Question

9
7
6. Look at several examples of rational numbers in the form 2 (q+0), where p and qu
integers with no common factors other than 1 and having terminating decima
representations (expansions). Can you guess what property q must satisfy?
7. Write three numbers whose decimal expansions are non-terminating non-recurrin,​

Answer 1

6. The property that q must satisfy in order that the rational numbers in the 

from qp , where p and q are integers with no 

common factor other than 1, have maintaining decimal representation is 

prime factorization of q has only powers of 2 or power of 5 or both . 

i.e 2m×5n , where m=1,2,3,⋯ or n=1,2,3,⋯

7. So, we had to write three irrational numbers. So, examples of irrational numbers are√2,π and √3. ... And decimal expansion of π is 3.141592653589……. Hence, decimal expansion of √2,π and √3 are non-terminating and non-recurring.

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