The difference between As a matter of fact and Honestly
As a matter of fact is also phrase with the meaning: actually, in fact.
Honestly is also adverb with the meaning: in an honest manner.
check bellow for the other definitions of As a matter of fact and Honestly
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Honestly as an adverb (manner):
In an honest manner.
Examples:
"usex He answered the questions honestly."
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Honestly as an adverb (speech act):
Frankly, to be honest.
Examples:
"usex Honestly, I didn't believe a word she said."