Question

Check whether 75/455 is terminating or non-terminating

decimal expansion and pls show how you solve it this is my homework pls guys​

Answer 1

 75/ 455

=0 .164835164835..

it is non  -terminating and repeating decimal expansion

Answer 2

75/455 is a non-terminating decimal expansion.

Given,

A rational number is 75/455.

To find,

Whether it is terminating or non-terminating decimal expansion.

Solution,

Given rational number=75/455

Divide 75 by 455.

We will find that we get a never-ending term.

The quotient will seem like 0.16483516484.

When we get such numbers as quotient, we call it a none terminating decimal expansion.

So, 75/455 is a none terminating decimal expansion.

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