Arrange the following rational numbers in ascending order:
(i)
(ii)
(iii)
(iv)
(i)
![]()
And,
![]()
Since, the denominators of all the numbers are different therefore we will take LCM of the denominators.
LCM of 9, 12, 18 and 3 = 36
![]()
![]()
![]()
![]()
Clearly,
-24 < -16 < -15 < -14
Therefore,
![]()
Hence,
![]()
(ii)
![]()
And,
![]()
Since, the denominators of all the numbers are different therefore we will take LCM of the denominators.
LCM of 4, 12, 16 and 24 = 48
![]()
![]()
![]()
![]()
Clearly,
-36 < -21 < -20 < -18
Therefore,
![]()
Hence,
![]()
(iii)
![]()
Since, the denominators of all the numbers are different therefore we will take LCM of the denominators.
LCM of 5, 10, 15 and 20 = 60
![]()
![]()
![]()
![]()
Clearly,
-44 < -42 < -39 < -36
Therefore,
![]()
Hence,
![]()
(iv)
![]()
Since, the denominators of all the numbers are different therefore we will take LCM of the denominators.
LCM of 7, 14, 28 and 42 = 84
![]()
![]()
![]()
![]()
Clearly,
-54 < -48 < -46 < -39
Therefore,
![]()
Hence,
![]()
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
or
(ii)
or
(iii)
or
or
(v)
or
(vi)
or
(ii)
(iii)
(v)
(vi)
(ii)
(iv)