L16_Mon_Feb_22

# L16_Mon_Feb_22 - MAE3811Sp 2010 Mahoney1 So far Weve seen...

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1 MAE3811–Sp. 2010 Mahoney–1 So far…. We’ve seen how multiplication can be thought of as repeated additions …or as the area of a rectangular array Today we’ll discuss distribution and division… MAE3811–Sp. 2010 Mahoney–2 Distribution The distribution property over addition states… For any whole numbers a, b, and c…

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2 MAE3811–Sp. 2010 Mahoney–3 Distribution The distribution property over subtraction states… For any whole numbers a, b, and c, with b > c … There are some issues with distribution over subtraction that are fixed by the integer system. MAE3811–Sp. 2010 Mahoney–4 Double Distribution / FOILing Use the model of distribution over addition to derive the FOIL formula: (x+y)(z+w) = xz+xw+yz+yw Why is it called FOIL?
3 MAE3811–Sp. 2010 Mahoney–5 Division As we saw previously with addition, multiplication does not possess all the group properties. There are no inverses. So again we’ll invent an operation which sort of accomplishes the goal. Formally, for any whole numbers

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L16_Mon_Feb_22 - MAE3811Sp 2010 Mahoney1 So far Weve seen...

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