(a) Read about the Babylonian number system and write a short description, including the symbols for the numbers 1 to 10 and the multiples of 10 from 20 to 50.
(b) Read about the Babylonian tablet called Plimpton 322 and write a brief report, including its approximate date of origin.
(c) The second and third columns of Plimpton 322 give pairs of integers (a, c) having the property that c2 – a2 is a perfect square. Convert some of these pairs from Babylonian numbers to decimal numbers and compute the value of b so that (a, b, c) is a Pythagorean triple.
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