Question

Drag and drop. Indicate whether each equation represents the commutative property or the associative property. (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Response area a ⋅ b = b ⋅ a Response area a + (b+c)=(a+b)+c Response area a+b=b+a Response area a ⋅ (b⋅c)=(a⋅b)⋅c

Answer 1

Here are the correct designations for each equation based on the properties they represent:

1. Commutative Property

   • a ⋅ b = b ⋅ a
   • a + b = b + a

2. Associative Property

   • a + (b + c) = (a + b) + c
   • a ⋅ (b ⋅ c) = (a ⋅ b) ⋅ c

You can drag or drop the equations to their respective areas based on these categorizations.