Question

Without actually pergirming long division method, state wheather 175/70 will have a terminanting decimal expansion or non termintaing repeating decimal expansion

Answer 1

Answer:

I) 543/250 = Denominator has 5^3 and 2 as a factor. So 543/250, has a terminating decimal representation. 

Answer 2

Answer

$\frac{175}{70} = \frac{7 \times 25}{2 \times 5 \times 7} \\ \\ = > \frac{25}{2 \times 5}$

Since, denominator is in the form:

${2}^{x} \times {5}^{y}$

It's terminating decimal