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Learn how to convert percentages to decimals and fractions with practical examples in this comprehensive lesson.
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Transparency 6 Click the mouse button or press the Space Bar to display the answers.
Example 6-8b Objective Write percents as decimals and Decimals as percents
Example 6-8b Vocabulary None
Lesson 6 Contents Example 1Write Percents as Decimals Example 2Write Percents as Decimals Example 3Write Percents as Decimals Example 4Write Percents as Decimals Example 5Write Decimals as Percents Example 6Write Decimals as Percents Example 7Write Decimals as Percents Example 8Write Decimals as Percents
Example 6-1a POPULATIONAccording to the Administration on Aging, about 28% of the population of the United States is 19 years of age or younger. Write 28% as a decimal. Write the problem 28 % Write the percent as a fraction. Remove the percent sign and put number in numerator Since percent refers to 100, make the denominator 100 Using the calculator, convert the fraction to a decimal by dividing numerator by denominator Answer: 0.28 1/8
Example 6-1b AMUSEMENTPARKA popular amusement park reports that 17% of its visitors will return at least three times during the year. Write 17% as a decimal. Answer: 0.17 1/8
Example 6-2a Write 47.8% as a decimal. Write the problem 47.8 % Write the percent as a fraction. Remove the percent sign and put number in numerator Since percent refers to 100, make the denominator 100 0.478 Using the calculator, convert the fraction to a decimal by dividing numerator by denominator Answer: 0.478 2/8
Example 6-2b Write 83.2% as a decimal. Answer: 0.832 2/8
Example 6-3a Write 95.3% as a decimal. Write the problem 95.3 % Write percent as fraction 95.3 Remove the percent sign and put number in numerator 100 Since percent refers to 100, make the denominator 100 0.953 Using the calculator, convert the fraction to a decimal by dividing numerator by denominator Answer: 0.953 3/8
Example 6-3b Write 38% as a decimal. Answer: 0.38 3/8
Write as a decimal. Example 6-4a Write the problem Write percent as fraction Remove the percent sign Convert the mixed number to a decimal 8 + 1 5 8.2 100 Put decimal in the numerator Since percent refers to 100, make the denominator 100 Using the calculator, convert the fraction to a decimal by dividing numerator by denominator Answer: 0.082 4/8
Write as a decimal. Example 6-4b Answer: 0.2775 4/8
Example 6-5a POPULATIONIn 1790, about 0.05 of the population of the United States lived in an urban setting. Write 0.05 as a percent. 0.05 Write the problem 5 % 5 Multiply by 100 Add percent sign Answer: 5 % 5/8
Example 6-5b POPULATIONIn 2000, the population of Illinois had increased by 0.086 from 1990. Write 0.086 as a percent. Answer: 8.6% 5/8
Example 6-6a Write 0.121 as a percent. 0.121 Write problem 12.1 12.1% Multiply by 100 Add percent symbol Answer: 12.1% 6/8
Example 6-6b Write 0.364 as a percent. Answer: 36.4% 6/8
Example 6-7a Write 0.33 as a percent. 0.33 Write problem 33 % 33 Multiply by 100 Add the percent sign Answer: 33% 7/8
Example 6-7b Write 0.52 as a percent. Answer: 52% 7/8
Example 6-8a Write 0.419 as a percent. 0.419 Write problem 41.9 41.9 % Multiply by 100 Add the percent sign Answer: 41.9% 8/8
Example 6-8b * Write 0.869 as a percent. Answer: 86.9% 8/8
End of Lesson 6 Assignment