$\frac{47}{500}$ has $\ldots$ digits after the decimal point in its terminating decimal expansion.

Why is $7 \times 11 \times 13 + 13$ a composite number? Explain.

$\frac{p}{q}$ is a rational number and for non-negative integers $m$ and $n$,$q = 2^{m} 5^{n}$ if and only if the decimal form of $\frac{p}{q}$ is $\ldots \ldots \ldots \ldots$

$(\sqrt{3}+2)^{2} = \dots$

The numbers in the form $3k \pm 1$ $(k \in Z)$ are $\ldots \ldots \ldots . .$

If $\text{g.c.d.}(336, 52) = 4$,then $\text{l.c.m.}(336, 52) = \dots$