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L35_Wed_Apr_14_filled

L35_Wed_Apr_14_filled - MAE3811Sp 2010 Mahoney1 Im worried...

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1 MAE3811–Sp. 2010 Mahoney–1 I’m worried I’m not going to sleep for the next three days… So last time we learned about… The set of _____________ numbers or _____________, Where Special notes about positive and negatives: MAE3811–Sp. 2010 Mahoney–2 How did we add and multiply: To Add: To Write as a Mixed Fraction: Use the division algorithm of whole numbers and integers…

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2 MAE3811–Sp. 2010 Mahoney–3 How did we add and multiply: To Multiply: Recall that… Examples: MAE3811–Sp. 2010 Mahoney–4 Define Negative Powers We define a -1 to be that number which satisfies the following equation Observe that in the land of rational numbers that 1 can be written as… And using fraction multiplication we see that… Further it can be seen So all of the following are equal:
3 MAE3811–Sp. 2010 Mahoney–5 Decimals (Briefly) Using this property, fractions can be used to extent our numeration system into the decimal (place holder) system in a very natural way. Observe the following fractions being added together.

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