When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 4x*-2=2 First Step: 4*-2x=2 multiplication property of equality division property of equality commutative property of multiplication distributive property of multiplication over addition

Switching Multiplication Order: Carmen's first step is to go from 4x*-2 to 4*-2x. Let's analyze this step to determine which property is being used. In the original equation, 4x is being multiplied by -2. In the first step, the position of x and -2 are switched within the multiplication. This change does not affect the product because multiplication is commutative; that is, a*b = b*a for any numbers a and b. Therefore, the property being used here is the commutative property of multiplication.

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When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Original Equation:

4x*-2=2
First Step:

4*-2x=2
multiplication property of equality
division property of equality
commutative property of multiplication
distributive property of multiplication over addition

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? $\newline$ Original Equation: $\newline$ $4 x \cdot-2=2$ $\newline$ First Step: $\newline$ $4 \cdot-2 x=2$ $\newline$ multiplication property of equality $\newline$ division property of equality $\newline$ commutative property of multiplication $\newline$ distributive property of multiplication over addition

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Algebra 1

Properties of equality

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Q. When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?

\newline

Original Equation:

\newline

4 x \cdot-2=2

\newline

First Step:

\newline

4 \cdot-2 x=2

\newline

multiplication property of equality

\newline

division property of equality

\newline

commutative property of multiplication

\newline

distributive property of multiplication over addition

Switching Multiplication Order: Carmen's first step is to go from $4x\times-2$ to $4\times-2x$ . Let's analyze this step to determine which property is being used. $\newline$ In the original equation, $4x$ is being multiplied by $-2$ . In the first step, the position of $x$ and $-2$ are switched within the multiplication. $\newline$ This change does not affect the product because multiplication is commutative; that is, $a\times b = b\times a$ for any numbers $a$ and $b$ . $\newline$ Therefore, the property being used here is the commutative property of multiplication.