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If you consider only the magnitude of the two numbers (disregarding the signs) then 6 is greater than 3. But when we have signed numbers, we have to imagine the number line. On the negative side of zero, a negative number closer to zero is considered greater than a negative number that is farther from zero. Similarly on the positive side of zero, a positive number closer to zero is considered smaller than a positive number that is farther from zero. I hope that explains it.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

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Q: Why half of negative number is greater than than the number itself for eg half of -6 is -3 which is greater than -6?
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