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Accuracy, Precision, Significant Figures

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Presentation on theme: "Accuracy, Precision, Significant Figures"— Presentation transcript:

1 Accuracy, Precision, Significant Figures
General Physics

2 Accuracy The extent to which a measured value agrees with a standard value

3 Parallax Apparent shift in position when viewed at an angle
Ex. Reading graduated cylinder above or below the water line Affects accuracy

4 Precision The degree of exactness of a measurement
High precision if all numbers are close in value Ex cm, 18.3 cm, cm

5 Accurate, Precise, Both, or Neither

6 Accurate, Precise, Both, Neither

7 Accurate, Precise, Both, Neither

8 Precision and Significant Digits
The last digit of a measurement is an estimate, but is still significant

9 Precision of an Instrument
Reflects the number of sig. digits in a reading All measurements made with the same instrument have same precision

10 Precision of an Instrument
Reading is btwn. 5.3 and 5.4 cm. What is the precision of this ruler? Hundredths place

11 Significant Figures Used to report all precisely known numbers plus one estimated digit

12 Sig. Fig. Rules Every nonzero digit is significant
Ex. 24.7, 237 (3 sig. figs.) Zeros between nonzeros are significant Ex. 7003, (4 sig. figs)

13 Rules of Sig. Figs. Zeros appearing in front of nonzero digits are not significant -act as placeholders, show magnitude Ex , 0.34 (2 sig. figs.)

14 Rules of Sig. Figs Zeros at the end of a number and to the right of a decimal point are significant Ex , (4 sig. figs.)

15 Rules of Sig. Figs. Zeros at the end of the number without a decimal point aren’t significant Ex. 300 (1 sig. fig.), 27,300 (3 sig. figs.)

16 Sig. Fig. Shortcut 23.50 23,400

17 Multiplication and Division with Sig. Figs.
Your answer can’t have more sig. figs. than the number in the calculation with the least amount of sig. figs. Ex. Finding Area Length = m Width = m Answer = 2135 m2, not m2

18 Addition and Subtraction with Sig. Figs.
Answers can’t have more numbers to the right of the decimal point than the number with the least amount of numbers to the right of the decimal point Ex = 45.1 Ex = 1600


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