9. Find five rational numbers between - 1 and 1.
Answers
Answered by
1
Step-by-step explanation:
given no.s = 1/1 and -1/1
n= 5 + 1= 6
now, multiply both no.s by 6
1/1 ×6/6 and -1/1×6/6 = 6/6 and -6/6
Hence , rational numbers between -6/6 and 6/6
= -6/6 ,-5/6, -4/6,-3/6, -2/6, -1/6, .......... 6/6
= -1 , -5/6 , -2/3 , -1/2 , -1/3 , -1/6, .......... 1
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Answered by
1
Let x = -1 ; y = 1
y > x ; n = 5
d = y - x / n + 1
= 1 - (-1) / 5 + 1
= 1 + 1/6
= 2/6
= 1/3
1st rational number = x + d
= -1 + 1/3
= -3 + 1/3
= -2/3
2nd rational number = x + 2d
= -1 + 2 × 1/3
= -1 + 2/3
= -3 + 2/3
= -1/3
3rd rational number = x + 3d
= -1 + 3 × 1/3
= -1 + 1
= 0
4th rational number = x + 4d
= -1 + 4 × 1/3
= -1 + 4/3
= -3 + 4/3
= 1/3
5th rational number = x + 5d
= -1 + 5 × 1/3
= -1 + 5/3
= -3 + 5/3
= 2/3
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