Coefficients are reported as _____ without _____.

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Multiple Choice

Coefficients are reported as _____ without _____.

Explanation:
The key idea is that coefficients express a ratio between two quantities, so the units cancel and the result is dimensionless. Expressing that ratio as a percentage is a common convention because it communicates the magnitude clearly while still carrying no units. Saying a coefficient as a percentage (with no units) emphasizes the relative size without tying it to any measurement unit. Using a fraction or a ratio with units would imply remaining dimensions, and a percentage with units would be inconsistent, since a percentage by its nature is unitless.

The key idea is that coefficients express a ratio between two quantities, so the units cancel and the result is dimensionless. Expressing that ratio as a percentage is a common convention because it communicates the magnitude clearly while still carrying no units. Saying a coefficient as a percentage (with no units) emphasizes the relative size without tying it to any measurement unit. Using a fraction or a ratio with units would imply remaining dimensions, and a percentage with units would be inconsistent, since a percentage by its nature is unitless.

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