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Accuracy refers to how close a measurement is to the true or accepted value, while precision refers to the reproducibility or agreement of repeated measurements. Significant figures refer to the meaningful digits in a measurement and help determine the precision of a calculation or measurement. Scientific notation is a way to write numbers in a standardized form using exponents to simplify very large or small numbers.
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5 measurement-presentation
- 2. ACCURACY * the condition or quality of being true, correct, or exact; freedom from error or defect; precision or exactness; correctness. • Chemistry, Physics. the extent to which a given measurement agrees with the standard value for that measurement. * Mathematics. the degree of correctness of a quantity, expression,
- 3. PRECISION Mathematics. the degree to which the correctness of a quantity is expressed Chemistry, Physics. the extent to which a given set of measurements of the same sample agree with their mean.
- 5. Accuracy refers to the closeness of a measured value to a standard or known value. Example: if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise. Precision is independent of accuracy. You can be very precise but inaccurate.
- 7. WHY?
- 10. The significant figures of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except: All leading zeros; Trailing zeros when they are merely placeholders to indicate the scale of the number.
- 12. EXAMPLES
- 13. Significant Figures Indicate how many significant figures there are in each of the following measured values. 1. 246.32 7. 1.008 2. 107.854 8. 14.600 3. 100.3 9. 0.0001 4. 0.678 10. 700000 5. 0.00340 11. 1.0000 6. 350.670 12. 320001
- 15. Calculate the answers to the appropriate number of significant figures. 32.567 246.24 +135.0 - 238.278 +1.4567 + 98.3__ 658.0 524.002 + 23.5478 - 741.3 + 1345.29 1. 2. 3. 4.
- 17. • also referred to as scientific form, standard form or standard index form) Scientific notation • is a way of expressing numbers that are too big or too small to be conveniently written in decimal form Standard Scientific Notation m × 10n
- 18. Decimal notation Scientific notation 1.) 2 ____________________ 2.) 300 ____________________ 3.) 4,321.768 ____________________ 4.) −53,000 ____________________ 5.) 6,720,000,000 ____________________ 6.) 0.2 ____________________ 7.) 0.000 000 007 51 ____________________
- 19. END
Editor's Notes
- In the classical definition, which is standard throughout the physical sciences, measurement is the determination or estimation of ratios of quantities. Quantity and measurement are mutually defined: quantitative attributes are those possible to measure, at least in principle.
- Conventions to address the issue:Vinculum, overbar