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suggestions from PR#2358
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Alex-Jordan committed Mar 18, 2024
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34 changes: 17 additions & 17 deletions assets/pg/Student_Orientation/decimals.pg
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Expand Up @@ -15,37 +15,37 @@ BEGIN_PGML
## Decimal Approximations

Sometimes, your instructor will require you to enter an answer _exactly_. In that case your only option is to enter
[:1/3:] as a fraction: [`\frac13={}`][_]{Context("LimitedFraction"), '1/3'}{4} (Try [|1/3|]*, [|0.33|]*, [|0.3333|]*,
[|2/6|]*, etc.)
[:1/3:] as a fraction: [`\frac13={}`][_]{Context("LimitedFraction"), Fraction(1/3)}{4} (Try [|1/3|]*, [|0.33|]*,
[|0.333|]*, [|0.3333|]*, [|2/6|]*, etc.)

Sometimes, you will be allowed to use decimal _approximations_ to the real answer. So for instance, in the next answer
blank we can get away with typing [|0.3333|]* even though that is slightly different from [:1/3:].
[`\frac13={}`][_]{Context("Numeric"),'1/3'}{4} (Try [|1/3|]*, [|0.33|]*, [|0.3333|]*, [|2/6|]*, etc.)
[`\frac13={}`][_]{Context("Numeric"), Real(1/3)}{4} (Try [|0.33|]*, [|0.333|]*, [|0.3333|]*.) Why is [|0.3333|]*
accepted and [|0.33|]* is not? _If_ a decimal approximation is acceptable at all, then you need to use enough
significant digits so your answer is "close enough" to the actual correct answer (which was [:1/3:] in this case). In
general, using _four_ significant digits in your decimals will be enough. You will often be able to get away with fewer,
but using four is recommended.

Why is [|0.3333|]* accepted and [|0.33|]* is not? _If_ a decimal approximation is acceptable at all, then you need to
use enough significant digits so your answer is "close enough" to the actual correct answer (which was [:1/3:] in this
case). In general, using _four_ significant digits in your decimals will be enough. You will often be able to get away
with fewer, but using four is recommended.
Use a calculator to find decimal approximations for these values. At first, round your calculator's output to just two
significant digits. Then move up to three. If that is still not enough, move up to four.

Take out a calculator and enter decimal approximations for these values. At first, rounding your calculator's output to
just two significant digits. Then move up to three. If that is still not enough, move up to four.
[`\sqrt{110} =`] [_]{sqrt(110)} (Try [|10|]*, [|10.4|]*, [|10.5|]*, [|10.48|]*, [|10.49|]*, etc.)

[`\sqrt{110} =10.4880885\ldots=`] [_]{sqrt(110)} (Try [|10|]*, [|10.4|]*, [|10.5|]*, [|10.48|]*, [|10.49|]*, etc.)

[`0.002038 =`] [_]{0.002038}{4} (Try [|0.0020|]*, [|0.00203|]*, [|0.00204|]*, [|0.002038|]*, etc.)
[`\frac{1}{491} =`] [_]{1/491}{4} (Try [|0.0020|]*, [|0.00203|]*, [|0.00204|]*,
[|0.002036|]*, etc.)

[`20380.2 =`] [_]{20380.2}{4} (Try [|20000|]*, [|20300|]*, [|20400|]*, [|20380|]*, etc.)

With [`0.002038`], students sometimes feel they should be able to get away with [`0.002`], since that is only off by a
tiny amount of [`0.000038`]. However, percentage-wise this would be off by over [`1.8%`], which is considered too much.
With [`\frac{1}{491}`], students sometimes feel they should be able to get away with [`0.002`], since that is only off
by a tiny amount. However, percentage-wise this would be off by [`1.8%`], which is generally considered too much.

With [`20380.2`], students mistakenly believe they must enter the entire number. While that's fine, it's also OK to
round to four significant digits. So you may simply enter [`20380`].
round to four significant digits. So you may simply enter [`20380`] for this answer.

Decimal tolerance settings may vary from problem to problem; the above is only describing default decimal tolerance.
Decimal tolerance settings may vary from problem to problem and the above is only describing default decimal tolerance.
For example, if a problem has a monetary answer, it might expect you to answer correctly all the way to the hundredths
place, even if it is a large amount in thousands of dollars. Watch out for any specific instructions in each problem
that tell you how precise you shoudl be.
that tell you how precise you should be.


[@ MODES(HTML => 'When you are ready, click "Next Problem".', TeX => '') @]
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4 changes: 2 additions & 2 deletions assets/pg/Student_Orientation/emailInstructor.pg
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Expand Up @@ -28,8 +28,8 @@ back with good help/hints.

This answer blank is expecting a certain mystery answer: [_]{Real(112358)->cmp(tolType=>'absolute',tolerance=>0.1)}{4}.
The only way to get the answer is to use the "[$button_name]" button and ask for the answer to this Orientation Problem
[$envir{probNum}]. The instructor will reply to your email as soon as they are able to. (Instructors: you can
Check/Submit an answer, then view the feedback to reveal the expected correct answer.)
[$envir{probNum}]. The instructor will reply to your email as soon as they are able to. [@ if ($isInstructor)
{'(Instructors: you can Check/Submit an answer, then view the feedback to reveal the expected correct answer.)'} @]

A reply will come in the form of an email. You must check your official email account to receive the reply. Then return
to this problem to submit your answer.
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4 changes: 3 additions & 1 deletion assets/pg/Student_Orientation/miscellaneous.pg
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Expand Up @@ -30,7 +30,9 @@ correct while [`\pi R^2`] is not.
you begin the problems set. It may give you important hints.
* Repeated guessing is not helpful. If you have gotten a problem incorrect several times, you should ask for help.
That's what your instructor, TAs, and tutors are here for.
* Make sure you read the feedback messages that WeBWorK gives you.
* Make sure you read the feedback messages that WeBWorK gives you. The feedback messages might sometimes be "technical"
(either mathematically or with respect to WeBWorK syntax) but they often give you what you need to make some progress.
If you don't understand a feedback message, ask your instructor about it.
* For decimal answers, get in the habit of using four significant digits.
* If you want to enter [`\pi`], you could type [|pi|]*, use the palette tool, or directly enter the [`\pi`] character if
you have a way to do that.
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