Question

name & science #: marsha date: determination of microscopic measurement introduction it is often necessary to measure the size of organisms or parts of organisms being observed under the microscope. microscopic measurements are expressed in units in the metric system which is a decimal system based on the meter. consult appendix i. reference greek prefixes applied to a meter scientific notation 1000 = kilo 1000 m = 1 kilometer (km) 1000 = 10³ 0.1 = deci 0.1 m = 1 decimeter (dm) 0.1 = 10⁻¹ 0.01 = centi 0.01 m = 1 centimeter (cm) 0.01 = 10⁻² 0.001 = milli 0.001 m = 1 millimeter (mm) 0.001 = 10⁻³ 0.000001 = micro 0.000001 m = 1 micrometer (μm) 0.000001 = 10⁻⁶ 0.000000001 = nano 0.000000001 m = 1 nanometer (nm) 0.0000000001 = å 0.0000000001 m = 1 angstrom (å) part i: becoming familiar with the metric system using a standard meter stick determine the answers to the questions below. record your answers in the spaces provided at the right. after completing questions 1 - 7 convert all your answers to scientific notation. these may be placed in parenthesis along side answers already given. if you are not familiar with how to convert a number to scientific notation consult appendix ii. if you encounter difficulty ask for help. standard notation scientific notation how many meters are there in a kilometer? (1.) 1000 m how many cm are there in a meter? (2.) 100 cm how many mm are there in a meter? (3.) 1000 how many mm are there in a centimeter? (4.) 10 cm how many μm are there in an å? (5.) 1,000 what is the length of this page in cm? (6a.) 24 cm and in mm? (6b.) 240 mm if a μm is one thousandth of a mm, (μm = 0.001mm) then state the length of the page in μm. (7.)

Explanation:

Step1: Recall the conversion factor

Given that \(1\ \text{mm} = 1000\ \text{μm}\) and the length of the page is \(240\ \text{mm}\).

Step2: Set up the conversion

To convert the length of the page from millimeters to micrometers, we use the formula \(l_{\text{μm}}=l_{\text{mm}}\times1000\).
Substitute \(l_{\text{mm}} = 240\) into the formula: \(l_{\text{μm}}=240\times1000\).

Step3: Calculate the result

\(240\times1000 = 240000\ \text{μm}\)
In scientific - notation, \(240000=2.4\times 10^{5}\).

Answer:

\(240000\ \text{μm}\) (\(2.4\times 10^{5}\))