How many significant digits for converted temperature?

Match the converted temperature’s digits to the least precise measurement in the calculation; when converting a temperature difference, keep the same number of decimal places as the original, and when converting an absolute temperature add or subtract exactly then round to the least precise input.

Imagine you measured a temperature and it has a certain precision, like one decimal place, and you need to convert it to another unit; you treat the conversion so that the final result does not imply more accuracy than your original measurement allowed. If you are converting an absolute temperature such as Celsius to Kelvin you first add or subtract the exact offset and then round the final answer to the same precision as the least precise input. If instead you are converting a temperature difference you do not include the offset; you just scale the difference and then keep the same number of decimal places that the original difference had. Think of precision like how finely a ruler is marked: you do not invent extra markings when you change units.

A common mistake is treating Celsius to Kelvin conversions like ordinary multiplications and keeping too many digits, which makes the result falsely precise, so always add or subtract the exact offset first then round; another mistake is forgetting that temperature differences do not use the offset, so multiplying a Celsius difference by the scale factor and keeping original decimal places is the correct approach, and a quick check is to ask whether an offset was involved; students also sometimes match significant figures instead of decimal places for temperature differences, and the fix is to track decimal places for differences and significant figures only for multiplicative steps that involve measured values.

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Temperature Conversion Precision Guide

1. Match final precision to least precise
2. Add or subtract offset before rounding
3. Round to same decimal places
4. Do not add false accuracy
5. Scale differences without offset
6. Keep original decimal places for differences

Common Temperature Conversion Mistakes

1. Keeping too many digits after conversion
2. Using offset when scaling differences
3. Matching significant figures instead of decimals

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