Floor mats in traditional Japanese homes are called Tatami Mats.
Tatami mat
Tatami.
In japan, mat is Tatami and we just call it Judo Tatami.
A Japanese sleeping mat is called a futon. A futon sits upon a woven mat called a tatami. These types of beds have been used for thousands of years of Japanese history.
If you are referring to the rice mats they use in the floor, it's tatami (畳)
Tatami
tatami
Tatami
Japanese straw mats are called 畳 (tatami) in Japanese. The pronunciation is somewhat like "tah-tah-me".
The name of any martial arts practice area is the dojo(pronounced du-jo). The floor of it is called tatami (pronounced tae-ta-mee)
It is called tatami and is used as a traditional floor covering. Common courtesy (unless stated otherwise) is to remove one's shoes before stepping on one.
The mats used in judo are called Tatami. Tatamis are traditionally 0.9x1.8m, and made of rice straws. Today, the tatamis are usually either 1x1, 1x1.5 or 1x2m, and made of compressed foam.