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Converting Decimals: Terminating and Repeating

turn decimals into fractions<br>simplifying fractions

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Converting Decimals: Terminating and Repeating

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  1. HAPPY • 2-22-22 • TWOSDAY

  2. Directions to the activity: Each table: • Gets one paper. • Cut out the squares. • Evenly distribute the cards to everyone at your table. • Divide the cards into true and false piles. • With the true cards,Flip them over to unscramble to see if your table can find the code. Activity on Practicing Skill

  3. Let’s Review Some Really Old Stuff… Click here for video! https://www.youtube.com/watch?v=qesj2jpktaE

  4. What about repeating decimals? https://www.youtube.com/watch?v=xX1sqV1nSAQ

  5. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  6. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  7. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  8. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  9. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  10. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  11. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  12. Pattern time 1_ 9 1_ 10 .1= ____ .111…= ____ .3= ____ .333…= ____ .4= ____ .444…= ____ .5= ____ .555…= ____ .6= ____ .666…= ____ .2= ____ .222…= ____ 2_ 9 2_ 10 3_ 9 3_ 10 4_ 9 4_ 10 5_ 9 5_ 10 6_ 9 6_ 10

  13. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  14. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  15. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  16. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  17. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  18. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  19. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  20. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  21. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  22. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  23. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  24. Pattern time 12 99 12_ 100 .12= ____ .121212…= ____ .33= ____ .333…= ____ .44= ____ .444…= ____ .55= ____ .555…= ____ .66= ____ .666…= ____ .22=____ .222…= ____ 22_ 99 22_ 100 33 99 33 100 44_ 99 44_ 100 55_ 99 55_ 100 66_ 99 66_ 100

  25. # 99 # 999 # 9999 # 9

  26. When writing a repeating decimal, you need to find the repeating number. Write that in the numerator. (top of fraction) Determine what place value it is on the decimal place value chart Subtract 1 from that place value; normally results in a # with 9(s); just need to find out how many to put down in the denominator. (bottom part of the fraction) Then simply to smallest fraction if needed.

  27. Let’s practice these: • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018

  28. Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  29. Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  30. Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  31. Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  32. Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  33. KEY Let’s practice these: 2 99 • 0.63 2.) 0.2 3.) 0.72 4.) 0.79 5.) 0.05 6.) 0.018 63 = 7 99 11 72 = 8 99 11 79 99 18 = 2 = 1 999 100 50 5 99

  34. 0.783

  35. Drag & Drop

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