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.