Complete the following activities involving modular arithmetic. Type your answers in the blanks. Separate multiple answers with a comma.
(a) List all possible digits mod 5 starting with the lowest and going to the highest. Remember to separate digits with commas. The possible digits of mod 5 are ____________.
(b) Convert 73 to a number mod 5. That is, find 73 mod 5. 73 mod 5 = ____________ mod 5.
(c) Convert -99 to a number mod 5. That is, find -99 mod 5. -99 mod 5 = ___________ mod 5.
(d) Add in the given modulus. Dont forget to reduce the answer. 2 mod 23 + 22 mod 23 = ___________ mod 23.
(e) Multiply in the given modulus. Dont forget to reduce the answer. (15 mod 19)(7 mod 19) = __________ mod 19.