Question

without performing the long division state whether the rational numbers 125/44 will have a terminating decimal expansion or a non-terminating repeating decimal expansion​

Answer 1

Step-by-step explanation:

We have, 125 441 125441 and here the denominator is 441. ⇒ 441 = 32 x 72 We see that the denominator 441 of 125 441 125441 is not of the form 2m x 5n, where m, n are non-negative integers. Hence, 125 441 125441 has non-terminating repeating decimal expansion.