Question

howard says the equation 520 = 13×40 means 520 is 13 times as many as 40. bernadette says the equation means 520 is 40 times as many as 13. who is correct? explain. because of the property of

Explanation:

Step1: Recall the commutative property of multiplication

The commutative property of multiplication states that for any two numbers \(a\) and \(b\), \(a\times b=b\times a\). In the equation \(520 = 13\times40\), if we let \(a = 13\) and \(b=40\), then \(13\times40=40\times13\).

Step2: Analyze Howard and Bernadette's statements

Howard says \(520\) is \(13\) times as many as \(40\) (\(520=13\times40\)). Bernadette says \(520\) is \(40\) times as many as \(13\) (\(520 = 40\times13\)). Since \(13\times40=40\times13\) by the commutative property of multiplication.

Answer:

Both Howard and Bernadette are correct because of the commutative Property of multiplication.