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Precise Length Measurement
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Precise Length Measurement
A community workshop is making a display stand. Solve each measurement problem carefully. Show units in every answer and round only when asked.
Read the scale
A steel rule has small divisions that are 1 mm apart.
1.A strip starts at zero and ends at 7.3 cm. Write its length in millimetres.
2.Which reading has the finest stated resolution?
- 4 cm
- 4.2 cm
- 42 mm
- 42.00 mm
3.Georgia measures a piece of timber as 1.268 m. Convert this length to millimetres and centimetres.
Measure, compare, decide
Use the measurements given in each question.
4.The board endpoint is at 124.6 cm. Express this length in metres.
5.A shelf must be 1.25 m long. The measured board is 124.6 cm. How much longer must the board be, in millimetres?
6.A first measurement is 82.4 cm and a repeat measurement is 82.7 cm. Find the range of the two readings in millimetres.
7.Three repeated measurements of a panel are 51.2 cm, 51.4 cm and 51.3 cm. Calculate the mean length in centimetres, then give it in millimetres.
8.A student records 96.0 cm, 96.1 cm and 96.0 cm for a beam known to be 100 cm long. Are these readings precise, accurate, both or neither? Explain using the meanings of the two terms.
9.A ruler's zero end is chipped. Maia aligns an object with the 1.2 cm mark and its other end reaches 9.7 cm. What is the object's length? Explain why subtracting the starting reading works.
10.Tick the two best practices for measuring a straight edge accurately with a ruler.
- Keep the ruler straight and in contact with the edge.
- Read the scale from directly above the mark.
- Estimate extra decimal places beyond the smallest divisions.
- Round every result to the nearest centimetre.
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