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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 5 Ratio, Proportion, and Measurement.

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Presentation on theme: "Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 5 Ratio, Proportion, and Measurement."— Presentation transcript:

1 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 5 Ratio, Proportion, and Measurement

2 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 5.1 Ratios

3 33 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Ratios as Fractions A ratio is a quotient of two quantities. 1 to 2 or or 1 : 2 Writing a Ratio as a Fraction The order of the quantities is important when writing ratios. To write a ratio as a fraction, write the first number of the ratio as the numerator of the fraction and the second number as the denominator.

4 44 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Write the ratio 15 to 23 using fractional notation.

5 55 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Ratios in Simplest Form Write the ratio of $25 to $15 as a fraction in simplest form.

6 66 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Ratios in Simplest Form Write the ratio of 2.6 to 3.1 as a fraction in simplest form.

7 77 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Ratios in Simplest Form Write the ratio of as a fraction in simplest form.

8 88 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Ratios in Simplest Form Given the rectangle shown: a. Find the ratio of its width to its length. b. Find the ratio of its length to its perimeter. a. b. Perimeter = 7 + 5 + 7 + 5 = 24 feet 7 feet 5 feet

9 99 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Writing Rates as Fractions A special type of ratio is a rate. A rate is used to compare different kinds of quantities.

10 10 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Write the rate as a fraction in simplest form. 10 nails every 6 feet

11 11 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Write each rate as a fraction in simplest form. 1. $2160 for 12 weeks 2. 360 miles on 16 gallons of gasoline

12 12 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding Unit Rates A unit rate is a rate with a denominator of 1. 55 miles per hour is an example of a unit rate. Write a Rate as a Unit Rate To write a rate as a unit rate, divide the numerator of the rate by the denominator.

13 13 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding Unit Rates Write as a unit rate: $31,500 every 7 months The unit rate is

14 14 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding Unit Prices A unit rate is “money per item,” it is also called a unit price.

15 15 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding Unit Prices A store charges $4.80 for a 32-ounce container of laundry soap. What is the unit price in dollars per ounce?

16 16 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding the Best Buy Approximate each unit price to decide which is the better buy: 4 bars of soap for $0.99 or 5 bars of soap for $1.19. Thus the 5-bar package is the better buy.


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