Question

complete the table by indicating the number of sig fig and writing the measurement in scientific notation.

	measurements	number of sig fig	scientific notation
2	0.0284 km
3	50290 m
4	0.003068 m
5	40.6m
6	46m

Explanation:

Step1: Determine significant - figures for 2804 m

Non - zero digits and zeros between non - zero digits are significant. So, 2804 has 4 significant figures. In scientific notation, $2804 = 2.804\times10^{3}$.

Step2: Determine significant - figures for 0.0284 km

Leading zeros are not significant. So, 0.0284 has 3 significant figures. In scientific notation, $0.0284=2.84\times 10^{-2}$ (since $1\ km = 1000\ m$, $0.0284\ km=28.4\ m$).

Step3: Determine significant - figures for 50290 m

Trailing zeros without a decimal point may or may not be significant. Assuming the measurement is made to the nearest meter, 50290 has 4 significant figures. In scientific notation, $50290 = 5.029\times10^{4}$.

Step4: Determine significant - figures for 0.003068 m

Leading zeros are not significant. So, 0.003068 has 4 significant figures. In scientific notation, $0.003068 = 3.068\times10^{-3}$.

Step5: Determine significant - figures for 40.6 m

Non - zero digits and zeros between non - zero digits are significant. So, 40.6 has 3 significant figures. In scientific notation, $40.6 = 4.06\times10^{1}$.

Step6: Determine significant - figures for 46 m

Non - zero digits are significant. So, 46 has 2 significant figures. In scientific notation, $46 = 4.6\times10^{1}$.

Answer:

Measurements	Number of Sig Fig	Scientific Notation
0.0284 km	3	$2.84\times 10^{-2}$ km ($2.84\times10^{1}$ m)
50290 m	4	$5.029\times10^{4}$ m
0.003068 m	4	$3.068\times10^{-3}$ m
40.6 m	3	$4.06\times10^{1}$ m
46 m	2	$4.6\times10^{1}$ m