Based on the scenario provided, identify the official name of the symbol used by the manager ($$\approx$$) and explain what this symbol communicates to the facility staff regarding the relationship between the exact square footage and the rounded figure.

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The **approximation symbol** $$\approx$$ is used to indicate that two values are close to each other but not exactly equal. It is read as "approximately." This symbol appears in mathematics whenever an exact value is replaced by a nearby rounded or estimated value. For example, $$\sqrt{5} \approx 2.24$$ states that the square root of $$5$$ is approximately $$2.24$$ — the two sides are close in value, but $$2.24$$ is not the exact square root of $$5$$. The approximation symbol differs from the equal sign ($$=$$), which asserts that two quantities have exactly the same value. Using $$\approx$$ instead of $$=$$ signals that some precision has been sacrificed, typically through rounding or truncating a decimal.

Approximation Symbol ($$\approx$$)

In a budget summary, a department head rounds an exact project cost of $24,991.15 to $25,000 to make the figure more manageable for an executive presentation. To show that these two values are close but not exactly equal, the head uses the symbol ≈. What is the formal name of this symbol, and how is it read when communicating the data verbally in a meeting?

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Define the mathematical symbol $\approx$ and state the specific rule for when this symbol should be used instead of the equal sign ($=$) in a professional or technical report. Provide one example of a statement using this symbol to show the relationship between a precise measurement and its rounded version.

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