1 / 30

Fractions, Decimals, Percents

Fractions, Decimals, Percents. October, 2013. Reminder…. Numerator represents the… “part” Denominator represents the… “whole” So, Example: There were 15 elephants in the zoo that has 236 animals. Write a fraction representing this situation. Types of Decimals.

bradley-walter
Télécharger la présentation

Fractions, Decimals, Percents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Fractions, Decimals, Percents October, 2013

  2. Reminder… • Numerator represents the… “part” • Denominator represents the… “whole” • So, • Example: There were 15 elephants in the zoo that has 236 animals. Write a fraction representing this situation.

  3. Types of Decimals • Examine the decimal below. What do you notice? • 6.375 • Terminating Decimal: Any decimal that “terminates” • “Terminates” means “to end or stop” • Examples of Terminating Decimals: • 5.67 4.23 • -6.901 -3.75 • A terminating decimal is part of the real number system. How is it classified?

  4. Examine the decimals below. What do you notice? • 6.33333…. • Repeating Decimal: Any decimal that has a constant pattern of digits that repeat. • Examples: • 5.3333… “3” is the repeating digit • 6.3030… “30” is the repeating pattern • -1.233233… “233” is the repeating pattern

  5. Repeating Decimals • A repeating decimal is part of the real number system. How is it classified? • Bar Notation: • The line above the repeating digits • only occurs over the repeating part • Examples: • 1.34 1.23 16.598

  6. Fractions, Decimals & Percents • All three have the same value, they are just represented in different ways. • CANcalculate with fractions AND decimals! • CANNOT calculate with percents!

  7. Note to self: • Use “Examples” document for practice on each section.

  8. FRACTIONS TO DECIMALS

  9. Fractions to Decimals • Any fraction can be written as a decimal – • How? • Divide the numerator by the denominator. • YOU MUST BE ABLE TO SHOW THIS USING LONG DIVISION!! 5/8 = .625 2/5 = .40

  10. FRACTIONS TO PERCENTS

  11. Fractions to Percents • Percent means… • “Per 100” or “Out of 100”

  12. Fractions to Percents • Make the fraction a decimal and multiply by 100 • (move decimal 2 places to right) • 1/4 = .25 = 25% • 12/25 = .48 = 48%

  13. You try! • Fraction to Decimal: (use long division) • Fraction to Percent:

  14. DECIMALS TO FRACTIONS

  15. Decimals to Fractions • “SAY” the decimal and create the fraction …then, simplify! • .35 = 35/100 = 7/20 • .217 = 217/1000

  16. Repeating Decimals to Fractions • How do you make a repeating decimal into a fraction? • There is a very complicated process that ultimately says “take the repeating part of the decimal and put it over a denominator that has the same number of 9’s.” • Example – 0.3333… = 3/9 = 1/3 .484848… = 48/99

  17. DECIMALS TO PERCENTS

  18. Decimals to Percents • Multiply by 100 (move decimal 2 places to right) • .25 = 25% • .48 = 48%

  19. Decimals to Percents • D ----- P • D ------- P

  20. You Try! • Decimals to Fractions: • 0.52 0.8 • Decimals to Percents: • 0.13 0.192

  21. PERCENTS TO FRACTIONS

  22. Percents to Fractions • Percent = “Per 100” or “Out of 100”… • Removing the % sign and placing the number over 100. • 23% = 23/100 • 55% = 55/100 (simplify)

  23. PERCENTS TO DECIMALS

  24. Percents to Decimals • Divide the percent by 100 (move decimal 2 places to the left) • 23% = .23 • 64% = .64

  25. Percents to Decimals • D ----- P • D ------- P

  26. You Try! • Percents to Fractions: • 85% 1% • Percents to Decimals: • 21% 27.3%

  27. Quick Tip – Decimal/Percent • .83 • 46%

  28. FormativeClean Sheet – Practice – 1 of 3 • Write each fraction as a decimal (use long division). • 1/8 5/9 7 ½ • Write each decimal as a fraction. • .22 0.1 4.6

  29. Practice – 2 of 3 • Write each fraction as a percent. • ¼ 6/10 17/20 • Write each percent as a fraction. • 90% 75% 22%

  30. Practice – 3 of 3 • Write each percent as a decimal. • 27% 70% 6% • Write each decimal as a percent. • .95 .08 5.8

More Related