Question

which equation shows the identity property of multiplication?
$6 \times (10 \times 12) = (6 \times 10) \times 12$
$6 \times 1 = 6$
$6 \times (10 + 12) = (6 \times 10) + (6 \times 12)$
$6 \times 10 = 10 \times 6$
skill code: 139010

Explanation:

The Identity Property of Multiplication states that multiplying a number by 1 leaves the number unchanged, i.e., \( a \times 1 = a \). Let's analyze each option:

• \( 6 \times (10 \times 12) = (6 \times 10) \times 12 \): This is the Associative Property of Multiplication (grouping of factors doesn't change the product).
• \( 6 \times 1 = 6 \): This follows \( a \times 1 = a \), so it's the Identity Property of Multiplication.
• \( 6 \times (10 + 12) = (6 \times 10) + (6 \times 12) \): This is the Distributive Property (multiplication over addition).
• \( 6 \times 10 = 10 \times 6 \): This is the Commutative Property of Multiplication (order of factors doesn't change the product).

Answer:

The equation showing the Identity Property of Multiplication is \( 6 \times 1 = 6 \) (the second option: \( 6 \times 1 = 6 \)).