Question

State whether

441

625

will have terminating decimal expansion or non-

terminating repeating decimal expansion.​

Answer 1

Question:-

State whether

$\frac{441}{625}$

will have terminating decimal expansion or non-

terminating repeating decimal expansion

Solution:-

If denominator can be expressed in

${2}^{n} \times {5}^{m}$

form then it is a terminating decimal,if not it is non terminating repeating decimal

$625 \: can \: be \: written \: as \: 5 \times 5 \times 5 \times 5$

$625 = {5}^{4}$

We can also write this as

$625 = {5}^{4} \times {2}^{0}$

So, it is terminating expansion