Question

is 32.1234567,0.123123312333.....,56. 32519 bar are ratinal or not also they can be represent in the form of p/q or not ​

Answer 1

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● 32.1234567 Is a Rational Number as it can be represented in the form of p/q where p and q are integers and q is not equal to zero.

☆ 32.1234567 in p/q form:-

321234567/10000000.

Add number of zeroes which is eqaul to no. of digits after point as in the above case thre are 7 digits after point so we had added 7 zeroes after 1.

● 0.123123312333..... Is not a Rational Number as it is a non terminating and non repeating number. Also it cant be represented in the form of p/q.

● 56.32519 is a rational number as it is a repeating number and can be represented in the form of p/q.

● To represent 56.32159 in p/q form follow the steps:-

Let 56.32159 bar be x.

=》 x = 56.32159.

=》 100000×x = 100000×56.32159.

=》 100000x = 5632159.32159.

=》 100000x-x = 5632159.32159-56.32159.

=》 9999x = 5632103.

=》 x = 5632103/9999.

=》 56.32159 bar = 3562103/9999.

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