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Activity 2 Rounding Rules 1) Experimental uncertainties should be rounded up and reported to 1 significant figures. (2 sig figs if the leading digit is 1) 2) The measured value is reported so that the last digit has the same position value as the position value of the error Rules for Significant Figures 1) All nonzero digits are significant and zeroes between nonzero digits are significant 2) Leading zeros to the left of the first nonzero digits are not significant; such zeroes merely indicate the position of the decimal point 3) Trailing zeroes that are also to the right of a decimal point in a number are significant 4) When a number ends in zeroes that are not to the right of a decimal point, the zeroes are not necessarily significant. (Use scientific notation to avoid any ambiguities) Re-express the following quantities in their clearest forms with the correct number of significant figures for both the best value and the uncertainty. If something doesn't seem right, make a comment. g = 9.82 ± 0.02835 m/s² t = 3,134,675 ± 30,581 s x=3.1234 x 105 ± 4.2 × 10² m v=337.452 ± 20 m/s v = 1.310 ± 2.7 m/s a = 6.7 ± 0.00056 m/s²
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Transcribed Image Text:Activity 2 Rounding Rules 1) Experimental uncertainties should be rounded up and reported to 1 significant figures. (2 sig figs if the leading digit is 1) 2) The measured value is reported so that the last digit has the same position value as the position value of the error Rules for Significant Figures 1) All nonzero digits are significant and zeroes between nonzero digits are significant 2) Leading zeros to the left of the first nonzero digits are not significant; such zeroes merely indicate the position of the decimal point 3) Trailing zeroes that are also to the right of a decimal point in a number are significant 4) When a number ends in zeroes that are not to the right of a decimal point, the zeroes are not necessarily significant. (Use scientific notation to avoid any ambiguities) Re-express the following quantities in their clearest forms with the correct number of significant figures for both the best value and the uncertainty. If something doesn't seem right, make a comment. g = 9.82 ± 0.02835 m/s² t = 3,134,675 ± 30,581 s x=3.1234 x 105 ± 4.2 × 10² m v=337.452 ± 20 m/s v = 1.310 ± 2.7 m/s a = 6.7 ± 0.00056 m/s²
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