query 11

course mth 151

N?????x????????assignment #011

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Liberal Arts Mathematics I

06-21-2006

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08:34:14

Query 1.4.24 1 to any power is what?

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08:34:19

** The meaning is 1^2, 1^3, 1^4. We take a power of the base.

The result is always 1. **

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08:35:15

Query 1.4.30 sqr of neg gives what?

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an error because it is a non real answer

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08:35:27

** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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08:36:50

Query 1.4.42 drawer has 18 compartments; how many drawers to hold 204 tapes?

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12 drawers

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08:37:06

** 204 / 18 = 11 with remainder 6. If we had 11 drawers they would hold all but 6 of the tapes.

The leftover tapes also have to go into a drawer, so we need a 12th drawer. **

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Once more your answers were brief, but you packed some good insight into some of them. I believe you're in good shape here. Let me know if you have questions.