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Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?

(a) 160.0 mm

(b) 16.0 cm

(c) 0.160 m

(d) 0.00016 km

(e) Need more information

Short Answer

Expert verified

The measurement of the pen with the greatest precision is \(160.0\;{\rm{mm}}\).

Step by step solution

01

Significant figures

A significant figure represents the accuracy and precision of the measurement data. An important rule of significant figures is that all non-zero digits in a number are significant.

There are four significant figures in the measurement value \(160.0\;{\rm{mm}}\).

There are three significant figures in the measurement value \(16.0\;{\rm{cm}}\).

There are three significant figures in the measurement value \(0.160\;{\rm{m}}\).

There are two significant figures in the measurement value \(0.00016\;{\rm{km}}\).

02

Precision and accuracy

The closeness between two measurements of a quantity is known as precision. When the observed result has zero systematic and random errors, the measurement is said to have accuracy.

Considering the significant figures, the measurement of the pen with the greatest precision is \(160.0\;{\rm{mm}}\).

Thus, option (a) is correct.

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