Laboratory / Mathematics

Quantities, ratios, and scale

Choose a familiar object and estimate it in centimeters, meters, and kilometers. Convert each estimate back to meters. The magnitude changes with the unit while the represented length stays fixed.

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Choose a familiar object and estimate it in centimeters, meters, and kilometers. Convert each estimate back to meters. The magnitude changes with the unit while the represented length stays fixed. Current reading: A model length near 18 multiplied by scale 9 produces the real-world magnitude.model 18 units × scale 9 = 162 real units
What changed

A model length near 18 multiplied by scale 9 produces the real-world magnitude.

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Experiment after prediction.

Before changing a control, say which visible feature should move and which should remain invariant. That prediction is the useful part of the experiment; motion alone is not evidence.