Which number is smaller in each of the following pairs?
(i) 6, −7
(ii) 0, −1
(iii) −13, −27
(iv) −26, 17
(v) −317, −603
(vi) −777, 7
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Solution
i) -7 < 6
This is because every positive integer is greater than every negative integer. ii) -1 < 0
This is because zero is greater than every negative integer. iii) -27 < -13
Since 27 is greater than 13, -27 is smaller than -13. iv) -26 < 17
This is because every positive integer is greater than every negative integer. v) -603 < -317
Since 603 is greater than 317, -603 is smaller than -317. vi) -777 < 7
This is because every positive integer is greater than every negative integer.