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Question

compare the absolute value of the rational numbers in the following pairs:

(a)3/-7, -3/7 (b)-5/7,4/3 (c)-4/5,-3

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Solution

(a)3/-7, -3/7
|3/-7|=3/7
|-3/7|= 3/7
So,|3/-7|=|-3/7|

(b)-5/7,4/3
|-5/7|= 5/7=15/21
|4/3|= 4/3 = 28/21
So, |4/3|>|-5/7|

(c)-4/5,-3
|-4/5|=4/5
|-3|=3=15/5
So, |-3|>|-4/5|

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