Question

HAS THE RATIONAL NUMBER 441/2^2*5^7*7^2, A TERMINATING OR NON TERMINATING DECIMAL REPRESENTATION?

Answer 1

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= 441 / ( 2^2  *  5^7  * 7^2 )

= ( 3^2  *  7^2 ) / ( 2^2 * 5^7 * 7^2 )

= 3^2 / ( 2^2  *  5^7 )

Since the denominator of this rational number is in the form of 2^ m * 5^n,so it will have terminating decimal representation.

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Answer 2

the deno is 2^3×7^2×5

since it has 7 in deno and not in the form of 2^m ×5^n and the numerator ha 441=7×7×3×3

when we simplify it we get 3^2 by 2^3×5

hence it is a terminating decimal