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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
1.27 Writing Mixed Recurring Decimal into Rational Number Form - I

Example: Convert 0.537 into a rational number form.
Solution:
Let x = 0.537 .......I
There are one digit in the non-recurring part and two digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 101+2 = 103 = 1000. We get,
1000x = 537.37.....II
There are one digit in the non-recurring part of the decimal. Hence multiplying both sides of equation I by 10 we get,
10x = 5.3737.....III
Subtracting III from II, we get
990x = 532
x = 532/990
x = 266/495

Directions: Convert the given mixed recurring decimal into rational number form. Show your work. Also write at least five examples of your own.
Q 1: Convert 0.513 into rational number form.
508/990
450/330
250/330

Q 2: Convert 0.156 into rational number form.
250/330
450/990
31/198

Q 3: Convert 0.956 into rational number form.
250/198
947/990
450/330

Q 4: Convert 0.231 into rational number form.
229/990
450/330
275/330

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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