Question

S3. If the denominator of a fraction is a prime number, its decimal representation will always be a non-terminating decimal.' Verify this statement.

S4. If the denominator of a fraction is a composite number, its decimal representation will be a terminating decimal.' Verify this statement.

S5. Find the value of 16/45 without actually performing the operation of division if 1/45 = 0.022222.

S6. Find the values of 1/2 ,2/3 ,4/3 and 5/3 . Can you guess the decimal value of 11/3 based on the observations made from the first part of the question ? Give reasons .

S7. Find the value of 1/4 , 2/4 , and 4/3. Can you guess the decimal value of 11/4 without evaluating the expression?
Justify your answer.

S8. Find the value of 1/17 .Then, find the values of 2/17 ,4/17 and 8/17 .

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Answer 1

Answer:

— , denominator has only prime factor 2 in its prime factorization, hence this fraction will be terminating decimal. All other fractions (after ...

Answer 2

if the denominator of a fraction is a prime number its decimal representation will always be a non terminating decimal verify the statement