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Pre-AlgebraSuperchallenge

Pre-Algebra · Superchallenge problem

For any nonzero integer nn, the value of n∣n∣\dfrac{n}{|n|} is +1+1 or −1-1. Given that a>0a > 0 and b<0b < 0, evaluate a∣a∣+b∣b∣+ab∣ab∣\dfrac{a}{|a|} + \dfrac{b}{|b|} + \dfrac{ab}{|ab|}.

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