5 5 Customary Units Dimensional Analysis

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],<

5 5 Customary Units Dimensional Analysis

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5 5 Customary Units Dimensional Analysis