The decimal expansion of the rational number will terminate after :
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Answer:
The decimal expansion of the rational number 43(24. 53) will termiate after how many places of decimals. So, it will terminate after 4 places of decimals.
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Which rational number please specify
Method
Factorise denominator
Count no multiples of 2 say m
Count no of multiples of 5 say n
Their is no multiple of 3,7,13 etc
And m>n then m decimals else n
And denominator has 3,7,11,13 —— etc
Than non terminating repeating
For example
17/20
Factors of 20 are 2,2,5
So 2 places of decimal .85
Method
Factorise denominator
Count no multiples of 2 say m
Count no of multiples of 5 say n
Their is no multiple of 3,7,13 etc
And m>n then m decimals else n
And denominator has 3,7,11,13 —— etc
Than non terminating repeating
For example
17/20
Factors of 20 are 2,2,5
So 2 places of decimal .85
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