1.
How fast will Joyanna and Ian have to drive from Anchorage, Alaska to San Diego, California if they plan on making it in 2 days and 15 hours? Warm Up
Example of Conversion Factors 1) Add 4/5 to both sides to cancel out â€“4/5 and get H by itself. H â€“ 4 + 4 = 7 + 4 5 5 9 5 2) Multiply both 7/9 and 4/5 by a conversion factor. H = 7 ( 5 ) + 4 ( 9 ) 9 (5) 5 (9) 3) 5/5 and 9/9 are Conversion Factors.
7.
This is the Same with Conversion Factors in Converting Units!
Use Equivalent Units To Write A Conversion Factor.
Like: 12 inches = 1 foot. They Are Equivalent! Also: 4 quarts = 1 gallon. They Are Equivalent! Also: 24 hours = 1 day. They Are Equivalent!
8.
Turn The Conversions Into Fractionsâ€¦Theyâ€™re Equivalent
Just Write These Equivalents to Make a Fraction that is Equal to 1.
The process of analyzing units to decide which conversion factors to use.
When you are looking at the Legend on your handout, thatâ€™s Dimensional Analysis!
10.
This is a Fraction Bar These Bars mean Multipl-ication and separate fractions or Conversion Factors. 10 quarts = ? gallons 10 Quarts ? Gallons Conversion Factor Goes Here 4 Quarts 1 Gallon Now turn it into a Fraction/Multiplication Problem 10 ï‚´ Â¼ = 2 Â½ gallons 10 quarts = 2 Â½ gallons
11.
This is a Fraction Bar These Bars mean Multipl-ication and separate fractions or Conversion Factors. Dealing with Mixed Numbers and Conversions? 3 3/16 yards = ? inches 1) Change Mixed Number to an Improper Fraction, then Convert. 51 Yards 1 Yard 3 Feet 1 Foot 12 Inches 16 2) Take the answer and Change to a Mixed Number. Notice how the IMPROPER Fraction looks like a Fraction on the T graph. (51 ï‚´ 3 ï‚´ 12) ï‚¸ (16 ï‚´ 1 ï‚´ 1) = 114.75 or 114 Â¾
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