Question

Without actually performing the long division, state whether 105/
11200 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.​

Answer 1

Step-by-step explanation:

Without actually performing the long division, state whether 105/

11200 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Answer 2

AS FOR A DECIMAL EXPANSION OF A RATIONAL NUMBER TO BE TERMINATING, ITS DENOMINATOR SHOULD HAVE POWERS OF 2, 5 OR BOTH. IN 105/11200 , THE DENOMINATOR HAS POWERS OF BOTH 2 AND 5, SO IT WOULD BE A TERMINATING DECIMAL.