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I. Using Measurements (p. 44 - 57)
CH. 2 - MEASUREMENT I. Using Measurements (p ) C. Johannesson
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A. Accuracy vs. Precision
Accuracy - how close a measurement is to the accepted value Precision - how close a series of measurements are to each other ACCURATE = CORRECT PRECISE = CONSISTENT C. Johannesson
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C. Johannesson
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B. Percent Error your value accepted value
Indicates accuracy of a measurement your value accepted value C. Johannesson
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B. Percent Error % error = ____ %
A student determines the density of a substance to be 1.40 g/mL. Find the % error if the accepted value of the density is 1.36 g/mL. % error = ____ % C. Johannesson
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C. Significant Figures Indicate precision of a measurement.
Recording Sig Figs Sig figs in a measurement include the known digits plus a final estimated digit 2.35 cm C. Johannesson
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C. Significant Figures Counting Sig Figs (Table 2-5, p.47)
Count all numbers EXCEPT: Leading zeros Trailing zeros without a decimal point -- 2,500 C. Johannesson
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Counting Sig Fig Examples
C. Significant Figures Counting Sig Fig Examples sig figs sig figs 3. 5,280 3. 5,280 sig figs sig figs C. Johannesson
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C. Significant Figures (13.91g/cm3)(23.3cm3) = 324.103g
Calculating with Sig Figs Multiply/Divide - The # with the fewest sig figs determines the # of sig figs in the answer. (13.91g/cm3)(23.3cm3) = g C. Johannesson
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C. Significant Figures 224 g + 130 g 354 g 224 g + 130 g 354 g 3.75 mL
Calculating with Sig Figs (con’t) Add/Subtract - The # with the lowest decimal value determines the place of the last sig fig in the answer. 224 g + 130 g 354 g 224 g + 130 g 354 g 3.75 mL mL 7.85 mL 3.75 mL mL 7.85 mL ___ mL ___ g C. Johannesson
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C. Significant Figures Calculating with Sig Figs (con’t)
Exact Numbers do not limit the # of sig figs in the answer. Counting numbers: 12 students Exact conversions: 1 m = 100 cm “1” in any conversion: 1 in = 2.54 cm C. Johannesson
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C. Significant Figures Practice Problems = 2.390625 g/mL 6. 18.9 g
C. Johannesson
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D. Scientific Notation 65,000 kg 6.5 × 104 kg
Converting into Sci. Notation: Move decimal until there’s 1 digit to its left. Places moved = exponent. Large # (>1) positive exponent Small # (<1) negative exponent Only include sig figs. C. Johannesson
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D. Scientific Notation Practice Problems 7. 2,400,000 g 8. 0.00256 kg
10-5 km 104 mm C. Johannesson
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D. Scientific Notation (5.44 × 107 g) ÷ (8.1 × 104 mol) =
Calculating with Sci. Notation (5.44 × 107 g) ÷ (8.1 × 104 mol) = Type on your calculator: EXP EE EXP EE ENTER EXE 5.44 7 8.1 ÷ 4 C. Johannesson
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E. Proportions Inverse Proportion Direct Proportion y x y x
C. Johannesson
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