2. Perform the indicated operations to the correct number of significant figures

Question

2. Perform the indicated operations to the correct number of significant figures using the rules for significant figures a. b. c. 37.60 x 1.23- 6.7 / 8.975= 3.765+1.2+37.21- To get credit, specify the rule you used to round your results. 3. Three students make measurements (in m) of the length of a rod using a meter stick. Each student's measurements are tabulated in the table below. Using your calculator in statistic mode calculate the mean L, standard deviation S and uncertainty u of the measurements. L3 4 Student L Student1 14717 Student 2 1.4753 Student 3 1.4719 SD 17 1.4711 1.4759 1.4723 1.4722 1.4715 1.4756 1.4749 1.4705 14719 Note that the actual length of the rod is determined by a laser measurement technique to be 1.4715 m (this should be considered the standard value). a) State how one determines the accuracy of a measurement. Apply your idea to the measurements of the three students above and state which student has the most accurate measurement.

Explanation / Answer

When quantities are multiplied or divided, the number of significant figures in the answer is equal to the number of significant figures in the quantity with the smallest number of significant figures. So in a part, there will be 3 significant digits and b part there will be 2 significant digits.

for c part

When quantities are added or subtracted, the number of decimal places in the answer is equal to the number of decimal places in the quantity with the smallest number of decimal places.

so 1,2 has just 1 number after the decimal , so will take just one number after the decimal, so our answer will be 42.175 but we will round of it to 47.2(as 7>5) so our answer will be 3 significant digits.

Student 2 because his answers are more precise than others.

Best fit line as an approximation to get the right answer.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line

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