Pregunta
The Distributive Property allows you to
Practice
multiply each term inside parentheses by
1. Expand the expression
a factor that is outside the parentheses.
This mans that you can use the Distributive
2. Expand the expression
Property to expand expressions.
Then combine like terms.
| The Distributive Property allows you to | Practice |
| multiply each term inside parentheses by | 1. Expand the expression
|
| a factor that is outside the parentheses. | |
| This mans that you can use the Distributive | 2. Expand the expression
|
| Property to expand expressions. | Then combine like terms. |
|
|
Ask by Cruz Burns. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\begin{tabular}{l|l}
La Propiedad Distributiva te permite & Práctica \\
multiplicar cada término dentro de paréntesis por & 1. Expande \( 3.5(-3n + 4) \). \\
un factor que está fuera de los paréntesis. & \\
Esto significa que puedes usar la Propiedad Distributiva & 2. Expande \( \frac{3}{5}\left(-8 + \frac{5}{9}x - 3\right) \) - \\
la Propiedad Distributiva para expandir expresiones. & Luego combina términos semejantes. \\
\( \begin{array}{ll}
\text{Ejemplo} & \\
\text{Expande } \frac{1}{4}(h + 7) \text{.} & \\
\left(\frac{1}{4} \times h\right) + \left(\frac{1}{4} \times 7\right) = \frac{1}{4}h + 1.75 &
\end{array} \)
\end{tabular}
Solución
\begin{tabular}{l|l}
La Propiedad Distributiva te permite & Práctica \\
multiplicar cada término dentro de paréntesis por & 1. Expande la expresión \( 3.5(-3n + 4) \). \\
un factor que está fuera de los paréntesis. & \\
Esto significa que puedes usar la Propiedad Distributiva & 2. Expande la expresión \( \frac{3}{5}\left(-8 + \frac{5}{9}x - 3\right) \) - \\
la Propiedad Distributiva para expandir expresiones. & Luego combina términos semejantes. \\
\( \begin{array}{ll}
\text{Ejemplo} & \\
\text{Expande la expresión } \frac{1}{4}(h + 7) \text{.} & \\
\left(\frac{1}{4} \times h\right) + \left(\frac{1}{4} \times 7\right) = \frac{1}{4}h + 1.75 &
\end{array} \)
\end{tabular}
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Simplifique esta solución Beyond the Answer
The Distributive Property is a fundamental concept in mathematics that dates back to the Ancient Greeks and was formalized in the works of mathematicians like Al-Khwarizmi. It forms the backbone of algebraic manipulation, allowing students and professionals alike to simplify expressions and solve equations effectively. When you understand this property, you’re essentially unlocking a powerful tool to tackle a wide array of mathematical problems.
To put the Distributive Property into real-world context, consider budgeting! Imagine you’re planning a party with different expenses: $3.5 for each of 4 guests on snacks and optional drinks. By distributing the $3.5 across the total costs—whether for snacks or drinks—you can easily keep track of your expenses. It’s all about breaking down complex situations into manageable chunks, making financial planning a whole lot easier and a bit more fun!
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