When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? Original Equation: 3(-5x)=5 First Step: (3*-5)x=5 subtraction property of equality associative property of multiplication multiplication property of equality commutative property of multiplication

Rearrange factors in multiplication: Emily's first step is to go from 3(-5x) to (3*-5)x. This step involves rearranging the factors within the multiplication without changing their product. This is an application of the associative property of multiplication, which states that the way in which factors are grouped does not change the product. In this case, Emily is grouping the 3 and -5 together before multiplying by x.

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

3(-5x)=5
First Step:

(3*-5)x=5
subtraction property of equality
associative property of multiplication
multiplication property of equality
commutative property of multiplication

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? $\newline$ Original Equation: $\newline$ $3(-5 x)=5$ $\newline$ First Step: $\newline$ $(3 \cdot-5) x=5$ $\newline$ subtraction property of equality $\newline$ associative property of multiplication $\newline$ multiplication property of equality $\newline$ commutative property of multiplication

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Algebra 1

Properties of equality

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

\newline

Original Equation:

\newline

3(-5 x)=5

\newline

First Step:

\newline

(3 \cdot-5) x=5

\newline

subtraction property of equality

\newline

associative property of multiplication

\newline

multiplication property of equality

\newline

commutative property of multiplication

Rearrange factors in multiplication: Emily's first step is to go from $3(-5x)$ to $(3\times-5)x$ . This step involves rearranging the factors within the multiplication without changing their product. This is an application of the associative property of multiplication, which states that the way in which factors are grouped does not change the product. In this case, Emily is grouping the $3$ and $-5$ together before multiplying by $x$ .