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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
6.8 Writing Pure Recurring Decimal into Rational Number Form - III

Procedure:
  1. Let the given decimal be equal to 'x'.
  2. If there are 'm' digits in the recurring part of the decimal, multiply both sides of the equation by 10m.
  3. From the result equation subtract the original equation.
Example: Convert 5.56 into a rational number.

Solution:Let x = 5.56...........I
There are two digits in the recurring decimal part, hence multiplying both sides by 100.
100x = 556.5656......II
Subtracting I from II, we get,
99x = 551
x = 551/99

Directions: Convert the given recurring decimal into rational form.

Q 1: Convert 6.515151..... into rational number form.
215/33
450/99
250/33

 Q 2: Convert 6.151515..... into rational number form.
450/99
230/33
203/33

Q 3: Convert 5.989898..... into rational number form.
593/99
550/990
250/99

 Q 4: Convert 9.56565656..... into rational number form.
560/99
947/99
450/33

Q 5: Convert 4.121212..... into rational number form.
450/99
260/33
136/33

 Q 6: Convert 8.191919..... into rational number form.
275/33
450/33
811/99

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 Question 8: This question is available to subscribers only!


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