2-1 3-1 Study Guide and Intervention

1 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 210 Course 3 NAME _____ DATE _____ PERIOD _____Write 34 as a decimal. 34 means 3 fraction 34 can be written as , since 3 4 as a fraction. 11060 is 16 hundredths. 245 decimal can be written as 245 .Write as a mixed N or .Then 10N . 1N 1N9N 7410N 1N 9N 99N 794 Divide each side by 8 29 decimal can be written as 8 29 .Write each fraction or mixed number as a 25 2. 130 3. 78 1265 5. 23 6. 1 29 23 8. 4 131 Write each decimal as a fraction or mixed number in simplest Study Guide and InterventionRational NumbersTo express a fraction as a decimal, divide the numerator by the 1 Example 2 Example 3 ExercisesCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 2-1 Skills PracticeRational NumbersChapter 211 Course 3 NAME _____ DATE _____ PERIOD _____Write each fraction or mixed number as a 110 2.

2 18 3. 34 4. 45 5. 2510 6. 3 290 295 8. 79 16 10. 2 145 11. 353 131 Write each decimal as a fraction or mixed number in simplest 24. 3-12-1 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 212 Course 3 NAME _____ DATE _____ PERIOD _____PracticeRational NumbersWrite each fraction or mixed number as a 35 2. 58 3. 290 4. 3570 5. 1116 6. 392 15 38 9. 353 10. 79 11. 8 1118 12. 9 1310 Write each decimal as a fraction or mixed number in simplest 17. POPULATIONFor Exercises 19 21, refer to the table at the the fraction for Asian as a the decimal equivalent for the fraction of the population that is African the fraction for Hispanic as a decimal. Round to the nearest Exercises 22 and 23,use the figure at the the width of the jellybean as a the width of the jellybean as a of California by RaceRaceFraction of TotalPopulationAsian 110 African American 116 Hispanic 13 Source: Census BureauCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 213 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-1 Word Problem PracticeRational pull of gravity on thesurface of Mars is that of as a fraction in power provided 78% ofthe energy used in France in as a fraction in AND MEASURESOne pint isabout liter.

3 Write liter as afraction in simplest AND MEASURESOne inch millimeters. Write as a mixed number insimplest local middle school has47 computers and 174 students. Whatis the number of students per computerat the school? Write your answer asboth a mixed number in simplest formand a decimal rounded to the a recent season, theAtlanta Braves won 90 out of 162games. What was the ratio of wins tototal games? Write your answer as botha fraction in simplest form and adecimal rounded to the AND UNIVERSITIESR ecently, asmall college had an enrollment of1,342 students and a total of 215faculty. What was the student-facultyratio for this college? Write youranswer as both a mixed number insimplest form and a decimal rounded tothe nearest a recent season,Shaquille O Neal made 658 field goalsout of 1,095 attempts. What wasShaquille O Neal s ratio of successfulfield goals to attempts? Write youranswer as both a fraction in simplestform and a decimal rounded to thenearest Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 214 Course 3 NAME _____ DATE _____ PERIOD _____A Triangular Line DesignConnect each pair of equivalent rational numbers with a straight linesegment.

4 Although you will draw only straight lines, the finisheddesign will appear curved! Reading GuideComparing and Ordering Rational NumbersCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 215 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-2 Get Ready for the LessonRead the introduction at the top of page 91 in your textbook. Writeyour answers more or less than half of the students prefer buttered popcorn? Explain how category is preferred by more students: caramel or plain? category of popcorn is preferred by about one fourth of the class? estimation, order the fractions from least to the Example 4 on page 93. Explain how to use a number line todetermine which of two rational numbers is the lesser Exercises 6 and 7, graph each pair of rational numbers on anumber line. Then identify the lesser 15 , 13 7. 45 , 190 Remember What You the numbers 37 , 35 , 38 , 34 , and 131 from least to greatest.

5 Then write a rule that helps you compare two positive fractions with the Guide and InterventionComparing and Ordering Rational NumbersCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 216 Course 3 NAME _____ DATE _____ PERIOD _____Replace with , ,or to make 45 170 a true as fractions with the same denominator. The least common denominator is 10. 45 54 22 or 180 170 170 11 or 170 Since 180 170 , 45 170 .Order the set of rational numbers , 3 13 , 3 25 , and fromleast to 3 13 and 3 25 as decimals. 13 , so 3 13 . 25 , so 3 25 , the numbers from least to greatest are 3 25 , 3 13 , , and each with , ,or to make a true 56 23 2. 45 1135 3. 19 18 4. 23 170 170 3 45 6. 2 37 2 49 2 58 16 9. 8 Order each set of rational numbers from least to , , 14 , 23 , 2 47 , , 1 190 12. 15 , , , 35 29 ,1 23 , , 2 14 , , , 2 45 23 ,4 56 , , comparing two or more rational numbers, either write the numbers as fractions with the samedenominator or write the numbers as 1 Example 2 ExercisesSkills PracticeComparing and Ordering Rational NumbersChapter 217 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-22-2 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, each with , , or to make a true 12 34 2.

6 13 16 3. 25 130 4. 29 13 5. 34 192 6. 38 25 7. 56 67 8. 49 151 9. 59 4 1103 11. 2 175 5 13. 1 58 49 15. 7 Order each set of rational numbers from least to , , 13 , 29 25 ,1 23 , , , 2 17 , , 1 190 19. 14 , , , 1 34 20. , , 2 19 , 1 1101 21. , , 1 78 , 23 78 ,6 1156 , , 4 16 , , , 5 13 191 , , 5 270 , 3 14 , 4 18 , , 3 141 , and Ordering Rational NumbersChapter 218 Course 3 NAME _____ DATE _____ PERIOD _____2-2 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, each with <, >, or = to make a true 35 57 2. 49 151 121 3 19 175 5 187 121 251 1207 380 9. 183 153 10. 38 78 11. 25 67 12. 29 191 13. 14. 15. 16. is least: 38 , , 141 , , or 153 ? is greatest: 79 , , 8 , 1113 ,or each set of rational numbers from least to , 5 34 , 5 35 , , , 1 19 , 1 111 point on the number line is the graph of you order a set of numbers from least to greatest, the middle number is the median.

7 Find the median of , , ,42 45 , and 43 34 .4112143 PQRS0 chapter 219 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-22-2 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, the last ten games,Percy made 172 of his free throws. For the same period, Tariq made 47 of his free throws. Which player has thebetter free throw record? s baseball team won 5738 of its games last year, while Southern s team won 5851 of its team had the better record? A contains 4 13 fluid ounces of water, while beaker B contains 4 130 fluid ounces of beaker has the smaller amountof water? two trees in Opal s back yard have circumferences of 12 58 inches and 12 35 inches. Which circumference is larger? Monday, Rob laps per minute. On Tuesday, he averaged 3 45 laps per minute. On which day did Rob run faster? and Carla both gaveapples to their teacher. Hector s apple weighed 6 172 ounces, while Carla s apple weighed ounces.

8 Whichapple weighed more? ran one lap in , while Della s time for one lap was 83 78 seconds. Which runner had the faster time? median of a set ofnumbers can be found by first puttingthe numbers in order from least togreatest, then choosing the middlenumber. Find the median of ,5 34 ,5 78 , , and 5 45 .Word Problem PracticeComparing and Ordering Rational NumbersA Famous Line-UpA number line can be used to graph a mixed number or an improper number line above shows the graph of two points. Point Gis at 12 and point His at 32 .Graph each set of points on the number line. When you are finished,the letters will spell the last names of some famous Rat 130 , point Aat 1 13 , point Nat 4 23 , point Gat 63 , point Gat 13 ,point Iat 133 , and point Aat 2 23 Rat 1, point Eat 34 , point Sat 2, point Dat 32 , point Aat 12 ,point Hat 54 , and point Pat 14 Gat 2 16 , point Mat 16 , point Sat 56 , point Sat 1 13 , point Rat 161 , point Oat 13 , and point Iat 53 are these three people famous?

9 0 1 22 2 10150123421GH0 EnrichmentChapter 220 Course 3 NAME _____ DATE _____ PERIOD _____2-2 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Reading GuideMultiplying Positive and Negative FractionsChapter 221 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-32-3 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Ready for the LessonComplete the Mini Lab at the top of page 96 in your your answers is the product of 13 and 25 ? an area model to find each 34 12 b. 25 23 c. 14 35 d. 23 45 is the relationship between the numerators of the factors and thenumerator of the product? is the relationship between the denominators of the factors and thedenominator of the product?Read the is the greatest common factor of two numbers? is the greatest common factor used when multiplying fractions? is dimensional analysisdefined on page 98 in your textbook? is dimensional analysis used in Example 5 on page 98 in yourtextbook?

10 Remember What You Learned you were to visit Europe, you may need to exchange some of yourmoney for Euros. The exchange ratetells you how many dollars equalshow many Euros. How would you use dimensional analysis to computethe number of Euros you would get from $50? Study Guide and InterventionMultiplying Positive and Negative FractionsFind 38 141 . Write in simplest form. 38 141 382 141 1 Divide 8 and 4 by their GCF, 4. 23 111 Multiply the numerators and denominators. 232 multiply mixed numbers, first rewrite them as improper 2 13 3 35 . Write in simplest form. 2 13 3 35 73 158 2 13 73 , 3 35 158 731 1586 Divide 18 and 3 by their GCF, 3. 71 56 Multiply the numerators and denominators. 452 Simplify. 8 25 Write the result as a mixed Write in simplest 23 35 2. 47 34 3. 12 79 4. 190 23 5. 58 49 6. 47 23 25 16 8. 3 13 1 12 37 2 58 10. 1 78 2 25 11. 1 34 2 15 23 2 37 chapter 222 Course 3 NAME _____ DATE _____ PERIOD _____2-3 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, 1 Example 2 ExercisesTo multiply fractions, multiply the numerators and multiply the PracticeMultiplying Positive and Negative FractionsChapter 223 Course 3 NAME _____ DATE _____ PERIOD _____Lesson 2-32-3 Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Write in simplest 18 23 2.