L15_Fri_Feb_19 - MAE3811Sp. 2010 Mahoney1 So far. We looked...

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1 MAE3811–Sp. 2010 Mahoney–1 So far…. We looked at pencil and paper algorithms for addition, they rely on our numerical system’s place holder properties We’ve discussed the group properties and we’ve looked at two operations on the whole numbers. Addition has every property except inverse. Subtraction kind of fixes this but subtraction is not closed. Today we’ll introduce one more operations on arithmetic that you know well… MAE3811–Sp. 2010 Mahoney–2 Multiplication One very formal definition of multiplication follows: Remember…. Let a and b be whole numbers then Let A and B be subsets of ______ such that n(A) = _____ and n(B) = _____. We define: Example:
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2 MAE3811–Sp. 2010 Mahoney–3 Multiplication Let’s take a closer look at that example. This time lets write one sets as a horizontal bubble with elements lined up horizontally and the other set as a vertical bubble with elements lined up vertically. Now lets write the ordered pairs so that each pair is lined up with its parents in the
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This note was uploaded on 07/22/2011 for the course MAE 3811 taught by Professor Mahoney during the Spring '11 term at University of Florida.

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L15_Fri_Feb_19 - MAE3811Sp. 2010 Mahoney1 So far. We looked...

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