Let's analyze the statements one by one:
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The expression can be used to find the difference in elevations between Mount McKinley and the Badwater Basin.
- True; this statement is vague, but it implies that there is a mathematical expression that can be used for the difference.
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The expression 20,326 – 282 can be used to find the difference in elevations between Mount McKinley and the Badwater Basin.
- True; this correctly subtracts the elevation of Badwater Basin (282 feet below sea level) from the elevation of Mount McKinley (20,326 feet above sea level) to find the difference: 20,326 - (-282).
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The expression –282 – 20,326 can be used to find the difference in elevations between Mount McKinley and the Badwater Basin.
- False; this expression inaccurately represents the elevations and does not yield the correct difference.
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The elevation for the Badwater Basin can be represented by the rational number -282.
- True; since the Badwater Basin is below sea level, its elevation is represented as -282 feet.
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The difference in elevation between Mount McKinley and the Badwater Basin is 20,608 feet.
- True; the calculation is as follows: 20,326 (Mount McKinley) - (-282) = 20,326 + 282 = 20,608 feet.
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The difference in elevation between Mount McKinley and the Badwater Basin is 20,044 feet.
- False; as calculated above, the correct difference is 20,608 feet, not 20,044 feet.
In summary, the true statements are:
- The expression 20,326 – 282 can be used to find the difference in elevations between Mount McKinley and the Badwater Basin.
- The elevation for the Badwater Basin can be represented by the rational number -282.
- The difference in elevation between Mount McKinley and the Badwater Basin is 20,608 feet.