Some synagogues, but not all, incorporate the Ten Commandments, or some symbolic representation, in the design or decoration of the building's exterior, interior, or sanctuary; but there is no religious commandment to do so. It is perfectly acceptable if the Ten Commandments are only found within the text of the Torah, either in the scroll kept in the ark, or in the books used during some services, that contain the Torah's text.
They can be displayed anywhere in the synagogue (often they're over the Holy Ark, or embroidered on its curtain).
The original Commandments - carved onto tablets of stone - were kept in the Ark of the Covenant.
These are common: a menorah (7 branch candelabra), and/or a representation of the Asseret HaDibrot (Ten Commandments) in a synagogue.
The Ten Commandments are traditionally kept in the Ark of the Covenant. According to biblical accounts, they were inscribed on two stone tablets given to Moses on Mount Sinai.
The first time it was recorded was with Moses, but there is evidence that the ten commandments were given before that. For instance, the bible tells us that the people kept the sabbath before the ten commandments were given.
A good place to begin a search for an answer is Exodus chapter 20, especially the beginning of the chapter, where the first of the Ten Commandments is stated.
Exodus, the giving away of the Ten commandments, construction of the Temple at Jerusalem and the worship in Synagogue after the return of the Jews from Babylon etc.,
The stones with the Ten Commandments are believed to be located in the Ark of the Covenant, which according to the biblical account, was kept in the inner sanctum of the Tabernacle and later in the Temple of Jerusalem. However, the physical whereabouts of the Ark and the stones are unknown.
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Peter O'Toole was not in "The Ten Commandments".
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The Ten Commandments in Filipino is translated as "Sampung Utos."