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You mean arithmetic. Your best strategy would be to use the algorithms that already exist. They are already well-established, highly-efficient and bug-free. By all means study them to improve your understanding of how they work (although you should already know how they work), but don't waste any time trying to improve upon them. After all, humans have been performing arithmetic for thousands of years, the only thing that's actually changed in all that time is the notation; the algorithms themselves were already in place long before we ever had computers.

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Q: What strategies are most useful in helping me develop algorithms for adding subtracting multiplying and dividing positive and negative numbers?
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