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Measure to a specified precision

Measurement to a specified precision means selecting an appropriate unit and recording an approximate length, mass, capacity, or other measurable quantity to the required whole-number, fractional, or decimal place. The learner reads the relevant scale, identifies the nearest marked or interpolated value, and rounds consistently rather than reporting unwarranted digits; this connects measurement with place value, fractions, decimals, and estimation. More advanced topics such as significant figures, formal bounds, and statistical error analysis are not included.

Detailed Explanation: Measure to a specified precision

First, identify:

  1. What is being measured and its unit.
  2. The required precision, such as the nearest centimetre or nearest tenth.
  3. The scale reading, then round to the required place.

Example: A pencil is measured with a ruler. Its end is at (12.7 cm)(12.7\text{ cm}). Record its length to the nearest centimetre.

  1. The unit is centimetres.
  2. The required precision is the nearest centimetre, so the answer must be a whole number.
  3. The pencil measures (12.7 cm)(12.7\text{ cm}). Look at the tenths digit, 77.
  4. Since 77 is 55 or more, round (12)(12) up to (13)(13).

Therefore, the pencil’s length to the nearest centimetre is

13 cm\boxed{13\text{ cm}}

Do not write (12.70 cm)(12.70\text{ cm}), because that gives more decimal places than the question asks for.

Learn by doing: Measure to a specified precision

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    Measure with Ruler (inches) - Eighth Inches Under 2

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