Naming the property

Exercise and reference answers

Questions

1. Question

   (a × b) × c = a × (b × c) shows

   Choices

   1. associativity
   2. commutativity
   3. closure

   Correct choice

   associativity

2. Question

   a × b = b × a shows

   Choices

   1. associativity
   2. commutativity
   3. distributivity

   Correct choice

   commutativity

3. Question

   a(b − c) = ab − ac shows

   Choices

   1. closure
   2. identity
   3. distributivity

   Correct choice

   distributivity

4. Question

   The sum of two rationals being rational shows

   Choices

   1. closure
   2. commutativity
   3. identity

   Correct choice

   closure

Explanation