Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals) Exercise 4D

Selina Solutions Concise Maths Class 7 Chapter 4 Decimal Fractions (Decimals) Exercise 4D mainly discusses the concept of terminating, non terminating and recurring decimals. The method of converting them and the steps to be followed are explained in simple language for a better understanding among students. Students can improve their time management skills by solving problems using the solutions designed by faculty at BYJU’S. Selina Solutions Concise Maths Class 7 Chapter 4 Decimal Fractions (Decimals) Exercise 4D, PDF links are available below.

Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals) Exercise 4D Download PDF

 

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Access other exercises of Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals)

Exercise 4A Solutions

Exercise 4B Solutions

Exercise 4C Solutions

Exercise 4E Solutions

Exercise 4F Solutions

Access Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals) Exercise 4D

1. Find whether the given division forms a terminating decimal or a non-terminating decimal:

(i) 3 ÷ 8

(ii) 8 ÷ 3

(iii) 6÷ 5

(iv) 5 ÷ 6

(v) 12.5 ÷ 4

(vi) 23 ÷ 0.7

(vii) 42 ÷ 9

(viii) 0.56÷ 0.11

Solution:

(i) 3 ÷ 8
We know that

3 ÷ 8 = 0.375

Therefore, it is terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 84

(ii) 8 ÷ 3
We know that

8 ÷ 3 = 2.666

Therefore, it is a non-terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 85

(iii) 6 ÷ 5
We know that

6 ÷ 5 = 1.2

Therefore, it is terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 86

(iv) 5 ÷ 6
We know that

5 ÷ 6 = 0.8333

Therefore, it is non-terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 87

(v) 12.5 ÷ 4
We know that

12.5 ÷ 4 = 3.125

Therefore, it is terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 88

(vi) 23 ÷ 0.7
Multiplying by 10 we get

230 ÷ 7 = 32.8571428

Therefore, it is non-terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 89

(vii) 42 ÷ 9
We know that

42 ÷ 9 = 4.666

Therefore, it is non-terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 90

(viii) 0.56 ÷ 0.11

Multiplying by 100

56 ÷ 11 = 5.0909

Therefore, it is non-terminating decimal.

Selina Solutions Concise Maths Class 7 Chapter 4 Image 91

2. Express as recurring decimals:

(i) 1 1/3

(ii) 10/11

(iii) 5/6

(iv) 2/13

(v) 1/9

(vi) 17/90

(vii) 5/18

(viii) 7/12

Solution:

(i) 1 1/3

It can be written as

1 1/3 = 4/3
Selina Solutions Concise Maths Class 7 Chapter 4 Image 92

Selina Solutions Concise Maths Class 7 Chapter 4 Image 93

(ii) 10/11

It can be written as

10/11 = 0.909090… Selina Solutions Concise Maths Class 7 Chapter 4 Image 94

Selina Solutions Concise Maths Class 7 Chapter 4 Image 95

(iii) 5/6

It can be written as

5/6 = 0.8333…. Selina Solutions Concise Maths Class 7 Chapter 4 Image 96

Selina Solutions Concise Maths Class 7 Chapter 4 Image 97

(iv) 2/13

It can be written as

2/13 = 0.153846153846 Selina Solutions Concise Maths Class 7 Chapter 4 Image 98

Selina Solutions Concise Maths Class 7 Chapter 4 Image 99

(v) 1/9

It can be written as

1/9 = 0.1111 …. Selina Solutions Concise Maths Class 7 Chapter 4 Image 100

Selina Solutions Concise Maths Class 7 Chapter 4 Image 101

(vi) 17/90

It can be written as

17/90 = 0.1888 Selina Solutions Concise Maths Class 7 Chapter 4 Image 102

Selina Solutions Concise Maths Class 7 Chapter 4 Image 103

(vii) 5/18

It can be written as

5/18 = 0.2777 … Selina Solutions Concise Maths Class 7 Chapter 4 Image 104

Selina Solutions Concise Maths Class 7 Chapter 4 Image 105

(viii) 7/12

It can be written as

7/12 = 0.58333…. Selina Solutions Concise Maths Class 7 Chapter 4 Image 106

Selina Solutions Concise Maths Class 7 Chapter 4 Image 107

3. Convert into vulgar fraction:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 108

Solution:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 109

It can be written as

= 3/9

So we get

= (3 – 0)/ 9

= 3/9

= 1/3

Selina Solutions Concise Maths Class 7 Chapter 4 Image 110

It can be written as

= 8/9

So we get

= (8 – 0)/ 9

= 8/9

Selina Solutions Concise Maths Class 7 Chapter 4 Image 111

It can be written as

= 44/9

So we get

= (44 – 4)/ 9

= 40/9

= 4 4/9

Selina Solutions Concise Maths Class 7 Chapter 4 Image 112

It can be written as

= 237/9

So we get

= (237 – 23)/ 9

= 214/9

= 23 7/9

4. Convert into vulgar fraction:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 113

Solution:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 114

It can be written as

= 35/99

So we get

= (35 – 0)/ 99

= 35/99

Selina Solutions Concise Maths Class 7 Chapter 4 Image 115

It can be written as

Selina Solutions Concise Maths Class 7 Chapter 4 Image 116

So we get

= 2 + (23 – 0)/ 99

On further calculation

= 2 + 23/99

= 2 33/99

Selina Solutions Concise Maths Class 7 Chapter 4 Image 117

It can be written as

Selina Solutions Concise Maths Class 7 Chapter 4 Image 118

So we get

= 1 + (28 – 0)/ 99

On further calculation

= 1 + 28/99

= 1 28/99

Selina Solutions Concise Maths Class 7 Chapter 4 Image 119

It can be written as

Selina Solutions Concise Maths Class 7 Chapter 4 Image 120

So we get

= 5 + (234 – 0)/ 999

On further calculation

= 5 234/999

5. Convert into vulgar fraction:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 121

Solution:

Selina Solutions Concise Maths Class 7 Chapter 4 Image 122

It can be written as

= (37 – 3)/ 90

So we get

= 34/90

= 17/45

Selina Solutions Concise Maths Class 7 Chapter 4 Image 123

It can be written as

= (245 – 2)/ 990

So we get

= 243/990

On further calculation

= 81/330

= 27/110

Selina Solutions Concise Maths Class 7 Chapter 4 Image 124

It can be written as

= (685 – 68)/ 900

So we get

= 617/ 900

Selina Solutions Concise Maths Class 7 Chapter 4 Image 125

It can be written as

= (442 – 4)/ 990

So we get

= 438/ 990

= 219/ 495

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