Proof that the Product of Any Number and Zero is Zero

We continue the series of proofs of the basic theorems in Algebra.  In this post, we use the Axioms of Real Numbers to prove that the product of any number and zero is zero. You may go back the the preceding link to review the axioms stated below. Theorem For any number a, 0a = 0. Proof […]
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The Sum of the First n Positive Integers

According to an anecdote, the math genius Carl Friedrich Gauss, added all the numbers from 1 through 100 when he was at a very young age. The sum of the first positive 100 integers is 5050 and Gauss was able to give this sum in less than a minute. True or not, how can we […]
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