The spelling of "that a fact" can vary depending on the dialect and pronunciation. In standard English, the correct spelling is "that's a fact," with an apostrophe to indicate the contraction of "that is." The IPA phonetic transcription for this phrase would be /ðæt͡s ə fækt/. The "th" sound at the beginning is represented by the symbol /ð/, while the short "a" sound in "that" is represented by /æ/. The word "fact" is pronounced with a short "a" sound as well, represented by /fækt/.
"That a fact" is a colloquial phrase that is often used in informal conversations or casual speech to express or affirm certainty or agreement about something. The expression is commonly used to assert that the information being discussed or the statement being made is unquestionably true or accurate. It is used as an emphatic affirmation of certainty.
The phrase can be seen as a shortened form of the statement "That is a fact" or "Is that a fact?", which are more formal forms of expression. However, in its abbreviated form, "That a fact" is typically used in a more laid-back and conversational manner.
When someone says "That a fact," they are typically seeking agreement from others or responding to a statement or assertion made by someone else. It is an idiomatic way of expressing confirmation or agreement without going into further discussion or debate.
This phrase can also be used sarcastically or skeptically to suggest doubt or disbelief, depending on the context and tone of the conversation. However, it is important to note that the phrase is most commonly used as a way to convey certainty or agreement in an informal setting.