L19_Mon_Mar_01_filled

L19_Mon_Mar_01_filled - 4363 3 4361 7 3 MAE3811Sp. 2010...

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1 MAE3811–Sp. 2010 Mahoney–1 That Groovey Division Algorithm I don’t care for your book’s example of the pencil and paper division algorithm… it’s a little to nice. I will emphasize the caveats though… After a few examples we will also see the so called short division algorithm… First a theoretical idea. .. Suppose a ÷ e = b and c ÷ e = d then … Does a similar rule hold for there are remainders? MAE3811–Sp. 2010 Mahoney–2 Division Algorithm Example 1: 4363 ÷ 3 Our modern algorithm is the notational compression of the following method….
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2 MAE3811–Sp. 2010 Mahoney–3 Division Algorithm Example 2: 4361 ÷ 7 Similarly …. MAE3811–Sp. 2010 Mahoney–4 Ever wonder why it was called long division… apparently its because there was a method called short division…. Its cute. One supposed uses it when the calculations can be done in ones head…
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Unformatted text preview: 4363 3 4361 7 3 MAE3811Sp. 2010 Mahoney5 Division Algorithm Example 3: 4361 12 A two digit example . MAE3811Sp. 2010 Mahoney6 Mental Mathematics: These are _______________ or strategies for doing computation work in ones mind/head and not on paper. It includes ______________ of numbers. Why might this be useful? Seriously, share your opinions? Well review some of these and shows the steps on paper [electronically] but the idea, remember, is that you wouldnt do them on paper. They do require a little bit of creativity sometimes and they do not work for every single problem, thats what the __________ and _________ algorithms are for. 4 MAE3811Sp. 2010 Mahoney7 Mental Mathematics Addition Part I: Adding from the left: 56 + 47 Add from the left, Doubles: 47 + 47 Breaking up and Bridging: 56 + 47 Trading Off: 56 + 47 Trading Off: 56 + 19...
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L19_Mon_Mar_01_filled - 4363 3 4361 7 3 MAE3811Sp. 2010...

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