Fundamentals of Mathematics, 2008a

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422 CHAPTER 7. RATIOS AND RATES are examples of rates. Let's agree to represent two numbers (pure or denominate) with the letters a and b. This means that we're letting a represent some number and b represent some, perhaps dierent, number. With this agreement, we can write the ratio of the two numbers a and b as a b or b a The ratio a b The ratio b a is read as " a to b." is read as " b to a." Since a ratio or a rate can be expressed as a fraction, it may be reducible. 7.2.3.1 Sample Set B Example 7.7 The ratio 30 to 2 can be expressed as 30 2 . Reducing, we get 15 1 . The ratio 30 to 2 is equivalent to the ratio 15 to 1. Example 7.8 The rate "4 televisions to 12 people" can be expressed as 4 televisions 12 people . The meaning of this rate is that "for every 4 televisions, there are 12 people." Reducing, we get 1 television 3 people . The meaning of this rate is that "for every 1 television, there are 3 people. Thus, the rate of "4 televisions to 12 people" is the same as the rate of "1 television to 3 people." 7.2.3.2 Practice Set B Write the following ratios and rates as fractions. Exercise 7.2.3 (Solution on p. 466.) 3 to 2 Exercise 7.2.4 (Solution on p. 466.) 1 to 9 Exercise 7.2.5 (Solution on p. 466.) 5 books to 4 people Exercise 7.2.6 (Solution on p. 466.) 120 miles to 2 hours Exercise 7.2.7 (Solution on p. 466.) 8 liters to 3 liters Write the following ratios and rates in the form "a to b." Reduce when necessary. Exercise 7.2.8 (Solution on p. 466.) 9 5 Exercise 7.2.9 (Solution on p. 466.) 1 3 Exercise 7.2.10 (Solution on p. 466.) 25 miles 2 gallons Available for free at Connexions
423 Exercise 7.2.11 (Solution on p. 466.) 2 mechanics 4 wrenches Exercise 7.2.12 (Solution on p. 466.) 15 video tapes 18 video tapes 7.2.4 Exercises For the following 9 problems, complete the statements. Exercise 7.2.13 (Solution on p. 466.) Two numbers can be compared by subtraction if and only if . Exercise 7.2.14 A comparison, by division, of two pure numbers or two like denominate numbers is called a . Exercise 7.2.15 (Solution on p. 466.) A comparison, by division, of two unlike denominate numbers is called a . Exercise 7.2.16 is an example of a . (ratio/rate) 6 11 Exercise 7.2.17 (Solution on p. 466.) is an example of a . (ratio/rate) 5 12 Exercise 7.2.18 is an example of a . (ratio/rate) 7 erasers 12 pencils Exercise 7.2.19 (Solution on p. 466.) 20 silver coins 35 gold coins is an example of a .(ratio/rate) Exercise 7.2.20 3 sprinklers 5 sprinklers is an example of a . (ratio/rate) Exercise 7.2.21 (Solution on p. 466.) is an example of a .(ratio/rate) 18 exhaust valves 11 exhaust valves For the following 7 problems, write each ratio or rate as a verbal phrase. Exercise 7.2.22 8 3 Exercise 7.2.23 (Solution on p. 466.) 2 5 Exercise 7.2.24 8 feet 3 seconds Exercise 7.2.25 (Solution on p. 466.) 29 miles 2 gallons Exercise 7.2.26 30,000 stars 300 stars Exercise 7.2.27 (Solution on p. 466.) 5 yards 2 yards Exercise 7.2.28 164 trees 28 trees For the following problems, write the simplied fractional form of each ratio or rate. Exercise 7.2.29 (Solution on p. 466.) 12 to 5 Available for free at Connexions
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Fundamentals of Mathematics By: Den
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iv 4.10 Prociency Exam . . . . . .
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2 • Section Exercises • Exercis
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4 Addition and Subtraction of Fract
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8 minds to our suggestions and conc
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10 CHAPTER 1. ADDITION AND SUBTRACT
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92 CHAPTER 2. MULTIPLICATION AND DI
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100 CHAPTER 2. MULTIPLICATION AND D
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154 CHAPTER 3. 3.2 Exponents and Ro
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156 3.2.4 Roots CHAPTER 3. EXPONENT
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158 CHAPTER 3. EXPONENTS, ROOTS, AN
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164 3.3.3.1 Sample Set B CHAPTER 3.
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176 3.4.6.1 Sample Set C CHAPTER 3.
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186 3.6.3.2 Practice Set B CHAPTER
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188 3.6.5.2 Practice Set C CHAPTER
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200 CHAPTER 3. Solutions to Exercis
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214 CHAPTER 4. INTRODUCTION TO FRAC
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220 4.2.6 Exercises CHAPTER 4. INTR
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226 Thus, CHAPTER 4. INTRODUCTION T
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236 4.4.3.1.1 Sample Set B CHAPTER
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238 CHAPTER 4. 4.4.4 Raising Fracti
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250 √ 9 100 = 3 10 Example 4.45 4
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262 CHAPTER 4. 4.7.2 Multiplication
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268 CHAPTER 4. 4.8 Summary of Key C
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278 CHAPTER 4. Solutions to Exercis
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296 CHAPTER 5. ADDITION AND SUBTRAC
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304 5.3.4 Exercises CHAPTER 5. ADDI
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340 CHAPTER 6. DECIMALS • underst
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344 CHAPTER 6. DECIMALS 0.17 6.2.5.
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346 CHAPTER 6. DECIMALS 6.2.6.1 Exe
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348 CHAPTER 6. DECIMALS 4 + .006 1
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350 CHAPTER 6. DECIMALS 6.3.4.1 Exe
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354 CHAPTER 6. DECIMALS Exercise 6.
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356 CHAPTER 6. DECIMALS 841.0056 47
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358 CHAPTER 6. DECIMALS The sum is
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362 CHAPTER 6. DECIMALS Thus, 6.5
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364 CHAPTER 6. DECIMALS Table 6.15
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366 CHAPTER 6. DECIMALS 6.6.6.1 Sam
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478 CHAPTER 8. TECHNIQUES OF ESTIMA
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514 CHAPTER 9. MEASUREMENT AND GEOM
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578 CHAPTER 10. SIGNED NUMBERS 10.2
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580 CHAPTER 10. SIGNED NUMBERS Some
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632 CHAPTER 11. ALGEBRAIC EXPRESSIO
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694 INDEX Index of Keywords and Ter
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696 INDEX Ÿ 3.4(172), Ÿ 3.5(180),
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698 INDEX reading, Ÿ 1.3(15) readi
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700 ATTRIBUTIONS Module: "Addition
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702 ATTRIBUTIONS Module: "Multiplic
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704 ATTRIBUTIONS Module: "Introduct
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706 ATTRIBUTIONS Module: "Addition
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708 ATTRIBUTIONS Module: "Decimals:
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710 ATTRIBUTIONS Module: "Ratios an
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716 ATTRIBUTIONS Module: "Algebraic
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Fundamentals of Mathematics Fundame
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Fundamentals of Mathematics, 2008a

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