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Write four more rational numbers in each of the following patterns:
(i) -3/5, -6/10, -9/5, -12/20....
(ii) -1/4, -2/8, -3/12....
(iii) -1/6 , 2/(-12) , 3/(-18) , 4/(-24)....
(iv) -2/3 , 2/(-3) , 4/(-6) , 6/(-9)....

Solution:

This question is based on a definite pattern, while solving such type of questions observe the numerator and denominator carefully. Here both numerator and denominator are following a definite pattern, observe this pattern and follow the same pattern.

(i) -3/5 , -6/10 , -9/15 , -12/20

(-3 × 1)/(5 × 1) , (-3 × 2)/(5 × 2) , (-3 × 3)/(5 × 3) , (-3 × 4)/(5 × 4) …

Next four rational numbers in the same pattern,

(-3 × 5)/(5 × 5), (-3 × 6)/(5 × 6), (-3 × 7)/(5 × 7), (-3 × 8)/(5 × 8)

Therefore, the numbers are -15/25 , -18/30 , -21/35 , -24/40

(ii) -1/4 , -2/8 , -3/12

(-1 × 1)/(4 × 1), (-1 × 2)/(4 × 2) , (-1 × 3)/(4 × 3) …

Next four rational numbers in the same pattern,

(-1 × 4)/(4 × 4), (-1 × 5)/(4 × 5) , (-1 × 6)/(4 × 6) , (-1 × 7)/(4 × 7)

Therefore, the numbers are -4/16 , -5/20 , -6/24 , -7/28 ⋯

(iii) -1/6 , 2/(-12) , 3/(-18), 4/(-24)

(1 × 1)/(- 6 × 1) , (1 × 2)/(- 6 × 2) , (1 × 3)/(- 6 × 3) , (1 × 4)/(- 6 × 4)…

Next four rational numbers in the same pattern,

(1 × 5)/(-6 × 5) , (1 × 6)/(- 6 × 6) , (1 × 7)/(- 6 × 7) , (1 × 8)/(- 6 × 8)

Therefore, the numbers are 5/(-30), 6/(-36), 7/(-42), 8/(-48)…

(iv) -2/3 , 2/(-3), 4/(-6), 6/(-9)

(-2 × 1)/(3 × 1), (2 × 1)/(-3 × 1) , (2 × 2)/(-3 × 2) , (2 × 3)/(-3 × 3) …

Next four rational numbers in the same pattern,

(2 × 4)/(-3 × 4), (2 × 5)/(-3 × 5) , (2 × 6)/(-3 × 6) , (2 × 7)/(-3 × 7)

Therefore, the numbers are 8/(-12), 10/(-15), 12/(-18), 14/(-21)

☛ Check: NCERT Solutions for Class 7 Maths Chapter 9

Video Solution:

Write four more rational numbers in each of the following patterns: (i) -3/5, -6/5, -9/5, -12/5 (ii) -1/4, -2/8, -3/12 (iii) -1/6 , 2/(-12) , 3/(-18) , 4/(-24) (iv) -2/3 , 2/(-3) , 4/(-6) , 6/(-9)

Class 7 Maths NCERT Solutions Chapter 9 Exercise 9.1 Question 2

Summary:

Four more rational numbers in each of the following patterns: (i) -3/5, -6/5, -9/5, -12/5 (ii) -1/4, -2/8, -3/12 (iii) -1/6 , 2/(-12) , 3/(-18) , 4/(-24) (iv) -2/3 , 2/(-3) , 4/(-6) , 6/(-9) are as follows (i) The numbers are -15/25 , -18/30 , -21/35 , -24/40.... (ii) The numbers are -4/16 , -5/20 , -6/24 , -7/28... (iii) The numbers are 5/(-30), 6/(-36), 7/(-42), 8/(-48)… (iv) The numbers are 8/(-12), 10/(-15), 12/(-18), 14/(-21)...

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