Advertisements
Advertisements
Question
Arrange the given rational numbers in ascending order:
`4/-9, (-5)/12 "and" 2/-3 `
Sum
Advertisements
Solution
`4/-9, (-5)/12 "and" 2/-3 `
`= (-4)/9, (-5)/12 "and" (-2)/3 ` `
`= (-4 xx 4)/(9 xx 4), (-5 xx 3)/(12 xx 3) "and" (-2 xx 12)/(3 xx 12)`
(∵ LCM of 9, 12 and 3 = 36)
`= (-16)/36 , (-15)/36, (-24)/36`
Since, -24 < -16 < -15
`therefore (-24)/36 < (-16)/36 < (-15)/36`
`=> 2/-3 < (4)/-9 < (- 5)/12`
shaalaa.com
Concept for Problem Solving Using Operations on Rational Numbers
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find three rational numbers equivalent to `8/-15`
Find x, such that: `3/7 = "x"/-35`
Add: `(-7)/25 "and" 9/-25`
Subtract: `(- 8)/15 "from" 0`
Evaluate: `(5/-27) xx ((-9)/20)`
Evaluate: `(7/8 xx 8/7) + ((-5)/9) xx (6/-25)`
Evaluate: `((-4)/5 xx 3/2) + (9/-5 xx 10/3) - ((-3)/2 xx (-1)/4)`
Divide: `35 "by" (- 7)/9`
Evaluate: `3 5/12 - 1 2/3`
Evaluate: `- 5/7 - (- 3/8)`
