
das
the
Definite article that accompanies a neuter noun in the singular nominative or accusative.
Das Kind liest das Buch.
The child is reading the book.
the / that
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the
Definite article that accompanies a neuter noun in the singular nominative or accusative.
Das Kind liest das Buch.
The child is reading the book.

that
Demonstrative pronoun that refers to a thing, a circumstance, or the content of an entire sentence.
Er hat sich entschuldigt. Das finde ich gut.
He apologized. I think that is good.

that / which
Relative pronoun that introduces a subordinate clause and refers to a neuter noun in the singular.
Hier ist das Foto, das ich dir zeigen wollte.
Here is the photo that I wanted to show you.

that
Colloquial or dialectal variant of the conjunction 'dass' (that).
Ich hoffe, das du bald wieder gesund bist.
I hope that you are healthy again soon.
A common mistake is confusing 'das' (the/that/which) and 'dass' (that). A simple rule: if you can replace 'das' with 'dieses' (this) or 'welches' (which), it is written with one 's'. If not, it is the conjunction 'dass'.
Das Haus, das dort steht, ist alt.
The house that stands there is old.
The article 'das' (the) for neuter nouns has the same form in the nominative and accusative. You do not need to change the article in these two cases.
Das Auto ist neu.
The car is new.
As a demonstrative pronoun, 'das' (that) can refer to an entire situation or to the content of a previous sentence. It summarizes the idea.
Sie hat die Prüfung bestanden. Das freut mich sehr für sie.
She passed the exam. I am very happy about that for her.
When 'das' (that/which) introduces a relative clause for a neuter noun, the conjugated verb always comes at the end of the clause.
Ich lese gerade das Buch, das du mir empfohlen hast.
I am currently reading the book that you recommended to me.
Using 'das' instead of the conjunction 'dass' (that) is purely colloquial. In written texts and in formal situations, this is a mistake.
Er sagt, das er später kommt.
He says that he is coming later.
the
Der and das can both accompany a specific singular noun, but der is used with a masculine noun and das with a neuter noun. So check the gender: der Tisch, but das Fenster.

Das Fenster steht neben dem Tisch.
The window is next to the table.
Der Tisch steht neben dem Fenster.
The table is next to the window.