Final answer:
The synonyms for 'erroneously' in the passage are 'incorrectly' and 'mistakenly', as they imply actions taken in error. Words like 'inconsequentially', 'extraneously', and 'exceptionally' do not align with the meaning of 'erroneously'.
Step-by-step explanation:
The synonyms for "erroneously" as used in the passage are incorrectly and mistakenly. The word 'erroneously' implies that something was done in a way that was not correct or right. Therefore, when making a selection of synonyms from the provided list, those words that convey the meaning of having done something in a mistaken or inaccurate manner are the correct choices.
Inconsequentially, extraneously, and exceptionally do not fit as synonyms for 'erroneously'. 'Inconsequentially' refers to something unimportant; 'extraneously' means not being a necessary or vital part; and 'exceptionally' means extraordinarily or unusually good.
It is also important to verify the spelling of words carefully, and to use spell check applications critically, because they may not always provide correct suggestions or recognize all misspellings.