Conversion Factors Identify one or more correct conversion factors for the equality of gigagrams and grams. a. [latex]\frac{1\,\mathrm{Gg}}{1\times10^{9}\,\mathrm{g}}[/latex] b. [latex]\frac{1\times10^{-9}\,\mathrm{g}}{1\,\mathrm{Gg}}[/latex] c. [latex]\frac{1\times10^{9}\,\mathrm{Gg}}{1\mathrm{~g}}[/latex] d. [latex]\frac{1\times10^{9}\,\mathrm{g}}{1\,\mathrm{Gg}}[/latex]

In Table 1.8, the equality for gigagrams and grams is 1 Gg = 1 × [latex]10^{{9}}[/latex] g. Answers a and d are correctly written conversion factors.

Question 1.CC.9: Conversion Factors Identify one or more correct conversion f......

Chemistry: An Introduction to General, Organic, and Biological Chemistry [1013382]

Conversion Factors
Identify one or more correct conversion factors for the equality of gigagrams and grams.

a. $\frac{1\,\mathrm{Gg}}{1\times10^{9}\,\mathrm{g}}$ b. $\frac{1\times10^{-9}\,\mathrm{g}}{1\,\mathrm{Gg}}$ c. $\frac{1\times10^{9}\,\mathrm{Gg}}{1\mathrm{~g}}$ d. $\frac{1\times10^{9}\,\mathrm{g}}{1\,\mathrm{Gg}}$

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In Table 1.8, the equality for gigagrams and grams is 1 Gg = 1 × $10^{{9}}$ g.
Answers a and d are correctly written conversion factors.

TABLE 1.8 Metric and SI Prefixes
Prefix	Symbol	Numerical Value	Scientific Notation	Equality
Prefixes That Increase the Size of the Unit
tera	T	1 000 000 000 000	$10^{12}$	$1~{\mathrm{Ts}}~=~1\times\,10^{12}\,{\mathrm{s}}$
				$1\ \mathrm{s}\ =\ 1\ \times\ 10^{-12}\,\mathrm{Ts}$
giga	G	1 000 000 000	$10^{9}$	$1~{\mathrm{Gm}}~=~1\times\,10^{9}\,{\mathrm{m}}$
				$1{\mathrm{~m~}}=1\times10^{-9}\,\mathrm{Gm}$
mega	M	1 000 000	$10^{6}$	$\mathrm{1~Mg~=~}\mathrm{1~}\times\mathrm{10}^{6}\ g$
				$1\ \mathrm{g}\ =\ 1\ \times\ 10^{-6}\,\mathrm{Mg}$
kilo	K	1 000	$10^{3}$	$1\mathrm{~km~}=1\times10^{3}\mathrm{~m}$
				$1~{\mathrm{m}}~=~1\times10^{-3}\,{\mathrm{km}}$
Prefixes That Decrease the Size of the Unit
deci	d	0.1	$10^{-1}$	$1\,\mathrm{dL}\;=\;1\;\times\;\mathrm{10}^{-1}\,\mathrm{L}$
				1 L = 10 dL
centi	c	0.01	$10^{-2}$	$1\,\mathrm{cm}\;=\;1\times\:10^{-2}\,\mathrm{m}\;$
				1 m = 100 cm
milli	m	0.001	$10^{-3}$	$1~{\mathrm{ms}}~=1~\times~10^{-3}\,{\mathrm{s}}$
				$1\ {\mathrm{s}}\ =\ 1\times\ 10^{3}\,{\mathrm{ms}}$
micro	μ	0.000 001	$10^{-6}$	$1~\mu{\mathrm{g}}=~1\times~10^{-6}~{\mathrm{g}}$
				$1\ {\mathrm{g}}\ =\ 1\times\ 10^{6}\,\mu{\mathrm{g}}$
nano	n	0.000 000 001	$10^{-9}$	$1~{\mathrm{nm}}~=\;1\times~10^{-9}\,{\mathrm{m}}$
				$1{\mathrm{~m~}}=1\times10^{9}{\mathrm{~nm}}$
pico	p	0.000 000 000 001	$10^{-12}$	$1\;{\mathrm{ps}}\;=\;1\times10^{-12}\,{\mathrm{s}}\;$
				$1\ {\mathrm{s}}\ =\ 1\times\ 10^{12}\,\mathrm{ps}$