linguistics1-4  Exercise 1: Dividing Words into Morphemes
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  unhappiness    un-      prefix   derivation   (not)
                 happy    root
                 -ness    suffix   derivation   (state of being; makes a noun)
                 (the y of "happy" becomes i in writing; this is spelling, not a
                 change of morpheme)

  teachers       teach    root
                 -er      suffix   derivation   (person who does it; verb -> noun)
                 -s       suffix   inflection   (plural)

  disagreements  dis-     prefix   derivation   (opposite of)
                 agree    root
                 -ment    suffix   derivation   (result of; verb -> noun)
                 -s       suffix   inflection   (plural)

  rewriting      re-      prefix   derivation   (again)
                 write    root
                 -ing     suffix   inflection   (progressive or gerund form)

  malbonega      mal-     prefix   derivation   (opposite of)
  (Esperanto)    bon      root                   (good)
                 -eg-     suffix   derivation   (very big, intensifying)
                 -a       ending   inflection-like grammatical ending (marks an
                                    adjective; in Esperanto every word class has
                                    its own ending)
                 Meaning: "terrible, awful" (the opposite of good, intensified).

  házaimban      ház      root                   (house)
  (Hungarian)    -ai-     suffix   inflection   (more than one thing possessed)
                 -m       suffix   inflection   (my)
                 -ban     suffix   inflection   (in)
                 Meaning: "in my houses". All four pieces are grammatical, so
                 this is a word with one root and three inflectional suffixes.

Pattern to notice: the English words use derivation closer to the root and
inflection outermost (teach-er-s). Hungarian packs several inflectional
pieces into one word, each with a single clear meaning.