Home
Class 7
MATHS
Write four more rational numbers in each...

Write four more rational numbers in each of the following patterns : (i) `(-3)/5 , (-6)/10 , (-9)/15 , (-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,.......`

Text Solution

AI Generated Solution

To solve the question, we need to identify the patterns in each sequence of rational numbers and then generate four additional rational numbers for each pattern. ### (i) Pattern: `(-3)/5 , (-6)/10 , (-9)/15 , (-12)/20,.....` 1. **Identify the Pattern**: - The numerators are: -3, -6, -9, -12 (which are -3 multiplied by 1, 2, 3, 4). - The denominators are: 5, 10, 15, 20 (which are 5 multiplied by 1, 2, 3, 4). - The pattern can be expressed as: \((-3) \times n / (5 \times n)\) where \(n\) is the position in the sequence (1, 2, 3, 4,...). ...
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    NCERT ENGLISH|Exercise EXERCISE 9.2|4 Videos

  • RATIONAL NUMBERS

    NCERT ENGLISH|Exercise EXERCISE 9.2|4 Videos

  • PERIMETER AND AREA

    NCERT ENGLISH|Exercise EXERCISE 11.2|8 Videos

  • SIMPLE EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 4.4|3 Videos

Similar Questions

Explore conceptually related problems

Write four more numbers in the following pattern (-1)/3, (-2)/6, (-3)/9, (-4)/12

Find four rational numbers equivalent to each of the following: (i) 3/10 , (ii) -5/9 , (iii) 6/(-13) , (iv) 9, (v) -1

Write the following rational numbers in ascending order: (i) (-3)/5, (-2)/5, (-1)/5 (ii) (-1)/3, (-2)/9, (-4)/3 (iii) (-3)/7, (-3)/2, (-3)/4

Find which of the following are in proportions (i) 18, 16, 6 , 12 (ii) 6,2,4,3

Arrange the following rational numbers in ascending order: (i)3/5,(-17)/(-30),8/(-15),(-7)/(10) (ii) (-4)/9,5/(-12),7/(-18),2/(-3)

Which of the two rational numbers is greater in each of the following pairs? (i) 3/-7 or 1/7 , (ii) 11/(-18) or -5/18 , (iii) 7/10 or -9/10 (iv) 0 or -3/4 , (v) 1/12 or 0, (vi) 18/(-19) or 0 (vii) 7/8 or 11/16 , (viii) 11/-12 or -10/11 , (ix) -13/5 or -4 (x) 17/(-6) or -13/4 , (xi) 7/(-9) or -5/8 , (xii) -3/(-8) or 5/9

Draw the graph of each of the following : (i)(x)/(3)+(y)/(5)=1 , (ii) (2x+6)/(5)=y-1 , (iii) 3x+4y=12 , (iv)3x-y=2

Evaluate: (i) 5/6-7/8 , (ii) 5/12 -17/18 , (iii) 11/15 - 13/20 , (iv) -5/9 - (-2/3) , (v) 6/11 -(-3/4) , (vi) -2/3 -3/4

The rational number equal to 2/(-3) is (a)(17)/(-18) (b) (-6)/9 (c)(-8)/(-12) (d) 3/(-2)

Find the slopes of the lines passing through the following points : (i) (1,5) and (3,2) (ii) (-4,3) and (-6,3) (iii) (1,3) and (1,4) (iv) (2,-1) and (3,2)