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L27_Fri_Mar_26

# L27_Fri_Mar_26 - MAE3811Sp 2010 Mahoney1 Divisibility Test...

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1 MAE3811–Sp. 2010 Mahoney–1 Divisibility Test for 2 (Even Numbers) Theorem: An integer is divisible by 2 if, and only if, its units digit is divisible by 2 that is… Proof: MAE3811–Sp. 2010 Mahoney–2 Divisibility Test for 2, Concrete Example Let’s examine the proof for the divisibility test for 2 with a specific example. Example: Does 2 | 428 ? Example: Does 2 | ______ ? Even Digits: Consequence:

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2 MAE3811–Sp. 2010 Mahoney–3 Divisibility Test for 5 Theorem: An integer is divisible by 5 if, and only if, its units digit is divisible by 5. In which case its units digit is 5 or 0 that is… Proof: MAE3811–Sp. 2010 Mahoney–4 Divisibility Test for 5, Concrete Example Let’s examine the proof for the divisibility test for 5 with a specific example. Example: Does 5 | 775 ? Example: Does 5 | 980 ? Make up your own number that 5 will divide:
3 MAE3811–Sp. 2010 Mahoney–5 Divisibility Test for 10 Theorem: An integer is divisible by 10 if, and only if, its units digit is 0.

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