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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
1.15 Writing Mixed Recurring Decimal into Rational Number Form - III

Example: Convert 9.33586 into a rational number form.
Solution:Let x = 9.33586.......I There are two digit in the non-recurring part and three digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 102+3 = 105 = 100000. We get,
100000x = 933586.586.....II
There are two digit in the non-recurring part of the decimal. Hence multiplying both sides of equation I by 100 we get,
100x = 933.586.....III
Subtract II from III, we get
99900x = 932653
x = 932653/99900

Directions: Using the above method, convert the given mixed recurring decimal into rational number form. Also write at least five examples of your own.
Q 1: Convert 7.15164 into rational number form.
24508/99900
714449/99900
4562/3330

Q 2: Convert 8.12462 into rational number form.
5411/666
156324/99990
154692/9990

Q 3: Convert 9.41423 into rational number form.
52249/5550
4500/9990
2500/3300

Q 4: Convert 4.15345 into rational number form.
13831/3330
8450/9990
2450/3300

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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