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if you know the order from least to greatest of 5 negative rational numbers how can you use the information to order the absolute value of those numbers from least greatest

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Consider the ordering

... -2 < -1

Now consider the ordering of their absolute values:

... 1 < 2

_____

Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.

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