A Sum of Products Trick

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dc.contributor.author Shannon Daley
dc.date.accessioned 2018-01-23T20:22:06Z
dc.date.available 2018-01-23T20:22:06Z
dc.date.issued 04/11/2015
dc.identifier.uri http://hdl.handle.net/20.500.12088/7581
dc.description dc.description
dc.description.abstract Begin with any positive integer n. Write it as the sum of two smaller positive integers, say a and b. Compute the product ab. Repeat the same step in any order for each of the smaller numbers a and b. Continue this process until the only numbers left are 1s. Add up all the products. Regardless of the order in which the final 1s are obtained, the sum of the products will be the same. This talk will present the mathematics needed to explain why the products are the same and show how the ideas may be extended to other types of products whose sums will again be identical.
dc.description.sponsorship Vincent Ferlini
dc.language.iso en_US
dc.publisher Keene State College
dc.subject Mathematics
dc.title A Sum of Products Trick
dc.type Presentation

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