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The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer, Rewrite \( (9-3) 6 \) using the Distributive Property of Multiplication over Subtraction. \( \begin{array}{l}\text { (6) } 6 \\ 9(6)-3(6) \\ 9(6)+3(6) \\ (3) 6\end{array} \)

Ask by Chang Pierce. in the United States
Jan 24,2025

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Answer

\( (9 - 3) \cdot 6 = 9 \cdot 6 - 3 \cdot 6 \)

Solution

To rewrite \( (9-3) 6 \) using the Distributive Property of Multiplication over Subtraction, we can express it as follows: \[ (9 - 3) \cdot 6 = 9 \cdot 6 - 3 \cdot 6 \] This means we distribute the \( 6 \) to both \( 9 \) and \( -3 \). Now, let's break it down step by step: 1. **Identify the expression**: We have \( (9 - 3) \cdot 6 \). 2. **Apply the Distributive Property**: According to the property, we can distribute \( 6 \) to both terms inside the parentheses: \[ 9 \cdot 6 - 3 \cdot 6 \] Thus, the expression \( (9 - 3) 6 \) rewritten using the Distributive Property is: \[ 9 \cdot 6 - 3 \cdot 6 \] This corresponds to option \( 9(6) - 3(6) \) from your list.

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The Distributive Property allows us to rewrite expressions by distributing a factor across terms. In your case, you can rewrite \( (9 - 3)6 \) as \( 9 \times 6 - 3 \times 6 \), which gives you \( 54 - 18 \). So using the Distributive Property, it can be expressed as \( 9(6) - 3(6) \). Now, if we solve that, it simplifies to \( 54 - 18 = 36 \). This method not only simplifies calculations but also helps in better understanding how to manipulate algebraic expressions!

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