4.1 Percents And Fractions - Big Ideas Learning

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English4.1SpanishPercents and FractionsHow can you use a model to write a percentSSTATESTANDARDSas a fraction or write a fraction as a percent?MA.6.A.5.1PercentA century is 100 years.A cent is one hundredthof a dollar.In Mexico, a centavo isone hundredth of a peso.30“Cent” means one hundred, so “percent” meansper one hundred. The symbol for percent is %.130100Sample: 30% —percentACTIVITY: Writing Percents as FractionsWork with a partner. Write the percent shown by the model. Write the percentas a fraction with a denominator of 100. Simplify the fraction.a. Sample:30100b.c.31030% — —2ACTIVITY: Writing Percents as FractionsWork with a partner. Draw a model to represent the percent. Write the percentas a fraction with a denominator of 100. Simplify the fraction.a. 60%148Chapter 4b. 5%Fractions, Decimals, and Percentsc.85%d. 28%

EnglishSpanish3ACTIVITY: Writing Fractions as PercentsWork with a partner. Draw a model to represent the fraction. Rewrite thefraction with a denominator of 100. Write the fraction as a percent.25a. Sample: —710 4010035b. — —c. —d.40%34325—e. —4. IN YOUR OWN WORDS How can you use a model to write a percentas a fraction or write a fraction as a percent? Give an example withyour answer.5. Fractions that are terminating decimals are easier to write as percentsthan fractions that are repeating decimals. Write the percent shown bythe model as a fraction. Explain your reasoning.1333 %6. One way to answer a questionabout a percent is to write thepercent as a fraction.a. Write the following question usinga fraction.“How much is 50% of 2.00?”b. Use what you know about fractionsto answer the question.“Dear Sir, you couldsave a letter in writing 50% OFFby simply writing 50% ON.”7. A notebook has an original price of 8.00. The notebook is on salefor 75% of the original price. Use a model to determine how muchyou will pay for the notebook.Use what you learned about percents and fractions to completeExercises 4 –7 and 17– 20 on page 152.Section 4.1Percents and Fractions149

English4.1SpanishLessonLesson TutorialsA percent is the number of parts per one hundred.Key Vocabularypercent, p. 150parts6010060% 60 out of 100 —perone hundredWriting Percents as FractionsWordsWrite the percent as a fraction with a denominator of 100.Then simplify if possible.NumbersEXAMPLE13010031030% — —Algebran100n% —Writing Percents as Fractionsa. Write 35% as a fraction in simplest form.35100Write as a fraction witha denominator of 100.720Simplify.35% — —b. Write 174% as a mixed number in simplest form.Write as a fraction witha denominator of 100.174100174% —87503750 —, or 1 —Simplify.3750So, 174% 1 —.Write the percent as a fraction or mixed number in simplest form.Exercises 4–15150Chapter 41. 15%2. 168%3. 36%4. 83%Fractions, Decimals, and Percents

EnglishSpanishWriting Fractions as PercentsWordsWrite an equivalent fraction with a denominator of 100. 251425100 —Numbers— 25% 25EXAMPLE2Writing a Fraction as a Percent350Write — as a percent. 23—50 50 2 100. So, multiply the numeratorand denominator by 2. Write the numeratorwith a percent symbol.6— 6%100 2EXAMPLE3Real-Life Application78You delete — of the pictures on a digital camera. What percent of thepictures did you delete?7878— 0.875Write — as a decimal.8751000 —0.875 is 875 thousandths.875 101000 1087.510087.5100— — — 87.5%Write the numerator with a percent symbol.So, you deleted 87.5% of your pictures.Write the fraction as a percent.Exercises 17–2831507255. —6. —19207. —9408. —189. You delete — of the messages in your email inbox. Whatpercent of the messages did you delete?Section 4.1Percents and Fractions151

EnglishSpanishExercises4.1Help with Homework1. WHICH ONE DOESN’T BELONG? Which one does not have the same value asthe other three? Explain your reasoning.42516%—21216100——2. OPEN-ENDED Write three different fractions that are less than 40%.143. NUMBER SENSE Can 1 — be written as a percent? Explain.6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Write the percent as a fraction or mixed number in simplest form.14. 45%5. 90%6. 15%8. 34%9. 79%10. 23.9%11. 188%12. 0.25%13. 224%14. 146.8%15. 0.4%16. ERROR ANALYSIS Describe and correct theerror in writing 225% as a fraction. 7. 77.5%2251000940225% — —Write the fraction as a percent. Which method did you use?211018. —21. —275022. —172026. —3 17. —25. —1519. —182523. —91627. —29. ERROR ANALYSIS Describe and correct the1425error in writing — as a percent.112020. —3824. —334028. — 2251316350142514 425 456100— — — 0.56%30. LEFT-HANDED Of the students in your class, 12% are left-handed. Whatfraction of the students are left-handed?31. BASKETBALL A basketball player’s made shots ( )and missed shots ( ) are shown. What percentof shots did the player make?152Chapter 4Fractions, Decimals, and Percents

EnglishSpanishWrite a fraction and a percent to represent the shaded portion of the model.32.33.34.Write the mixed number as a percent.475035. 2 —320232536. 6 —95037. 3 —38. 4 —39. FUNDRAISER A school fundraiser raised 120% of its goal last year and 125%of its goal this year. Did the fundraiser raise more money this year? Explainyour reasoning.40. GEOGRAPHY The percent of the area of the United States that is in each offour states is 7%a. Write the percents as fractions in simplest form.b. How many times larger is Florida than Hawaii?c. Compared to the map of Florida, is the map of Alaska the correct size?Explain your reasoning.d. RESEARCH Which of the fifty states are larger than Florida?112Write — as a percent. Explain how you found your answer.41.Write the fraction as a decimal.172042. —SECTION 2.894043. —71544. —151645. —46. MULTIPLE CHOICE Twelve tickets to a concert cost 523.56. What is the cost ofone ticket?SECTION 3.4A 31.36 B 43.51 C 43.63 Section 4.1D 44.38 Percents and Fractions153

150 Chapter 4 Fractions, Decimals, and Percents 4.1 Lesson Key Vocabulary percent, p. 150 A percent is the number of parts per one hundred. 60% 60 out of 100 60 — 100 parts per one hundred Writing Percents as Fractions Words Write the percent as a fraction with a denomi

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