MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2

प्रश्न 1.
योग ज्ञात कीजिए:
(i) \(\frac { 5 }{ 4 } \) + (\(\frac { -11 }{ 4 } \))
(ii) \(\frac { 5 }{ 3 } \) + \(\frac { 3 }{ 5 } \)
(iii) \(\frac { -9 }{ 10 } \) + \(\frac { 22 }{ 15 } \)
(iv) \(\frac { -3 }{ -11 } \) + \(\frac { 5 }{ 9 } \)
(v) \(\frac { -8 }{ 19 } \) + \(\frac { (-2) }{ 57 } \)
(vi) \(\frac { -2 }{ 3 } \) + 0
(vii) -2\(\frac { 1 }{ 3 } \) + 4\(\frac { 3 }{ 5 } \)
हल:
(i) \(\frac { 5 }{ 4 } \) + (\(\frac { -11 }{ 4 } \)) = \(\frac { 5+(-11) }{ 4 } \) = \(\frac { 5-11 }{ 4 } \)
= \(\frac { -6 }{ 4 } \) = \(\frac { -3 }{ 2 } \)

(ii) \(\frac { 5 }{ 3 } \) + \(\frac { 3 }{ 5 } \)
∵ 3 और 5 का ल. स. = 15
∴ \(\frac { 5 }{ 3 } \) + \(\frac { 3 }{ 5 } \) = \(\frac { 25+9 }{ 15 } \) = \(\frac { 34 }{ 15 } \)

(iii) \(\frac { -9 }{ 10 } \) + \(\frac { 22 }{ 15 } \)
∵ 10 और 15 का ल. स. = 30
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 1
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 2
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 3
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 4

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प्रश्न 2.
ज्ञात कीजिए:
(i) \(\frac { 7 }{ 24 } \) – \(\frac { 17 }{ 36 } \)
(ii) \(\frac { 5 }{ 63 } \) – (\(\frac { -6 }{ 21 } \))
(iii) \(\frac { -6 }{ 13 } \) – (\(\frac { -7 }{ 15 } \))
(iv) \(\frac { -3 }{ 8 } \) – \(\frac { 7 }{ 11 } \)
(v) -2 \(\frac { 1 }{ 9 } \) – 6
हल:
(i) \(\frac { 7 }{ 24 } \) – \(\frac { 17 }{ 36 } \) = \(\frac{7 \times 3-17 \times 2}{72}=\frac{21-34}{72}\)
= – \(\frac { 13 }{ 72 } \)
(ii)
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 5
(iii)
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 6
(iv)
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 7
(v)
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 8

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प्रश्न 3.
गुणनफल ज्ञात कीजिए:
(i) \(\frac { 9 }{ 2 } \) × (\(\frac { -7 }{ 4 } \))
(ii) \(\frac { 3 }{ 10 } \) × (-9)
(iii) \(\frac { -6 }{ 5 } \) × \(\frac { 9 }{ 11 } \)
(iv) \(\frac { 3 }{ 7 } \) × (\(\frac { -2 }{ 5 } \))
(v) \(\frac { 3 }{ 11 } \) × \(\frac { 2 }{ 5 } \)
(vi) \(\frac { 3 }{ -5 } \) × \(\frac { -5 }{ 3 } \)
हल:
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 10
MP Board Class 7th Maths Solutions Chapter 9 परिमेय संख्याएँ Ex 9.2 image 11

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प्रश्न 4.
निम्नलिखित के मान ज्ञात कीजिए:
(i) (-4) ÷ \(\frac { 2 }{ 3 } \)
(ii) \(\frac { -3 }{ 5 } \) ÷ 2
(iii) \(\frac { -4 }{ 5 } \) ÷ (-3)
(iv) \(\frac { -1 }{ 8 } \) ÷ \(\frac { 3 }{ 4 } \)
(v) \(\frac { -2 }{ 13 } \) ÷ \(\frac { 1 }{ 7 } \)
(vi) \(\frac { -7 }{ 12 } \) ÷ (\(\frac { -2 }{ 13 } \))
(vii) \(\frac { 3 }{ 13 } \) ÷ (\(\frac { -4 }{ 65 } \))
हल:
(i) (-4) ÷ \(\frac { 2 }{ 3 } \) = -4 × \(\frac { 3 }{ 2 } \)
= \(\frac { -12 }{ 2 } \) = -6

(ii) \(\frac { -3 }{ 5 } \) ÷ 2 = \(\frac { -3 }{ 5 } \) × \(\frac { 1 }{ 2 } \) = \(\frac { -3 }{ 10 } \)

(iii) \(\frac { -4 }{ 5 } \) ÷ (-3) = \(\frac { -4 }{ 5 } \) × \(\frac { 1 }{ -3 } \) = \(\frac { -4 }{ -15 } \) = \(\frac { 4 }{ 15 } \)

(iv) \(\frac { -1 }{ 8 } \) ÷ \(\frac { 3 }{ 4 } \) = \(\frac { -1 }{ 8 } \) × \(\frac { 4 }{ 3 } \) = \(\frac { -4 }{ 24 } \) = – \(\frac { 1 }{ 6 } \)

(v) \(\frac { -2 }{ 13 } \) ÷ \(\frac { 1 }{ 7 } \) = \(\frac { -2 }{ 13 } \) × \(\frac { 7 }{ 1 } \) = \(\frac { -14 }{ 13 } \)

(vi) \(\frac { -7 }{ 12 } \) ÷ (\(\frac { -2 }{ 13 } \)) = \(\frac { -7 }{ 12 } \) × \(\frac { 13 }{ -2 } \) = \(\frac { 91 }{ 24 } \)

(vii) \(\frac { 3 }{ 13 } \) ÷ (\(\frac { -4 }{ 65 } \)) = \(\frac { 3 }{ 13 } \) × \(\frac { 65 }{ -4 } \) = \(\frac{3 \times 5}{-4}\) = \(\frac { -5 }{ 4 } \)

MP Board Class 7th Maths Solutions

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