What is "thank offering"

thank \thank\ (th[a^][ng]k), n.; pl. thanks (th[a^][ng]ks). [AS. [thorn]anc, [thorn]onc, thanks, favor, thought; akin to OS. thank favor, pleasure, thanks, D. & G. dank thanks, Icel. [thorn]["o]kk, Dan. tak, Sw. tack, Goth. [thorn]agks thanks; -- originally, a thought, a thinking. See Think.] A expression of gratitude; an acknowledgment expressive of a sense of favor or kindness received; obligation, claim, or desert, or gratitude; -- now generally used in the plural. ``This ceremonial thanks.''
--Massinger.

If ye do good to them which do good to you, what thank have ye? for sinners also do even the same.
--Luke vi. 33.

What great thank, then, if any man, reputed wise and constant, will neither do, nor permit others under his charge to do, that which he approves not, especially in matter of sin?
--Milton.

Thanks, thanks to thee, most worthy friend, For the lesson thou hast taught.
--Longfellow.

His thanks, Her thanks, etc., of his or her own accord; with his or her good will; voluntary. [Obs.]

Full sooth is said that love ne lordship, Will not, his thanks, have no fellowship.
--Chaucer.

In thank, with thanks or thankfulness. [Obs.]

Thank offering, an offering made as an expression of thanks.

n. an offering made as an expression of thanks

The thank offering ( Hebrew: תֹּודָה, pronounced Todah) or sacrifice of thanksgiving (Hebrew zevakh hatodah זֶבַח הַתֹּודָה ) was an optional offering under the Law of Moses. This is also termed the "thanksgiving offering."

The Hebrew noun todah "thanksgiving" is derived from the Hiphil of the verb yadah "to praise." In Psalm 107:22 and elsewhere no physical offering, only praise, is implied.