I am currently wondering what is the difference between the two. When I used both they seem to break the word if it is not fitting the container. But why did W3C made two ways to do it?
The W3 specification that talks about these seem to suggest that
word-break: break-all is for requiring a particular behaviour with CJK (Chinese, Japanese, and Korean) text, whereas
word-wrap: break-word is the more general, non-CJK-aware, behaviour.