
Change each of following fractions to a decimal fraction :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A Q3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A 3

Question 4.
Convert into a decimal fraction :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A Q4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A 4

Question 5.
Change the given decimals fractions to fractions in their lowest terms :
(i) 0.05
(ii) 3.95
(iii) 4.005
(iv) 0.876
(v) 50.06
(vi) 0.01075
(vii) 4.8806
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15A 5

Decimal Fractions Exercise 15B – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Add the following :
(i) 0.243, 2.47 and 3.009
(ii) 0.0736, 0.6095 and 0.9107
(iii) 1.01, 257 and 0.200
(iv) 18, 200.35, 11.72 and 2.3
(v) 0.586, 0.0586 and 0.00586
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 6

Question 2.
Find the value of :
(i) 6.8 – 2.64
(ii) 2 – 1.0304
(iii) 0.1 – 0.08
(iv) 0.83 – 0.342
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 7

Question 3.
Subtract :
(i) 0.43 from 0.97
(ii) 2.008 from 22.1058
(iii) 0.18 from 0.6
(iv) 1.002 from 17
(v) 83 from 92.05
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 8

Question 4.
Simplify :
(i) 3.5 – 2.43 + 0.075
(ii) 7.84 + 0.3 – 4.016
(iii) 2.987 – 1.25 – 0.54
(iv) 52.9 – 231.666 + 204
(v) 8.57 – 6.4432 – 1.70 + 0.683
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 9

Question 5.
From the sum of 75.75 and 4.9 subtract 28.465.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 10

Question 6.
Subtract the sum of 8.14 and 12.9 from 32.7.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 11

Question 7.
Subtract the sum of 34.27 and 159.8 from the sum of 20.937 and 200.6.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 12

Question 8.
From the sum of 2.43 and 4.349 subtract the sum of 0.8 and 3.15.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 13

Question 9.
By how much does the sum of 18.0495 and 34.9644 exceed the sum of 7.6752 and 24.876?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 14

Question 10.
What least number must be added to 89.376 to get 1000?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15B 15

Decimal Fractions Exercise 15C – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Multiply :
(i) 5.6 and 8
(ii) 38.46 and 9
(iii) 0.943 and 62
(iv) 0.0453 and 35
(v) 7.5 and 2.5
(vi) 4.23 and 0.8
(vii) 83.54 and 0.07
(viii) 0.636 and 1.83
(ix) 6.4564 and 1000
(x) 0.076 and 100
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 16
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 17

Question 2.
Evaluate :
(i) 0.0008 x 26
(ii) 0.038 x 95
(iii) 1.2 x 2.4 x 3.6
(iv) 0.9 x 1.8 x 0.27
(v) 1.5 x 1.5 x 1.5
(vi) 0.025 x 0.025
(vii) 0.2 x 0.002 x 0.001
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 18
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 19
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 20

Question 3.
Multiply each of the following numbers by 10, 100 and 1000 :
(i) 3.9
(ii) 2.89
(in) 0.0829
(iv) 40.3
(v) 0.3725
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 21

Question 4.
Evaluate :
(i) 8.64 ÷ 8
(ii) 0.0072 ÷ 6
(iii) 20.64 ÷ 16
(iv) 1.602 ÷ 15
(v) 13.08 ÷ 4
(vi) 3.204 ÷ 9
(vii) 3.024 ÷ 12
(viii) 5.15 ÷ 5
(ix) 3 ÷ 5
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 22

Question 5.
Divide each of the following numbers by 10,100 and 1000 :
(i) 49.79
(ii) 0.923
(iii) 0.0704
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 23

Question 6.
Evaluate :
(i) 9.4 ÷ 0.47
(ii) 6.3 ÷ 0.09
(iii) 2.88 ÷ 1.2
(iv) 8.64 ÷ 1.6
(v) 37.188 ÷ 3.6
(vi) 16.5 ÷ 0.15
(vii) 3.2 ÷ 0.005
(viii) 3.24 ÷ 0.0016
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 24
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 25

Question 7.
Fill in the blanks with 10,100,1000, or 10000 etc.:
(i) 7.85 x ………….. = 78.5
(ii) 0.442 x ………. = 442
(in) 0.0924 x ………… = 9.24
(iv) 0.00187 x …………. = 18-7
(v) 2.6 x …………. = 2600
(vi) 0.08 x ………… = 80
(vii) 96.7 ÷ ………….. = 0.967
(viii) 5.2 ÷ ……………. = 0.52
(ix) 33.15 ÷ ……………….. = 0.03315
(x) 0.7 ÷ ………… = 0.007
(xi) 0.00672 x ……… = 67.2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 26

Question 8.
Evaluate :
(i) 9.32 – 28.54 ÷ 10
(ii) 0.234 x 10 + 62.8
(iii) 3.06 x 100 – 889.4 ÷ 100
(iv) 2.86 x 7.5 + 45.4 ÷ 0.2
(v) 97.82 x 0.03 – 0.54 ÷ 0.3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 27
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15C 28

Decimal Fractions Exercise 15D – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Express in paise :
(i) Rs. 8.40
(ii) Rs. 0.97
(iii) Rs. 0.09
(iv) Rs. 62.35
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 29

Question 2.
Express in rupees :
(i) 55 P
(ii) 8 P
(iii) 695 P
(iv) 3279 P
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 30

Question 3.
Express in centimetre (cm) :
(i) 6 m
(ii) 8.54 m
(iii) 3.08 m
(iv) 0.87 m
(v) 0.03 m
(vi) 25.04 m
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 31

Question 4.
Express in metre (m) :
(i) 250 cm
(ii) 2328 cm
(iii) 86 cm
(iv) 4 cm
(v) 107 cm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 32

Question 5.
Express in gramme (gm) :
(i) 6 kg
(ii) 5.543 kg
(iii) 0.078 kg
(iv) 3.62 kg
(v) 4.5 kg
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 33

Question 6.
Express in kilogramme (kg) :
(i) 7000 gm
(ii) 6839 gm
(iii) 445 gm
(iv) 8 gm
(iv) 93 gm
(vi) 13545 gm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 34

Question 7.
Add (giving answer in rupees) :
(i) Rs. 5.37 and Rs. 12
(ii) Rs. 24.03 and 532 paise
(iii) 73 paise and Rs. 208
(iv) 8 paise and Rs. 1536
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 35

Question 8.
Subtract :
(i) Rs. 35.74 from Rs. 63.22
(ii) 286 paise from Rs. 7.02
(iii) Rs. 0.55 from 121 paise
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 36

Question 9.
Add (giving answer in metre) :
(i) 2.4 m and 1.78 m
(ii) 848 cm and 2.9 m
(iii) 0.93 m and 64 cm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 37

Question 10.
Subtract (giving answer in metre) :
(i) 5.03 m from 19.6 m
(ii) 428 cm from 1033 m
(iii) 0.84 m from 122 cm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 38

Question 11.
Add (giving answer in kg) :
(i) 2.06 kg and 57.864 kg
(ii) 778 gm and 1.939 kg
(iii) 0.065 kg and 4023 gm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 39

Question 12.
Subtract (giving answer in kg) :
(i) 9.462 kg from 15.6 kg
(ii) 4317 gm from 23 kg
(iii) 0.798 kg from 4169 gm
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15D 40

Decimal Fractions Exercise 15E – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
The cost of a fountain pen is Rs. 13.25. Find the cost of 8 such pens.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 41

Question 2.
The cost of 25 identical articles is Rs. 218.25. Find the cost of one article.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 42

Question 3.
The length of an iron rod is 10.32 m. The rod is divided into 4 pieces of equal lengths. Find the length of each piece.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 43

Question 4.
What will be the total length of cloth required to make 5 shirts, if 2.15 m of cloth is needed for each shirt?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 44

Question 5.
Find the distance walked by a boy in 1\(\frac { 1 }{ 2 }\) hours, if he walks at 2.150 km every hour.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 45

Question 6.
83 note-books are sold at Rs. 15.25 each. Find the total money (in rupees) obtained by selling these note-books.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 46

Question 7.
If length of one bed-cover is 2.1 m, find the total length of 17 bed-covers.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 47

Question 8.
A piece of rope is 10 m 67 cm long. Another rope is 16 m 32 cm long. By how much is the second rope longer than the first one?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 48

Question 9.
12 cakes of soap together weigh 5 kg and 604 gm. Find the weight of
(i) One cake in both kg and gramme
(ii) 5 cakes in kg.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 49

Question 10.
Three strings of lengths 50 m 75 cm; 68 m 58 cm and 121 m 3 cm, respectively, are joined together to get a single string of greatest length, And the length of the single string obtained.
If this single string is then divided into 12 equal pieces ; find the length of each piece.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Ex 15E 50

Decimal Fractions Revision Exercise – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Write th& following decimal numbers in ascending order of value
(i) 5.054, 5.250, 5.245 and 5.0543
(ii) 62.443, 62.434, 62.344 and 62.444
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 51

Question 2.
What number added to 0.805 gives 1?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 52

Question 3.
What must be subtracted from 3 to get 2.462?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 53

Question 4.
By how much should 83.407 be decreased to get 27.78?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 54

Question 5.
Two articles weigh 32.674 kg and 40.038 kg respectively. Find :
(i) the total weight of both the articles.
(ii) the difference in the weights of both the articles.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 55

Question 6.
By how much does the sum of 34.07 and 15.239 exceed the sum of 16.40 and 27.08?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 56

Question 7.
The cost of 1 kg of fruit is Rs. 27.50. What is the cost of 3.6 kg of fruit?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 57

Question 8.
Evaluate :
(i) 0.8 x 0.8 x 0.8
(ii) 0.8 ÷ 0.8 x 0.8
(iii) 0.8 x 0.8 ÷ 0.8
(iv) 0.8 ÷ 0.8 of 0.8
(v) 0.8 of 0.8 ÷ 0.8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 58

Question 9.
Evaluate :
(i) 3.5 x (4.2 + 2.6)
(ii) 3.5 x 4.2 + 3.5 x 2.6
Are (i) and (ii) equal ?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 59

Question 10.
Evaluate :
(i) (3.87 – 2.09) x 2.4
(ii) 3.87 x 2.4 – 2.09 x 2.4
Are (i) and (ii) equal ?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 60

Question 11.
A 4.85 m long pole is divided into 5 equal parts. Find the length of each part.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 61

Question 12.
A car can run 16.8 km consuming one litre of petrol. How many kilometres will it run on 3.7 litres of petrol ?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 62

Question 13.
A certain amount of money is distributed among 28 persons. If each person gets Rs. 62.45 and Rs. 5.78 is left, find the original amount of money.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 63

Question 14.
Complete the following table :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex Q14
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 64

Question 15.
The difference between two numbers is 47.364. If the smaller number is 31.855 ; find the bigger one.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 15 Decimal Fractions Revision Ex 65

Selina Concise Mathematics Class 6 ICSE Solutions