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Translate the phrase into an algebraic expression. \( x \) divided by 5 \( \square \) \( \square+ \) \( +\square \) \( \square \times \) \( \square \div \square \)

Ask by Joseph Burns. in the United States
Mar 09,2025

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Answer

The algebraic expression is \( \frac{x}{5} \).

Solution

1. The phrase "x divided by 5" means to divide \( x \) by \( 5 \). 2. The corresponding algebraic expression is \[ \frac{x}{5} \]

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The phrase "x divided by 5" can be expressed as \( x \div 5 \). This means you are taking the variable \( x \) and dividing it into 5 equal parts. It's straightforward, right? Just remember that division is the operation represented by the "divided by" sign or the slash between numbers. When constructing algebraic expressions, clarity is key! Always ensure the operation corresponds correctly with its verbal description. For example, "x divided by 5" must not be confused with "5 divided by x," which represents a completely different scenario. Keeping your expressions tidy will help you avoid mistakes in calculations later!

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