how will you distinguish rational and irrational no through decimal form
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rational number will be in the form of p/q(ex.1.5,2.4)
irrational number will be in the form of decimal form there will be repeating one(ex:1.212121........)
irrational number will be in the form of decimal form there will be repeating one(ex:1.212121........)
ishansoni:
Sorry dear explain it.
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On the basis of decimal expansion we can distinguish irrational and rational nos.
Rational Nos. = If the decimal expansion is terminating i.e. it ends after a particular period of digits then it is said to be rational no. (Ex: 3.5, 2.15245)
If the decimal expansion is non terminating i.e. it doesn't ends after period of digits but repeating, then it is said to be a rational no. (Ex: 2.3535... , 1.2121..)
Irrational Nos= If the decimal expansion is non terminating and non repeating than the no is said to be irrational.
(Ex= 2.01001001... 5.212212221....)
Remember: In non terminating digits it is necessary to put elipses after a certain pair of digits. If you do not put it then it is considered as a rational no.
Rational Nos. = If the decimal expansion is terminating i.e. it ends after a particular period of digits then it is said to be rational no. (Ex: 3.5, 2.15245)
If the decimal expansion is non terminating i.e. it doesn't ends after period of digits but repeating, then it is said to be a rational no. (Ex: 2.3535... , 1.2121..)
Irrational Nos= If the decimal expansion is non terminating and non repeating than the no is said to be irrational.
(Ex= 2.01001001... 5.212212221....)
Remember: In non terminating digits it is necessary to put elipses after a certain pair of digits. If you do not put it then it is considered as a rational no.
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