2006-08-14 16:43:32 · 6 answers · asked by sandy v 1 in Science & Mathematics ➔ Mathematics
373 mod 5 = 3
The definition of a modulus operation is as follows:
Given a nonnegative integer n and a positive integer d,
"n mod d = the integer remainder obtained when n is divided by d."
Symbolically, if n and d are positive integers then "n mod d = r". This can be expressed as "n = dq + r" where q and r are integers and 0 is <= r < d.
So for M(373,5) expressed as 373 mod 5 is:
373 = 5*54+3 or
373 / 5 = 74 + 3. Since 3 is the remainder.
373 mod 5 = 3.
The remainder is the completed value of the modulus operation.
Similarly, another example is 32 mod 9. Where 32 divided by 9 gives us a remainder of 5. so 32 mod 9 = 5.
The modulus operator is typically represented as %. Such that, 32 mod 9 is 32%9.
Additional examples:
26 mod 5 = 1
34 mod 5 = 4
2006-08-14 16:51:50 · answer #1 · answered by tarotaro8 2 · 0⤊ 0⤋
Modulus just means integer remainder after division. In the form you've written it, M(373,5) it would be read as "373 mod 5" and calculated as the remainder when 373 is divided by 5 ==> 373/5 = 74 remainder 3 and so
M(373,5) = 3
Other examples
M(27,5) = 2
M(40,8) = 0
M(57,7) = 1
etc.
Doug
2006-08-14 23:54:20 · answer #2 · answered by doug_donaghue 7 · 1⤊ 0⤋
373 mod 5 = 3
2006-08-14 23:51:48 · answer #3 · answered by Anonymous · 0⤊ 0⤋
3 I agree - it is the remainder of 373/5.
2006-08-14 23:53:43 · answer #4 · answered by Captain_Ahab_ 3 · 0⤊ 0⤋
375 mod 5 = 0
oops...helps if I can read. yes, the above answers are right, 373 mod 3 = 3
2006-08-14 23:53:06 · answer #5 · answered by a_liberal_economist 3 · 0⤊ 0⤋
3
just the remainder of division. At least thats what it is in computer science.
when ur doing mod 5 just look at the last number if its between 1-4 then thats the answer. if its 5 its 0 and 6,1 7,2 8,3.....
2006-08-14 23:53:00 · answer #6 · answered by locomexican89 3 · 0⤊ 0⤋