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	2.84 x 10⁻²km
3	50290 m	4	5.209 x 10⁴m
4	0.003068 m	4	3.068 x 10⁻³m
5	40.6m	3	4.06 x 10¹m
6	46m	2	4.6 x 10¹m
7	750 m
8	75,000 m
9	75 m
10	75.00 m
11	10 cm
12	75,000.0 m

Explanation:

Step1: Determine significant figures

Non - zero digits are always significant. Zeros between non - zero digits are significant. Leading zeros are not significant. Trailing zeros are significant if there is a decimal point.

Step2: Convert to scientific notation

Move the decimal point so that there is one non - zero digit to the left of the decimal point. The exponent of 10 is the number of places the decimal point was moved. If the decimal point is moved to the left, the exponent is positive; if moved to the right, the exponent is negative.

Measurements	Number of Sig Fig	Scientific Notation
75,000 m	2	$7.5\times 10^{4}$m
75 m	2	$7.5\times 10^{1}$m
75.00 m	4	$7.500\times 10^{1}$m
10 cm	1	$1\times 10^{1}$cm
75,000.0 m	6	$7.50000\times 10^{4}$m

Answer:

Measurements	Number of Sig Fig	Scientific Notation
75,000 m	2	$7.5\times 10^{4}$m
75 m	2	$7.5\times 10^{1}$m
75.00 m	4	$7.500\times 10^{1}$m
10 cm	1	$1\times 10^{1}$cm
75,000.0 m	6	$7.50000\times 10^{4}$m