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📘 The last reported digit is an estimate

The last digit you write is usually estimated between instrument marks.

4
lessons
~20 min
to learn
Adults
level
Start the course →

What you’ll learn

  1. Read a measurementDistinguish measured digits from precision and accuracy.The final reported digit is usually estimated; more digits do not fix bias.
  2. Count significant figuresApply nonzero, leading-zero, captive-zero, and trailing-zero rules.Scientific notation removes ambiguity about trailing zeros.
  3. Round calculationsUse sig-fig rules for multiply/divide and decimal-place rules for add/subtract.Keep guard digits until the final step, then round once.
  4. Report resultsSeparate exact counts from measured values and report honestly.Units and honest rounding prevent calculator precision from pretending to be measurement.

Questions this course answers

What does the last reported digit of a measurement usually represent?

The final reported digit is the uncertain digit estimated between instrument markings.

How many significant figures are in 0.00450?

Leading zeros do not count, while 4, 5, and the trailing decimal zero do.

Which rule applies to 12.4 + 3.17?

Addition and subtraction are limited by decimal place, so the answer is reported to the tenths place.

Why keep extra calculator digits during intermediate steps?

Carry extra digits temporarily, then round the final result using the limiting measured input.

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