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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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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:
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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
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This note was uploaded on 07/22/2011 for the course MAE 3811 taught by Professor Mahoney during the Spring '11 term at University of Florida.
 Spring '11
 Mahoney

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