Question

17 × 13 = 13 × 17
which property does this demonstrate?
identity property
associative property
commutative property

Explanation:

Step1: Recall Property Definitions

• Identity Property: For multiplication, \(a\times1 = a\) (or \(1\times a=a\)), involving the number 1.
• Associative Property: For multiplication, \((a\times b)\times c=a\times(b\times c)\), involving grouping of numbers.
• Commutative Property: For multiplication, \(a\times b = b\times a\), involving order of numbers.

Step2: Analyze Given Equation

The equation \(17\times13 = 13\times17\) shows that the order of the two numbers being multiplied is swapped, but the product remains the same. This matches the definition of the Commutative Property of Multiplication.

Answer:

C. Commutative Property