Question

question when solving an equation, madison’s first step is shown below. which property justifies madison’s first step? original equation: 3x·2 = 5 first step: 3·2x = 5 answer associative property of addition multiplication property of equality commutative property of multiplication addition property of equality

Explanation:

The commutative property of multiplication states that for any real - numbers \(a\) and \(b\), \(a\times b=b\times a\). In the original equation \(3x\cdot2 = 5\), and the first step \(3\cdot2x = 5\), the order of multiplication of \(3\) and \(x\) is changed, which is an application of the commutative property of multiplication.

Answer:

commutative property of multiplication