Matter And Measurement © 2009, Prentice-Hall, Inc.
{"Image DocumentName": "What difference exists between the measured values 4.0 g and 4.00 g?", "Image ImageDescription": "Sample Exercise 1.5 Relating Significant Figures to the Uncertainty of a Measurement. What difference exists between the measured values 4.0 g and 4.00 g? Solution. Many people would say there is no difference, but a scientist would note the difference in the number of significant figures in the two measurements. The value 4.0 has two significant figures, while 4.00 has three. This difference implies that the first measurement has more uncertainty. Amass of 4.0 g indicates that the uncertainty is in the first decimal place of the measurement. Thus, the mass might be anything between 3.9 and 4.1 g, which we can represent as 4.0 \u00b1 0.1 g. A measurement of 4.00 g implies that the uncertainty is in the second decimal place. Thus, the mass might be anything between 3.99 and 4.01 g, which we can represent as 4.00 \u00b1 0.01 g. Without further information, we cannot be sure whether the difference in uncertainties of the two measurements reflects the precision or accuracy of the measurement. \u00a9 2009, Prentice-Hall, Inc.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}