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### Grade 8 - Mathematics1.24 Writing Pure Recurring Decimal into Rational Number Form - I

 Procedure: Remove the decimal point and write the recurring part as the numerator. In the denominator, write as many nines as the numbers in the recurring part. Write the fraction in its lowest terms. Example: Convert 0.3 into a rational number form. Solution: Let x = 0.3 This means x = 0.3333........ I There is one digit in the recurring decimal part. Hence multiplying both sides by 10. 10x = 03.33.......II Subtract I from II, we get 9x = 3 x = 3/9 = 1/3 0.3 = 1/3 Directions: Prove the procedure described above. Convert the given recurring decimal into rational form. Also write at least ten examples of your own.
 Q 1: Convert 0.6 into a rational number form.2/95/92/34/9 Q 2: Convert 0.2 into a rational number form.4/92/92/35/9 Q 3: Convert 0.9 into a rational number form.9412 Q 4: Convert 0.8 into a rational number form.4/98/94/32/3 Q 5: Convert 0.5 into a rational number form.4/95/91/33/9 Q 6: Convert 0.1 into a rational number form.2/95/991/9 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!