Question

which of two rational number is greater in each of the following pair 7 -21 -23 5. ​

Answer 1

Answer:

= 7-21 AND -23+5

= -14 AND -20

= -14 > -20

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Answer 2

Solution:-

First, we write each of the given numbers with a positive denominator.

= (7/-9)

= [(7× (-1))/ (-9×-1)]

= (-7/9)

The LCM of the denominators 9 and 8 is 72

∴ (-7/9) = [(-7×8)/ (9×8)] = (-56/72)

and (-5/8) = [(-5×9)/ (8×9)] = (-45/72)

Now, -56 < -45

⇒ (-56/72) < (-45/72)

⇒ (-7/9) < (-5/8)

Hence, (7/-9) < (-5/8)

∴ (-5/8) is greater.