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Chapter 4. Measurement. §4.1 – Accuracy (Significant Digits). Numbers Exact (counting) Approximate (all measurements) Measurements and rounding Error Need for significant digits Measurement handout Examples. § 4.2 – Precision and Greatest Possible Error.
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Chapter 4 Measurement
§4.1 – Accuracy (Significant Digits) • Numbers • Exact (counting) • Approximate (all measurements) • Measurements and rounding • Error • Need for significant digits • Measurement handout • Examples
§4.2– Precision and Greatest Possible Error • Precision – (from p. 152) – the precision of a measurement means the smallest unit with which the measurement is made; that is, the position of the last significant digit • Figure 4.4 (p. 153) • Greatest possible error – (from p. 154) – the greatest possible error of a measurement is equal to one-half its precision • Figure 4.5 (p. 153) • Problems 4.2 #5, 6, 13
§4.3 – Vernier Calipers • Uses (Figures p. 156) • Metric measurements • Example 1 (p. 157) • 4.3A problems #2, 4 (p. 158) • English (U.S.) measurements • Example 4 (p. 160) • Problems 4.3B #2, 4 (p. 161)
§4.4 – Micrometer Caliper • Metric measurements • Example 2 (p. 164) • 4.4A problems #2, 4 (p. 164) • English (U.S.) measurements • Example 4 (p. 166) • Problems 4.4B #2, 4 (p. 167)
§4.5 thru 4.6 – Arithmetic with measurements • Measurement document – adding and subtracting • Problems 4.5 #26, 52 (p. 172) • Measurement document – multiplying and dividing • Problems 4.6 #20, 32 (p. 175)
§4.7 – Relative Error and Percent of Error • Greatest possible error – ½ the precision • Percent of error – relative error expressed as a percent • Problems 4.7 #4, 18, 22 (p. 178) • Tolerance – acceptable amount that a part or component may vary from a given size • Discuss example 4 p. 178 • Graded Activity #5 – do #24 together first