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Number Systems - Recurring Decimals

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Part 1 - Number Systems Introduction - Text - Slides
Part 2 - Number Systems - Terminating Decimals - Text - Slides

What are Recurring Decimals
The rational numbers for which quotient repeats  after a finite number of steps are known as recurring decimals. Decimal expansion goes  for ever.

Example : 1/9  = 0.11111….    =  0.1, 1.23232323….= 1.23



Questions :
Represent  1/3 in decimal form
Represent  3/13 in decimal form   [NCERT]
Represent  192/330 in decimal form



NUMBER SYSTEMS RECURRING DECIMALS EXAMPLES

Conversion of  Decimal into p/q form:

Express the below in p/q form:
  • 0.545
  • 0.034589
  • 1.23
  • Express in p/q form:0.3
  • Express in p/q form: 0.001[NCERT]
  • Express in p/q form  0.47 [NCERT]
NUMBER SYSTEMS RECURRING DECIMALS NCERT

CONVERTING DECIMALS INTO RATIONAL NUMBERS