Place your tongue tip between or behind your front teeth, turn your vocal cords on, and push air through the gap.
How to pronounce that in American English
Americans pronounce that as DHAT (/ðæt/). The TH in "that" can be produced with the tongue tip pressing just behind the upper teeth rather than coming all the way through — an easier, faster articulation. This is called the Quick TH (the, this, that), how Americans collapse little words. It comes out as DHAT. You'll hear it in sentences like "That man is very sad" or "That is the other one" — more examples below.
Now you try.
Record yourself saying "that" and play it back. The mic stays on your device — nothing's uploaded.
Every sound in "that".
1 syllable, 3 sounds. Explore each sound's mouth shape and how it's made.
Drop the jaw noticeably. Keep the body of the tongue low and forward, and don't let the back of the tongue raise toward the soft palate. Pull the lip corners back slightly, almost a starting smile.

Touch the tip or front edge of your tongue to the roof of your mouth just behind your teeth. Keep your jaw relaxed. Stop the air, then release with a puff.

Hear "that" in the wild.
Click any sentence to see the full breakdown — every link, every reduction, every flap-T.
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Common pronunciation mistakes in American English.
The textbook way isn't wrong — it's just not how anyone actually says it.
Releasing the final consonant with a puff of air.
In "that", the "t" is not released — the articulators get into position but hold without the burst of air. Air stops but there's no release burst — the articulators hold position.