Question

which of the following statements is true according to the associative property of multiplication? select one of four (5×4)×20=(5×4)+20; (5×4)×20≠5×(4×20); (5×4)×20=5×(4×20); (5×4)×20≠400 remaining attempts: 1

Explanation:

The associative property of multiplication states that for any numbers \(a\), \(b\), and \(c\), \((a\times b)\times c = a\times(b\times c)\). Let's analyze each option:

• First option: Compares multiplication and division, not related to associative property of multiplication.
• Second option: Claims \((5\times4)\times20

eq5\times(4\times20)\), which contradicts the associative property.

• Third option: \((5\times4)\times20 = 5\times(4\times20)\) follows the associative property of multiplication as it shows the grouping of factors can be changed without changing the product.
• Fourth option: Compares the product to 400 (a calculation result) and uses \(

eq\), not related to the associative property.

Answer:

(5 × 4) × 20 = 5 × (4 × 20)