Question

State the number in scientific notation and write the number of significant figures in each of the following numbers. Explain your answer. 1. a. 37.60 b. 0.0130 c. 13000 d. 1.2300 Perform the indicated operations to the correct number of significant figures using the rules for significant figures 2. a. 37.60 x 1.23 b. 6.7/8.975- c. 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. し3 し4 SD u Ll Student L Student l 11.47 17 11.4711 11.4722-4715 | Student 311.4719 11.4723 11.4705 4719 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.

Answer 1

1.

Scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. To write in scientific notation, follow the form (Nx10^a)

where N is a number between 1 and 10, but not 10 itself, and a is an integer (positive or negative number).

37:60드 3.760x10 4- Scienhihc h c- Scient 千 0 Scientific res