Question

understand concepts

1. list two possible reasons for reporting precise, but inaccurate, measurements.
2. rank these numbers from smallest to largest.

a. 5.3×10⁴
d. 0.0057
b. 57×10³
e. 5.1×10⁻³
c. 4.9×10⁻²
f. 0.0072×10²

Explanation:

78.

1. Incorrect calibration of measuring - device: The instrument used for measurement might be miscalibrated, giving precise but wrong values.
2. Human error in measurement technique: A consistent but wrong way of taking measurements can lead to precise yet inaccurate results.

Step1: Convert all numbers to standard form

a. $5.3\times 10^{4}=53000$
b. $57\times 10^{3}=57000$
c. $4.9\times 10^{-2}=0.049$
d. $0.0057$
e. $5.1\times 10^{-3}=0.0051$
f. $0.0072\times 10^{2}=0.72$

Step2: Compare and rank

Comparing the values: $0.0051<0.0057<0.049<0.72<53000<57000$
So the order is e. $5.1\times 10^{-3}$, d. $0.0057$, c. $4.9\times 10^{-2}$, f. $0.0072\times 10^{2}$, a. $5.3\times 10^{4}$, b. $57\times 10^{3}$

Answer:

1. Incorrect calibration of measuring - device.
2. Human error in measurement technique.

79.