Math Problem Statement
create a multiplication table for mod 4
Solution
Here is a multiplication table for mod 4:
\times_4 & 0 & 1 & 2 & 3 \\ \hline 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 3 \\ 2 & 0 & 2 & 0 & 2 \\ 3 & 0 & 3 & 2 & 1 \\ \end{array}$$ ### Explanation: In mod 4, after performing the multiplication, the result is taken modulo 4 (i.e., divided by 4 and the remainder is kept). Would you like further details or clarifications? --- Here are some related questions: 1. What is modular arithmetic and how does it work? 2. How would a mod 5 multiplication table look? 3. Can you explain the properties of modular arithmetic, such as closure, commutativity, and associativity? 4. How can modular arithmetic be applied in cryptography? 5. How does modular arithmetic differ from regular arithmetic? **Tip:** In modular arithmetic, you can reduce intermediate steps to avoid large numbers. Always reduce modulo at each step!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Multiplication Tables
Number Theory
Formulas
a * b (mod n)
Multiplication modulo formula: (a * b) mod n
Theorems
Modulo Operation
Properties of Modular Arithmetic: Commutativity, Associativity, Closure
Suitable Grade Level
Grades 6-8