Which of the following is NOT a property of modular arithmetic?

Practice Questions

Q1
Which of the following is NOT a property of modular arithmetic?
  1. Closure
  2. Associativity
  3. Distributivity
  4. Non-commutativity

Questions & Step-by-Step Solutions

Which of the following is NOT a property of modular arithmetic?
  • Step 1: Understand what modular arithmetic is. It involves numbers wrapping around after reaching a certain value called the modulus.
  • Step 2: Learn about the properties of modular arithmetic. These include commutativity, associativity, and distributivity.
  • Step 3: Commutativity means that the order of numbers does not matter in addition and multiplication. For example, a + b = b + a.
  • Step 4: Check if modular arithmetic is commutative. It is, for both addition and multiplication.
  • Step 5: Identify what non-commutativity means. It means that the order of numbers does matter.
  • Step 6: Since modular arithmetic is commutative, non-commutativity is NOT a property of modular arithmetic.
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