Question

write the following in decimal form and say what kind of decimal expansion

Answer 1

3/13
Means to devide 3 by 13 so the answer will be 0.23
And then 329 /400 will be 0.8225

Answer 2

$1) \frac{3}{13} = non \: \: terminating \: repeating \: decimal \: expansion \\ 2) \frac{329}{400} = \frac{329}{2 \times 2 \times 2 \times 2 \times 5 \times 5} \\ = \frac{329}{ {2}^{4} \times {5}^{2} } \\ this \: is \: terminating \: decimal$
note: just check the denominator,if it is in the powers of 2 and 5,then it is terminating decimal,otherwise non terminating repeating decimal