Measurement and Expression of Experimental Data

Round the following to three significant figures $($put in scientific notation where necessary$)$:

a$.231,431$

b$.0\mathrm{.}00389$

c$.0\mathrm{.}000080320$

d$.3928$

e$.44\mathrm{.}522$

Perform the following mathematical operations:

a$.(6\mathrm{.}49\frac{{10}^5}{2})-45\mathrm{.}38=$

b$.5\mathrm{.}32{10}^{-15}2\mathrm{.}447{10}^{16}=$

c$.(3\mathrm{.}15{10}^{-1}-9\mathrm{.}7{10}^{-3})[\frac{4\mathrm{.}7{10}^{-2}}{2\mathrm{.}33{10}^{-3}}]=$

d$.1\mathrm{.}62{10}^{-3}+8\mathrm{.}1{10}^{-4}=$

e$.\frac{0\mathrm{.}45+167\mathrm{.}6}{1\mathrm{.}6}{10}^{-2}=$

Express the following using scientific notation:

a$.$ The Bohr radius: $0\mathrm{.}000000000052917720859m$

b$.$ The speed of light, $299,792,458\frac{m}{s}$

c$.$ Charge of a proton, $0\mathrm{.}0000000000000000001602176487C$

d$.$ Rydberg constant, $10,973,731m^{-1}$

Calculate the following and round to the proper number of significant figures:

a$.$ Antilog $0\mathrm{.}485=$

b$.Ln60=$

c$.e^{-1\mathrm{.}41}=$

d$.log3\mathrm{.}975{10}^{-2}=$

e$.$ Antilog $6\mathrm{.}86=$

f$.log8\mathrm{.}74=$

Calculate the average and standard deviation for the following set of calibration data: $3\mathrm{.}8842,$

$3\mathrm{.}8611,3\mathrm{.}8263,3\mathrm{.}8191,3\mathrm{.}8945,3\mathrm{.}8916,3\mathrm{.}8511,3\mathrm{.}8651$