Sometimes we withdraw more cash from the bank than is in our bank account. We then use the cash for shopping. The money given to the shopkeepers is real. It now belongs to the shopkeepers. We do not have any negative money, the shopkeeper does not have any negative money and the bank does not have any negative money but wants real money back, with a bit extra for their troubles. So where is the negative money? There is no negative money because negative numbers are not real.
I struggled with the square root of -1 at school. Not finding the square root was frustrating because I rather liked square roots. The teacher told me that we call the square root of -1 ‘i’ and it is a complex or imaginary number. During lockdown, I thought about this. It is not fair to the square root function. Why should you be surprised that you get an imaginary number from a function when the input is imaginary? Yes, I believe that negative numbers are imaginary to start with and I am not sure that they are worth the trouble they cause.
In this blog, I will explore the case for negative numbers by looking at them from many perspectives, including the natural world, history, education, accounting, physics, quantum computing and tennis. The blog will question whether negative numbers are fit for purpose.
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