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Accuracy and Precision of Grades & Significant Figures Practice

This text discusses the accuracy and precision of grades in relation to a student's goal of achieving High Honors. It also provides practice examples on determining significant figures.

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Accuracy and Precision of Grades & Significant Figures Practice

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  1. 10 9 8 7 6 5 4 3 2 1 DN: 9/14 Significant Figures • A student sets the goal of earning High Honors (all A’s) on their first marking period progress report. At the end of the marking period they have the following grades: Chem 83, Hist 87, Math 85, English 82. According to the student’s goal, are the grades accurate? …are they precise? Explain why or why not. • Using your calculator, what is the decimal answer for 1/9? • What is 104,863.725 rounded to the nearest hundredth place? …nearest tenths place? …nearest ones place?

  2. Rules for Determining the # of Sig. Figs • All nonzero numbers 14 has 2 sf 238 has 3 sf • All zeros between numbers 504 has 3 sf 2008 has 4 sf • Zeros at the end of decimals 0.30 has 2 sf 0.0280 has 3 sf 0.045 has 2 sf 3280 has 3 sf 1050 has 3 sf • Placeholder zeros

  3. SIGNIFICANT FIGURES PRACTICE 7 (1 SF) 12 (2 SF) 673 (3 SF) 506 (3 SF) 1.009 (4 SF) 1055 (4 SF) 4.0 (2 SF) 57.50 (4 SF) 0.60 (2 SF) 2130 (3 SF) 0.067 (2 SF) 0.004 (1 SF)

  4. Why are significant figures important? Significant figures are important because they tell us whether or not that number was actually _____________ to that place value. When a number has many significant figures it generally tells us that the equipment will give very _____________ results. If precise equipment is calibrated correctly, then it will give _____________ and ____________ results. Also, when using numbers in a calculation we need to know how many digits are significant so that we end up with a reasonable result. An answer should _________ have more significant figures than the numbers you started with. In other words, an answer from a _______________ should never be more accurate and precise than the original __________. measured precise accurate precise NEVER calculation data

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