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Posted on Sep 06, 2011
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What is the algebraically? The number of days in w weeks.

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Ginko

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  • Posted on Sep 06, 2011
Ginko
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Hi.

It depends on the context and on the algebraic representation that you want to use. Studying "mathematical thinking" I learned that you can model an infinity of mathematical representations around any real-life problem. The same is valid if you restrict the possible mathematical fields to Algebra.

I am not sure if "w weeks" was a mistake or if w is the number of weeks.

If w is the number of weeks the most immediate algebraic representation is 7w. This can be represented in decimal system or using a different base (for most applications base 7).

The most common representation of the number of days in a single week is the number 7. Representing the number of days with 7 you will be for example using a base ten system to represent the weekdays within a larger set of number (e.g. Natural numbers, Positive Integers, or the 365 days of the year.

A common exercise is representing the number of week days while doing base n or module n maths. If required in this context the answer will be a representation in base 7. In that case the number of days in a week can be represented using 7 numbers (instead of ten).The algebraic representation will be the numbers: 0,1,2,3,4,5,6 . Such representation is often written as 7n or called "module 7" representation (probably 7w if the spare w in your question is not a mistake).

There are other representation. The solution to the exercise depends on the context in which the exercise has been proposed. Making a couple of assumptions what you are looking for is probably 7w.

Regards.

Ginko

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