Question

Has the rational number 441÷2^3×5^7×7^2 a terminating or a non-terminating decimal representation

Answer 1

= 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.