YOYO: Write the following in scientific notation 3450000 0.000000012 -23100000 -0.0002310 Write the following in standard form 8.923 x 106 0.002 x 10-3 -1.093 x 104 -0.0193 x 10-2

YOYO: Write the following in scientific notation 3450000  3.45 x 106 Write the following in standard form 8.923 x 106  8923000 2.0 x 10-3  0.0020 -1.093 x 104  -10930 -1.093 x 10-2  -0.01093

AIM: What is dimensional analysis? Scanlon

Dimensional Analysis Dimensional analysis, (aka Factor-Label Method, or Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. It is a very useful technique we will be using all year long!

Unit Factors/Conversion Factors Unit factors, or conversion factors, may be made from any two terms that describe the same or equivalent “amounts” of what we are interested in

Useful Conversion Factors 1 inch = 2.54 cm 5280 feet = 1 mile 3 feet = 1 yard 1 yard = 1.09 meters 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 365.25 days = 1 year 1 liter = 1000 milliliters 101.3 kPa = 1 atm *

1 Equivalent Amount  2 Unit Factors 1 inch = 2.54 centimeters 1 inch 2.54 centimeters 2.54 centimeters 1 inch

How many centimeters are in 6.00 inches? Write what you are starting with Determine what you want to end up with Look to see what conversion factors might be useful Multiply by the conversion factor Check to see that all units EXCEPT for what you want to end up with will cancel out. If not, flip the conversion factor Plug into a calculator and get your answer. Make sure to use proper significant figures Double check to make sure you have ended up with the correct units, and everything else was canceled out. 6.00 inches Inches  cm 1 inch = 2.54 cm 6.00 in 2.54 cm 1 1 in 5. See above 6. 15.24 cm 7. See above

How many seconds are in 1 year 1 yr 1 60 sec 1 min 365.25 days 1 year 24 hours 1 day 60 mins 1 hour (1)(365.25)(24)(60)(60) = 31,557, 660 seconds

Practice Time Work on the first 4 problems in the DIMENSIONAL ANALYSIS PRACTICE section in your HW packet (page 4)