The metric system
Meter (m) is a shared length unit. One meter contains 10 dm, 100 cm or 1,000 mm. One dam is 10 m; one hm is 100 m; one km is 1,000 m.
Smaller units need a larger count for the same positive length. Changing a unit does not change the length.
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Metric conversions
Name → Scale → Predict → Cancel → Check. When multiplying, matching units in the numerator and denominator cancel. An equivalent conversion factor changes the unit, not the amount.
0.05 km = 50 m = 5,000 cm.
422 dg = 42.2 g = 42,200 mg.
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