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Fraction Decimal Percents

Fraction Decimal Percents. Standards. M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems . f. Use fractions, decimals, and percents interchangeably.

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Fraction Decimal Percents

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  1. Fraction Decimal Percents

  2. Standards • M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems. • f. Use fractions, decimals, and percents interchangeably. • g. Solve problems involving fractions, decimals, and percents.

  3. Essential Question How are fractions, decimals, and percents related?

  4. VocabularyCopy this slide into your CB on page 81. Repeating Decimal-one or more digits repeat continuously Ex. 0.555…. Terminating Decimal- has a finite number of decimal places Ex. 0.75

  5. How do I change from a fraction to a decimal? • Divide the top by the bottom. • Ex. 3 • 4 • (Check your answers on the next slide.) • Ex. 1 • 9

  6. 1. ¾ = .752. 1/9 = .1‾

  7. You Try: • Change the following fractions to decimals: • 5/8 • (Check your answers on the next slide.) • 2. 8/9

  8. 1. 5/8= .6252. 8/9=.8‾

  9. How do I change from a decimal to a fraction? Read the decimal and write it as you read it. Simplify the fraction. Ex. 0.11 Eleven Hundredths (Check your answers on the next slide.) Ex. 0.05 Five Hundredths

  10. .11=11/100 • .05= 5/100= 1/20

  11. You Try • Change the following decimals to fractions: • 0.02 • (Check your answers on the next slide.) • 2. 0.052

  12. .02 = 2/100 = 1/50 • .052 = 52/1000 =13/250

  13. WOW!! TAKE A BREATH!

  14. How do I change from a decimal to a percent? • Multiply the decimal by 100. • (MOVE THE DECIMAL TWO PLACES TO THE RIGHT.) • Ex. 0.64 • (Check your answers on the next slide.) • Ex. 0.05

  15. .64 =64% • .05=5%

  16. You Try: • Change the following decimals to percents: • 0.45 • (Check your answers on the next slide.) • 2. 0.01

  17. .45= 45% • 0.01 = 1%

  18. How do I change from a percent to a decimal? Divide by 100. (MOVE THE DECIMAL TWO PLACES TO THE LEFT.) Ex. 42% (Check your answers on the next slide.) Ex. 7%

  19. 42% = .42 • 7% = .07

  20. You Try • Change the following percents to decimals: • 17% • (Check your answers on the next slide.) • 2. 19%

  21. 17%= .17 • 19% = .19

  22. Summary of all conversion rules • Copy this slide into your CB on pages 74-75. • Percents • 1. Percent to fraction- • Put the percent over 100 and drop % sign • 2. Percent to decimal- • Move the decimal point two places to the LEFT and drop % sign

  23. Summary of conversion rules • Copy this slide into your CB on pages 74-75. • Decimals • 1. Decimal to fraction- • Put the decimal over its place value and drop the decimal point • 2. Decimal to percent- • Move the decimal point two places to the RIGHT and add % sign

  24. Summary of conversion rules • Copy this slide into your CB on pages 74-75. • Fractions- • 1. Fraction to decimal- • Top divided by bottom • 2. Fraction to percent- • Turn into a decimal then to a percent

  25. This sheet is in your packet. Complete these problems in your packet. • Write each percent as a fraction in simplest form. • 1. 52% 2. 29% • Write each percent as a decimal. • 3. 17% 4. 86% • 5. A store clerk has an 8% sales increase. Write the increase as a fraction in simplest form and as a decimal.

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