Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers

Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers

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EXERCISE 2 (A)

Question 1.
Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits.

Solution:
Largest two digit = 99
Smallest, number of four digit = 1000 Now numerator = 99 and denominator = 1000
∴ Rational number = \(\frac { 99 }{ 1000 }\)

Question 2.
Write the numerator of each of the following rational numbers:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 1

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 2
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 3

Question 3.
Write the denominator of each of the following rational numbers:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 4

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 5

Question 4.
Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5).

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 6

Question 5.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 7

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 8

Question 6.
Separate positive and negative rational numbers from the following :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 9
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 10
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 11

Question 7.
Find three rational numbers equivalent to
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 12

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 13
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 14

Question 8.
Which of the following are not rational numbers :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 15

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 16

Question 9.
Express each of the following integers as a rational number with denominator 7 :
(i) 5
(ii) -8
(iii) 0
(iv) -16
(v) 7

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 17
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 18

Question 10.
Express \(\frac { 3 }{ 5 }\) as a rational number with denominator:

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 19

Question 11.
Express \(\frac { 4 }{ 7 }\) as a rational number with numerator :

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 20

Question 12.
Find x, such that:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 21

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 22
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 23
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 24
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 25

Question 13.
Express each of the following rational numbers to the lowest terms :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 26

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 27
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 28

Question 14.
Express each of the following rational numbers in the standard form.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 29

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 30
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 31

EXERCISE 2 (B)

Question 1.
Mark the following pairs of rational numbers on the separate number lines :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 32

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 33
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 34

Question 2.
Compare:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 35

Solution:

Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 37
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 38
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 39

Question 3.
Compare:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 40

Solution:
v
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 42
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 43
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 44

Question 4.
Arrange the given rational numbers in ascending order :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 45

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 46
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 47

Question 5.
Arrange the given rational numbers in descending order:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 48

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 49
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 50

Question 6.
Fill in the blanks :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 51

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 52
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 53

EXERCISE 2 (C)

Question 1.
Add:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 54

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 55
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 56

Question 2.
Add:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 57

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 58
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 59
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 60
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 61
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 62
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 63

Question 3.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 64

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 65
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 66
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 67

Question 4.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 68

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 69
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 70
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 71

Question 5.
Subtract :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 72

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 73
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 74

Question 6.
Subtract :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 75

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 76
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 77
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 78
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 79

Question 7.
The sum of two rational numbers is \(\frac { 11 }{ 24 }\). If one of them is \(\frac { 3 }{ 8 }\), find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 80

Question 8.
The sum of two rational numbers is \(\frac { -7 }{ 11 }\). If one of them is \(\frac { 13 }{ 24 }\), find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 81

Question 9.
The sum of two rational numbers is -4. If one of them is \(-\frac { 13 }{ 12 }\) , find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 82

Question 10.
What should be added to \(-\frac { 3 }{ 6 }\) to get \(-\frac { 11 }{ 24 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 83
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 84

Question 11.
What should be added to \(\frac { -3 }{ 5 }\) to get 2?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 85

Question 12.
What should be subtracted from \(\frac { -4 }{ 5 }\) to get 1?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 86
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 87

Question 13.
The sum of two numbers is \(-\frac { 6 }{ 5 }\). If one of them is -2, find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 88

Question 14.
What should be added to \(\frac { -7 }{ 12 }\) to get \(\frac { 3 }{ 8 }\)?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 89

Question 15.
What should be subtracted from \(\frac { 5 }{ 9 }\)to get \(\frac { 9 }{ 5 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 90

EXERCISE 2 (D)

Question 1.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 91

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 92
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 93
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 94

Question 2.
Multiply:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 95

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 96
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 97
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 98
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 99

Question 3.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 100
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 101

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 102
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 103
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 104
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 105
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 106

Question 4.
Find the cost of 3 \(\frac { 1 }{ 2 }\) m cloth, if one metre cloth costs ₹325 \(\frac { 1 }{ 2 }\).

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 107

Question 5.
A bus is moving with a speed of 65 \(\frac { 1 }{ 2 }\) km per hour. How much distance will it cover in 1 \(\frac { 1 }{ 3 }\) hours.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 108

Question 6.
Divide:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 109

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 110
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 111

Question 7.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 112

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 113
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 114
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 115

Question 8.
The product of two numbers is 14. If one of the numbers is \(\frac { -8 }{ 7 }\), find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 116

Question 9.
The cost of 11 pens is ₹3 \(\frac { 2 }{ 3 }\). Find the cost of one pen.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 117

Question 10.
If 6 identical articles can be bought for ₹2 \(\frac { 6 }{ 17 }\). Find the cost of each article.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 118

Question 11.
By what number should \(\frac { -3 }{ 8 }\) be multiplied so that the product is \(\frac { -9 }{ 16 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 119

Question 12.
By what number should \(\frac { -5 }{ 7 }\) be divided so -15 that the result is\(\frac { -15 }{ 28 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 120

Question 13.
Evaluate :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 121

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 122

Question 14.
Seven equal piece are made out of a rope 5 of 21 \(\frac { 5 }{ 7 }\) m. Find the length of each piece.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 123

EXERCISE 2 (E)

Question 1.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 124

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 125
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 126
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 127
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 128
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 129
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 131
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 132
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 133

Question 2.
The sum of two rational numbers is \(\frac { -3 }{ 8 }\). If one of them is \(\frac { 3 }{ 16 }\), find the other,

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 134

Question 3.
The sum of two rational numbers is -5. If one of them is \(\frac { -52 }{ 25 }\) , find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 135

Question 4.
What rational number should be added to \(-\frac { 3 }{ 16 }\) to get \(\frac { 11 }{ 24 }\)

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 136
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 137

Question 5.
What rational number should be added to \(-\frac { 3 }{ 5 }\) to get 2?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 138

Question 6.
What rational number should be subtracted from \(-\frac { 5 }{ 12 }\)to get \(\frac { 5 }{ 24 }\)

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 139

Question 7.
What rational number should be subtracted from \(\frac { 5 }{ 8 }\) to get \(\frac { 8 }{ 5 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 140

Question 8.
Evaluate:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 141

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 142
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 143
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 144
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 145
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 146

Question 9.
The product of two rational numbers is 24. If one of them is \(-\frac { 36}{ 11 }\), find the other.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 147

Question 10.
By what rational number should we multiply \(\frac { 20 }{ -9 }\) ,so that the product may be \(\frac { -5 }{ 9 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers image - 148

 

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