@paok1970,
In addition to being a plural of single dollars, five dollars is a common banknote in the United States, as well as in Canada.
Rather than saying "a five dollar bill," native speakers in North America will just say "five dollars."
The Canadians have very many different versions of the five dollar bill. This is one which promotes a Canadian stereotype:
By the way, one would not say "that" five dollars, if one were treating it as a plural, because that is the singular form. One would say "those" five dollars. Or, one might say a fin, which is old-fashioned American slang for a five dollar bill. At one time, American banknotes had the denominations in Roman numerals, and a five in Roman numerals is "V" which might remind one of the fin of a fish. So, "fin" became slang for a five dollar bill. This banknote below, showing General George Henry Thomas, has the Roman numeral "V"--five--in the upper left-hand corner: