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Unformatted text preview: Chapter 5 Ratio, Proportion, and Measurement MartinGay, Basic College Mathematics with Early Integers 2 MartinGay, Basic College Mathematics with Early Integers 2 5.1 Ratios 5.2 Proportions 5.3 Proportions and Problem Solving 5.4 Length: U.S. and Metric Systems 5.5 Weight and Mass: U.S. and Metric Systems 5.6 Capacity: U.S. and Metric Systems 5.7 Conversions between the U.S. and Metric Systems Chapter Sections 5.1 Ratios MartinGay, Basic College Mathematics with Early Integers 4 MartinGay, Basic College Mathematics with Early Integers 4 Writing Ratios as Fractions EXAMPLE EXAMPLE SOLUTION SOLUTION Write the ratio of 7 to 12 as a fraction. 12 to 7 12 7 Remember that order is important while writing ratios. is not the same as 12 7 . 7 12 MartinGay, Basic College Mathematics with Early Integers 5 MartinGay, Basic College Mathematics with Early Integers 5 Writing Ratios in Simplest Form SOLUTION SOLUTION EXAMPLE EXAMPLE Write the ratio 25 to 150 as a fraction in its simplest form. 150 to 5 2 150 25 6 25 1 25 = = 6 1 MartinGay, Basic College Mathematics with Early Integers 6 MartinGay, Basic College Mathematics with Early Integers 6 Writing Rates as Fractions Definition Example Rates : Used to compare different kinds of quantities. feet 15 shrubs 5 feet 3 shrubs 1 MartinGay, Basic College Mathematics with Early Integers 7 MartinGay, Basic College Mathematics with Early Integers 7 Finding Unit Rates Definition Example Unit Rate : A rate with a denominator of 1. 25 miles per hour EXAMPLE EXAMPLE Write 275 miles in 11 hours as a unit rate. SOLUTION SOLUTION hours 11 miles 275 275 11 22 55 55 5 hour per miles 25 or hours 1 miles 5 2 2 MartinGay, Basic College Mathematics with Early Integers 8 MartinGay, Basic College Mathematics with Early Integers 8 Finding Unit Prices Definition Example Unit Price : When a unit rate is money per item. $0.29 per apple EXAMPLE EXAMPLE Find the unit price of $0.87 for 3 apples. SOLUTION SOLUTION apples 3 87 . $ 87 . 3 6 27 27 29 apple per $0.29 or apples 1 29 . $ 2 . 5.2 Proportions MartinGay, Basic College Mathematics with Early Integers 10 MartinGay, Basic College Mathematics with Early Integers 10 Writing Proportions Definition Example Proportion : A statement that 2 ratios or rates are equal. page 1 errors 1.5 pages 8 errors 12 = MartinGay, Basic College Mathematics with Early Integers 11 MartinGay, Basic College Mathematics with Early Integers 11 Determining Whether Proportions Are True EXAMPLE EXAMPLE 7 4 12 7 = Determine whether is a true proportion by cross multiplying. SOLUTION SOLUTION 4 12 7 7 12 7 7 4 = ? 49 = 48 = Since the cross products are not equal, are not equivalent proportions....
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This note was uploaded on 03/24/2012 for the course MTH 090 taught by Professor Garypiercy,christopherriola during the Spring '09 term at Moraine Valley Community College.
 Spring '09
 GaryPiercy,ChristopherRiola
 Ratios

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