From 2ca51fa7d1fd9449c7af0b2fe946692bd7bd88b3 Mon Sep 17 00:00:00 2001 From: Stephanie Bryan <121837027+stebryan@users.noreply.github.com> Date: Mon, 13 May 2024 11:30:29 -0700 Subject: [PATCH] Update rulerSigFigs3.pg Added hints --- .../setCH151_Measurement/rulerSigFigs3.pg | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/ProblemLibrary/setCH151_Measurement/rulerSigFigs3.pg b/ProblemLibrary/setCH151_Measurement/rulerSigFigs3.pg index 72edde1..4ab2bdb 100644 --- a/ProblemLibrary/setCH151_Measurement/rulerSigFigs3.pg +++ b/ProblemLibrary/setCH151_Measurement/rulerSigFigs3.pg @@ -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"); @@ -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 @@ -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( $image1, width=>516, height=>225, @@ -104,6 +105,13 @@ END_PGML ############################################################ BEGIN_PGML_HINT +What is the quantity measured by the smallest lines on the ruler in these examples? In other words, how far apart are these markings? + + a. [$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'" ); @]* @@ -129,4 +137,4 @@ END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT();