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Published byArabella Dawson Modified over 9 years ago
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MEASUREMENT LIMITATIONS
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1) ACCURACY – HOW CLOSE THE MEASUREMENT IS TO AN ACTUAL OR ACCEPTED VALUE – DEPENDS ON YOU – GETS BETTER WITH PRACTICE
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% ERROR ALLOWS YOU TO EVALUATE THE ACCURACY OF YOUR DATA EQUATION:
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2) PRECISION – AGREEMENT OF A SET OF VALUES – REPRODUCIBILITY OF DATA – MEASUREMENTS CAN ONLY BE AS PRECISE AS YOUR MEASURING TOOL (BASED ON HOW GRADUATED IT IS)
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1.2. 3.4.
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SIGNIFICANT FIGURES (DIGITS) INDICATES PRECISION OF AN INSTRUMENT DEFINITION: A LL CERTAIN VALUES (FROM GRADUATIONS ON TOOL) AND ONE ESTIMATED OR UNCERTAIN VALUE (SPACE BETWEEN LAST GRADUATIONS)
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READING A METER STICK FOR PRECISION SEE SIDE BOARD. COPY DOWN INFORMATION AS TEACHER EXPLAINS.
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RULES OF SIGNIFICANT DIGITS 1)ALL NONZERO DIGITS ARE SIGNIFICANT – EX: 275.68 g = 5 SIG FIGS 2) ZEROES BETWEEN 2 NONZERO DIGITS ARE SIGNIFICANT – EX: 1205 mL = 4 SIG FIGS
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3) ALL ZEROES AFTER THE LAST NON-ZERO DIGIT IN A NUMBER WITH AN UNDERSTOOD DECIMAL ARE NOT SIGNIFICANT. (THEY ARE PLACEHOLDERS) –E–EX: 104 000 m = 3 SIG FIGS *THE NUMBER HAS BEEN ROUNDED
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IF YOU WANT TO MAKE ZEROES SIGNIFICANT IN A NUMBER WITH AN UNDERSTOOD DECIMAL, PLACE A LINE OVER THE LAST ZERO THAT IS SIGNIFICANT. – EX: 104 000 m = 5 SIG FIGS
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4) ALL ZEROES IN FRONT OF THE 1 ST NON-ZERO DIGIT IN A NUMBER LESS THAN 1 ARE NOT SIGNIFICANT. (THEY ARE PLACEHOLDERS) –E–EX: 0.00589 g = 3 SIG. FIGS *THINK OF THESE NUMBERS AS FRACTIONS; ONLY SIG FIGS GO IN THE NUMERATOR
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5) ALL ZEROES AFTER A DECIMAL AND AFTER THE 1 ST NON-ZERO DIGIT ARE SIGNIFICANT – EX: 0.07050 L = 4 SIG FIGS 30.00 mg = 4 SIG FIGS *BE CAREFUL BECAUSE YOUR CALCULATOR REMOVES THE ZEROES AT THE END OF NUMBERS
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6) ITEM COUNTS HAVE UNLIMITED SIG. FIGS. – EX: 10 APPLES → UNLIMITED 60 s = 1 min → UNLIMITED
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PRACTICE PROBLEMS COPY AND ANSWER IN YOUR NOTEBOOK. PUT A BOX AROUND THE SIG FIGS. – 1. 5600 m2. 0.0078 L – 3. 30024 g4. 780.0 ng – 5. 34.078 mL 6. 0.002008 km – 7. 1000 PIES8. 50.091 dL
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