Homework is not collected or graded, but should be worked on seriously every week.

Numbers and Units in Measurements

Record the measurements shown on the following instruments with the correct number of significant figures.

How many significant figures are in the following measurements?

$\backslash$table$[[$Measurement$,$# Significant Figures,Measurement,# Significant Figures$],[42\mathrm{.}301$ ounces,,$8\mathrm{.}91500{10}^3$ meters,$],[0\mathrm{.}000960$ seconds,,$103052\mathrm{.}0$ gallons,$]]$

Which of the following quantities are exact numbers? $0\mathrm{.}50lbs,17$ eggs $300K,\frac{3}{4}$mile How many significant figures are in an exact number?

Write the numbers in the table below in scientific notation.

$\backslash$table$[[$Number$,$Number in Scientific Notation$],[350078000,],[0\mathrm{.}0004321,],[22\mathrm{.}6{10}^{-3},],[0\mathrm{.}00856{10}^7,]]$

Write the following numbers in standard notation $($also called "decimal" notation$).$

$\backslash$table$[[$Number$,$Number in Standard Notation$],[5\mathrm{.}19{10}^3,],[7\mathrm{.}473{10}^{-2},]]$

Perform the following calculations without using a calculator for the exponents. Report your final answer in scientific notation and to the correct number of significant figures.

$\frac{(5\mathrm{.}3{10}^7)}{(6\mathrm{.}1{10}^8)}=$

$\frac{(4\mathrm{.}0{10}^4)(2\mathrm{.}5{10}^{-3})}{(8\mathrm{.}98{10}^{-5})}=$

$(3\mathrm{.}92{10}^2{)}^4=$

$(2\mathrm{.}66{10}^{-7})-(7\mathrm{.}11{10}^{-9})=$