L28_Mon_Mar_29

# L28_Mon_Mar_29 - MAE3811Sp 2010 Mahoney1 Divisibility Test...

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1 MAE3811–Sp. 2010 Mahoney–1 Divisibility Test for 3 and 9 , part 1 Is 333 divisble by 3? Let’s check the old fashioned way. Is 333 divisble by 9? Again, Let’s check the old fashioned way. MAE3811–Sp. 2010 Mahoney–2 Divisibility Test for 3 and 9 , part 2 Observe that… ….Further observe that…. 10 1 = 10 = 10 2 = 100 = 10 3 = 1000 = 10 4 = 10000 = In general, 10 n =

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2 MAE3811–Sp. 2010 Mahoney–3 Divisibility Test for 3 and 9 , part 1 reprise Here is a weird mathematical way to show 333 is divisible 3 and 9 MAE3811–Sp. 2010 Mahoney–4 Divisibility Test for 3 and 9 , part 3 This can work on any number though. For example, 7245 is divisible 3 and 9.
3 MAE3811–Sp. 2010 Mahoney–5 Divisibility Test for 3 and 9 , part 2 Theorem: An integer is divisible by 3 or 9 respectively if, and only if, the sum of its digits is divisible by 3 or 9 respectively. Proof: MAE3811–Sp. 2010 Mahoney–6 Make up your own example: Recursion There are many definitions of recursion in mathematics. One of them is the

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L28_Mon_Mar_29 - MAE3811Sp 2010 Mahoney1 Divisibility Test...

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