# Properties of Normal Numbers

I found these two properties of normal numbers on the Wikipedia page for "normal numbers", but I can't find any other source for them. I was wondering if they were in fact true, and if somebody could give me a hint on how to prove them.

1. Any number is the product of two absolutely normal numbers.
2. If $$x$$ is normal in base $$b$$, and $$q \neq 0$$ is a rational number, then $$x\cdot q$$ is normal in base $$b$$.

I was thinking that 1 could sort of follow from Borel's proof that almost every real number is normal. However I'm not sure about the second.