Nick solved the equation (3×2)×6

. Then he used to Associative Property to write a second equation. Which could be Nick's second equation?

(1 point)
Responses

3×(2×6)
3 × 2 × 6

(3×2)+(3×6)
3 × 2 + 3 × 6

3×(6×2)
3 × 6 × 2

(2×3)+(3×2)

1 answer

Nick's second equation, based on using the Associative Property, would involve regrouping the numbers in the original equation without changing the product.

The original equation Nick solved is \((3 \times 2) \times 6\). Using the Associative Property, he can regroup the numbers as follows:

  1. \(3 \times (2 \times 6)\)
  2. \(3 \times 2 \times 6\) (which works but is not a different equation)
  3. (Others do not represent regrouping)

Among the options provided, the correct one that uses the Associative Property is:

3 × (2 × 6)

This option shows the numbers being regrouped while still following the associative nature of multiplication, so it would be the correct response.