What is My Two Cents?
1.
An inconsequential opinion or comment given to another person on a particular topic. Not because it was warranted, but because the giver felt compelled to say it, regardless of its relevance.
Say two professors are in a deep discussion on Super String Theory, then a undergraduate student pipes in and says something just to be a part of the conversation, with out any real knowledge of the subject. That would be consider "throwing in your two cents."
See
2.
A bastardization of "My Two Bits"
The phrase to give ones opinion was orininally 'My Two Bits'... but has been incorrectly proliferated as 'My Two Cents.'
Person 1: "Thats is just my two cents"
Person 2: "You mean, 'My Two Bits' you moron... by misquoting the phrase, you illustrate just how stupid your opinion is anyways."
See
3.
Meaning
"I have just thrown in my opinion on racism/abortion/gun control/women's rights, there is a good chance you think it is biased, so when you tear it apart, please be kind, and don't go OTT, please!"
I'm pro life and choose to kill abortion doctors to save the lives of kids, so their mothers can hate and beat them. I think abortion is bad. That is my two cents.*
*Edited for clarity and conciseness.
See