Quiz 4 (Mathematical System)

Master modular arithmetic with engaging worksheets and practice problems on modulo, remainders, and congruence.

5(mod 3) 2 1 8 For Modular Arithmetic what value is the most important? The Modulo The Remainder The Given Number The Divisor What is 7 mod 3? 1 mod 3 3 mod 3 2 mod 3 0 mod 3 What is 57 mod 7? 0 mod 7 7 mod 7 1 mod 7 -1 mod 7 What is 99 mod 100? 99 mod 100 1 mod 100 100 mod 99 100 mod 1 What is 14 mod 12? 1 3 2 4 What is 5 mod 4? 1 2 3 4 What is 100 mod 100? 50 0 1 99 What is 18 mod 4? 0 2 1 4 What is 12 mod 12? 1 2 0 12 18 ≡ ? (mod 10) 8 13 - 3 ≡ ? (mod 8) 2 4 + 14 ≡ ? (mod 4) 2 1 - 7 ≡ ? mod 4 2 6 ≡ ? (mod 3) 0 Modular Multiplication Complete the table for Z10,⊗. ⊗10 0 1 2 3 4 5 6 7 8 9 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 2 0 2 4 6 8 0 2 4 6 8 3 0 3 6 9 2 5 8 1 4 7 4 0 4 8 2 6 0 4 8 2 6 5 0 5 0 5 0 5 0 5 0 5 6 0 6 2 8 4 0 6 2 8 4 7 0 7 4 1 8 5 2 9 6 3 8 0 8 6 4 2 0 8 6 4 2 9 0 9 8 7 6 5 4 3 2 1