G8

(Amit KumaranZ9-e) #1

Copyright © Swun Math (^) Grade 8 Unit 1 Lesson 1 C TE


Input/Model


(Teacher Presents)


Directions: Convert each fraction to a decimal. Determine if repeating or terminating. If it’s


repeating, describe the pattern.






1


4


Solution:


  • 14 is the same as 1 ÷ 4

  • Rewrite in long division form and divide.

  • Continue 6 places

  • 14 = 0. 25; it is terminating decimal

  • Therefore,^1
    4


i s rational.





3


11


Solution:


  • Do the long division for 3 ÷ 11.

  • Notice the 27 is repeating, so stop the dividing after 6 places to the right of the decimal.



(^3) 0.272727...
11 = or 0.



  • Repeating pattern is 27

  • Therefore,^3
    11


is rational.
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