Pregunta
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63. Mount Mckinley in Alaska is 20,320 feet above sea level. Write an integer to represent 20,320 feet above sea level and the absolute value of that integer. A. 20,320 and 20,320 B. \( -20,320 \) and 20,320 C. 20,320 and \( -20,320 \) D. \( -20,320 \) and \( -20,320 \)

Ask by Hammond Kelley. in the United States
Mar 12,2025

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The correct answer is A: 20,320 and 20,320.

Solución

To represent the elevation of Mount McKinley, which is 20,320 feet above sea level, we can use the following logic: 1. **Above Sea Level**: When we say something is above sea level, we represent it with a positive integer. Therefore, 20,320 feet above sea level is represented as \( 20,320 \). 2. **Absolute Value**: The absolute value of a number is its distance from zero on the number line, regardless of direction. Since 20,320 is already a positive number, its absolute value is also \( 20,320 \). Now, let's analyze the options: - **A.** \( 20,320 \) and \( 20,320 \) - This is correct as both the representation and the absolute value are \( 20,320 \). - **B.** \( -20,320 \) and \( 20,320 \) - This is incorrect because \( -20,320 \) represents below sea level. - **C.** \( 20,320 \) and \( -20,320 \) - This is incorrect because the absolute value should not be negative. - **D.** \( -20,320 \) and \( -20,320 \) - This is incorrect for the same reason as option B. Thus, the correct answer is: **A. \( 20,320 \) and \( 20,320 \)**.

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The correct answer is A: 20,320 and 20,320. When representing an elevation above sea level, you use a positive integer, which in this case is 20,320 feet for Mount McKinley. The absolute value of this integer returns the same positive number, 20,320, because absolute value measures the distance from zero without considering direction. When we think of elevation, it’s always in terms of how high something is, which is why we use positive numbers. Even when dealing with temperatures or depths, like sea level where we might go below zero, mountains remain gloriously elevated above that zero mark! Isn’t math just full of fun surprises?

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