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Converting Percents to Decimals and Fractions

Learn how to convert percents to decimals and fractions, and vice versa. Practice examples and vocabulary included.

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Converting Percents to Decimals and Fractions

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-7b Objective Write percents as fractions and decimals and vice versa

  4. Example 2-7b Vocabulary No Vocabulary

  5. Lesson 2 Contents Example 1Percents as Decimals Example 2Percents as Decimals Example 3Decimals as Percents Example 4Decimals as Percents Example 5Fractions as Percents Example 6Fractions as Percents Example 7Compare Numbers

  6. Example 2-1a Write 52% as a decimal. Write problem Remove the percent symbol. Divide by 100 by moving decimal 2 places to left % Put new decimal in number Answer: 0.52 1/7

  7. Example 2-1b Write 28% as a decimal. Answer: 0.28 1/7

  8. Example 2-2a Write 245% as a decimal. Write problem Remove the percent symbol. 2.45% 2.45% Divide by 100 Put new decimal in number Answer: 2.45 2/7

  9. Example 2-2b Write 135% as a decimal. Answer: 1.35 2/7

  10. Example 2-3a Write 0.3 as a percent. 0.3 0 0. Write problem Multiply by 100 by moving decimal 2 places to the right 30% Annex a zero in empty space Place new decimal Write number with new decimal and percent sign Answer: 30% 3/7

  11. Example 2-3b Write 0.91 as a percent. Answer: 91% 3/7

  12. Example 2-4a Write 0.71 as a percent. 0.71 Write problem Multiply by 100 by moving decimal 2 places to the right 0.71 Place new decimal 71.% Add percent sign Answer: 71% 4/7

  13. Example 2-4b Write 1.65 as a percent. Answer: 165% 4/7

  14. Write as a percent. Example 2-5a Write fraction Convert to decimal by dividing numerator by denominator 0.75 Multiply by 100 75 75 % Add the % sign Answer: 75% 5/7

  15. Write as a percent. Example 2-5c Answer: 25% 5/7

  16. Write as a percent. Example 2-6a Write fraction Convert to decimal by dividing numerator by denominator 0.16666 . . . Multiply by 100 16.666 . . . Use bar notation for repeating decimal 16.6 16.6% Add percent sign % Answer: 16.6% 6/7

  17. Write as a percent. Answer: Example 2-6c 6/7

  18. POLITICS In Sun City, of voters are Democrats. In Moon Town, 48% of voters are Democrats. In which town is there a greater proportion of Democrats? Example 2-7a Sun City 45% Write information Convert fraction to percent Moon Town 48% Compare percents Question asks “which town is there a greater proportion?” Answer: Moon Town 7/7

  19. POLITICS In Star City, of voters are Republicans. In Meteorville, 13% of voters are Republicans. In which town is there a greater proportion of Republicans? Example 2-7b * Answer: Star City 7/7

  20. End of Lesson 2 Assignment

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