Which equations demonstrate the associative property? Equation 1: \( (12-6)-3=12-(6-3) \) Equation \( 2:(12 \times 6) \times 3=12 \times(6 \times 3) \) Equation \( 3:(12+6) \times 3=12+(6+3) \) Equation 4: \( (12+6)+3=12+(6+3) \) [mark all correct answers] a. Equation 1 b. Equation 2 c. Equation 3 d. Equation 4

The associative property states that the way in which numbers are grouped in an expression does not change their result, but it only applies to addition and multiplication, not to subtraction. With that in mind, let's evaluate the equations: - Equation 1: \((12-6)-3=12-(6-3)\) involves subtraction; thus, it doesn't demonstrate the associative property. - Equation 2: \((12 \times 6) \times 3=12 \times(6 \times 3)\) involves multiplication and demonstrates the associative property. - Equation 3: \((12+6) \times 3=12+(6+3)\) is improperly structured; the left side involves multiplication, which can't be reorganized into addition on the right side, so it doesn't show the associative property. - Equation 4: \((12+6)+3=12+(6+3)\) correctly showcases the associative property for addition. So, the correct answers are: b. Equation 2 d. Equation 4