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Update rulerSigFigs3.pg
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Added hints
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stebryan authored May 13, 2024
1 parent 3ddcd40 commit 2ca51fa
Showing 1 changed file with 11 additions and 3 deletions.
14 changes: 11 additions & 3 deletions ProblemLibrary/setCH151_Measurement/rulerSigFigs3.pg
Original file line number Diff line number Diff line change
Expand Up @@ -56,6 +56,7 @@ $image0 = $rulercm[$a];
$alt0 = $altruler[$a];
$m0 = InexactValue($measurement[$a], 2, { tolerance => 0.2});
$m0uncert = $m0->simpleUncertainty;
$tick0 = $m0uncert*10;

@rulercm2 = ("ruler0.png", "ruler1.png", "ruler2.png", "ruler3.png", "ruler4.png", "ruler5.png", "ruler6.png","ruler7.png","ruler8.png","ruler9.png");

Expand All @@ -70,7 +71,7 @@ $alt1 = $altruler2[$b];
$sf1 = $sigfigs[$b];
$m1 = InexactValue($measurement2[$b], $sf1, { tolerance => 0.03 });
$m1uncert = $m1->simpleUncertainty;

$tick1 = $m1uncert*10;

############################################################
# Body
Expand All @@ -90,7 +91,7 @@ a) [@ image( $image0, width=>516, height=>225,
extra_html_tags=>"alt='$alt0'" )@]*


The magnesium strip above measures [____]{$m0} +/- [___]{$m0uncert} cm.
The magnesium strip above measures [____]{$m0} +/- [___]{$m0uncert} cm.


b) [@ image( $image1, width=>516, height=>225,
Expand All @@ -104,6 +105,13 @@ END_PGML
############################################################
BEGIN_PGML_HINT

What is the quantity measured by the smallest lines on the ruler in these examples? In other words, how far apart are these markings?

a. [$tick0] cm

b. [$tick1] cm

This means that the measurement for these devices should be *one digit more precise* than this. This is called the guess digit and this will define the uncertainty for that measurement.

To review significant figures and measurement, click [@ htmlLink( protect_underbar("https://chem.libretexts.org/Bookshelves/Introductory_Chemistry/Map%3A_Introductory_Chemistry_(Tro)/02%3A_Measurement_and_Problem_Solving/2.03%3A_Significant_Figures_-_Writing_Numbers_to_Reflect_Precision"), protect_underbar("here"), "TARGET='_blank'" ); @]*

Expand All @@ -129,4 +137,4 @@ END_PGML_SOLUTION



ENDDOCUMENT();
ENDDOCUMENT();

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