Decimal Expansion
Decimal Expansion
Decimal Expansion : When we convert a fraction in the decimal expansion.
Solution On dividing 5 by 16.
(ii) we divide 17 by 8.
We note that if the denominator in the lowest form has some prime factors other than 2 or 5 then it cannot be expressed as a terminating decimals.
Inserting Irrational Numbers Between two Numbers: We can write any non terminating non recurring decimals between those numbers.
Example: Insert three rational numbers between 0.2 and 0.3.
Solution: Three rational numbers between 0.2 and 0.3
0.2101001000...., 0.211011001100011...., 0.21100110001100001111....
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