Status: Tags: #archivedCards/macm101/numbertheory Links: Division
Division Algorithm
Theorem
? Let a be an integer and d a positive integer. Then there are unique integers q, and r, with 0<= r < d such that a = dq + r
- d is divisor
- a is dividend
- q is quotient
- r is remainder
Division algorithm when a = 101 and d = 11 ?
- Then 101 = 11 x 9 + 2
Division algorithm when a = -11 and d = 3 ?
- Then -11 = 3 x (-4) + 1
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Created:: 2021-11-25 15:31