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Mastering Proportions and Unit Conversions: A Step-by-Step Guide

This guide focuses on solving proportions using cross products, ensuring equalities are maintained in equations. By employing cross multiplication, we can derive solutions effectively through practical examples. Additionally, it covers the analysis of units with a detailed conversion process facilitated by conversion factors. Learn to convert various measurements, such as miles per hour from feet per second and pounds to ounces, through real-world problems. For further practice, designated textbook pages provide additional examples and homework problems to reinforce understanding.

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Mastering Proportions and Unit Conversions: A Step-by-Step Guide

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  1. 7-4 Solving Proportions Cross Products in proportions are equal. (you get the same answer when you cross multiply) To solve a proportion, cross multiply to write an equation, then solve the equation. Example: x72 9 189 189x = (72)(9) 189x = 648 189 189 x = 3.428 = Additional examples can be found on pages 356-357 in the text book. 7-3 Analyzing Units Use the conversion sheet that Mr. Scott gave you in class on 1/4/2012. To convert units, multiply by one or more ratios of equal quantities called conversion factors. Memorie walks 2 feet per second. How many miles per hour is this? 1 mile2 feet60 seconds60 minutes = 5280 feet 1 second 1 minute 1 hour 7200 = 1.36mph 5280 × × ×

  2. Example: Mitchell eats 12 lbs. of bologna each year. How many ounces per week is that? 1 year 12 lbs16 ounces 52 weeks 1 year 1 lb. = 192 = 3.69 oz/week 52 x x Additional examples on pages 350-352 in the textbook. HOMEWORK 1/4/12: p. 344 #12-20 even p. 348 #2-10 even p. 353 #1-15 odd p. 358 #15-27 odd

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