Percent - XYZ Custom Plus

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308Chapter 5 <strong>Percent</strong>NoteWhen rounding off, let’sagree to round off tothe nearest thousandthand then move the decimal point.Our answers in percent form willthen be accurate to the nearesttenth of a percent, as in Example 26.Because the 6s repeat indefinitely, we can use mixed number notation to write_ 5 _12 = 0.41 6= 41_2 3 %Or, rounding, we can write_ 5 = 41.7% To the nearest tenth of a percent1227. Change to a percent.a. 3_3 4 b. 3_7 8 Example 27Change 2 1 _Solutionto a percent.2We first change to a decimal and then to a percent:2_1 = 2.52= 250%Table 1 lists some of the most commonly used fractions and decimals and theirequivalent percents.Table 1Fraction Decimal percent_1 0.5 50%2_1 0.25 25%4_3 0.75 75%4 1 _3 0.3 331 _3 % 2 _3 0.6 662 _3 %_1 0.2 20%5_2 0.4 40%5_3 0.6 60%5_4 0.8 80%5Answers26. a. 58_1 % ≈ 58.3%3b. 108_1 % ≈ 108.3%327. a. 375% b. 387.5%Getting Ready for ClassAfter reading through the preceding section, respond in your ownwords and in complete sentences.1. What is the relationship between the word percent and the number100?2. Explain in words how you would change 25% to a decimal.3. Explain in words how you would change 25% to a fraction.4. After reading this section you know that _1 , 0.5, and 50% are equivalent.2Show mathematically why this is true.
5.1 Problem Set309Problem Set 5.1A Write each percent as a fraction with denominator 100. [Examples 1–6]1. 20%2. 40%3. 60%4. 80%5. 24%6. 48%_20100 _ 40100 _ 60100 _ 80100 _ 24100 _ 48100 7. 65%8. 35%_65100 _ 35100 B Change each percent to a decimal. [Examples 7–14]9. 23%0.2310. 34%0.3411. 92%0.9212. 87%0.8713. 9%0.0914. 7%0.0715. 3.4%0.03416. 5.8%0.05817. 6.34%0.063418. 7.25%0.072519. 0.9%0.00920. 0.6%0.006C Change each decimal to a percent. [Examples 15–20]21. 0.2323%22. 0.3434%23. 0.9292%24. 0.8787%25. 0.4545%26. 0.5454%27. 0.033%28. 0.044%29. 0.660%30. 0.990%31. 0.880%32. 0.550%33. 0.2727%34. 0.6262%35. 1.23123%36. 2.34234%
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