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Review of Customary Units, Fractions, and Dimensional Analysis. By Ms. Dewey-Hoffman February 23, 2020 Chapter 5, Section 5  (if you must know)
Example of Conversion Factors ,[object Object],[object Object],[object Object],[object Object],A  Conversion Factor  is  always  equal to  1 .
This is the Same with Conversion Factors in Converting Units! ,[object Object],Like: 12 inches = 1 foot. They Are Equivalent! Also: 4 quarts = 1 gallon. They Are Equivalent! Also: 24 hours = 1 day. They Are Equivalent!
Turn The Conversions Into Fractions…They’re Equivalent ,[object Object],12 inches  = 1 1 foot  2 cups   = 1 8 Fluid Ounces
Dimensional Analysis ,[object Object],When you are looking at the Legend on your handout, that’s Dimensional Analysis!
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    ¼ = 2 ½ gallons 10 quarts = 2 ½ gallons
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     3    12)    (16    1    1) = 114.75 or 114 ¾
To Compare Different Units… ,[object Object],[object Object],10 Gallons ____ 42 Quarts ,[object Object],[object Object],[object Object],<

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5 5 Customary Units Dimensional Analysis

  • 1. Review of Customary Units, Fractions, and Dimensional Analysis. By Ms. Dewey-Hoffman February 23, 2020 Chapter 5, Section 5 (if you must know)
  • 2.
  • 3.
  • 4.
  • 5.
  • 6. 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  ¼ = 2 ½ gallons 10 quarts = 2 ½ gallons
  • 7. 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  3  12)  (16  1  1) = 114.75 or 114 ¾
  • 8.