Answer
(a) There are 0.1 nanometers in 1.0 angstrom.
(b) There are $10^5$ femtometers in 1.0 angstrom.
(c) There are $10^{10}$ angstroms in 1.0 meter.
(d) There are $9.5 \times 10^{25}$ angstroms in 1.0 light-year.
Work Step by Step
(a) $1 ~nm = 10^{-9} ~m$
$\frac{1.0 \times 10^{-10}~m}{1 \times 10^{-9} ~m} = 0.1$
There are 0.1 nanometers in 1.0 angstrom.
(b) $1 ~fm = 10^{-15} ~m$
$\frac{1.0 \times 10^{-10}~m}{1 \times 10^{-15} ~m} = 10^5$
There are $10^5$ femtometers in 1.0 angstrom.
(c) $\frac{1.0 ~m}{1 \times 10^{-10} ~m} = 10^{10}$
There are $10^{10}$ angstroms in 1.0 meter.
(d) 1.0 light-year = $9.5 \times 10^{15} ~m$
$\frac{9.5 \times 10^{15} ~m}{1 \times 10^{-10} ~m} = 9.5 \times 10^{25}$
There are $9.5 \times 10^{25}$ angstroms in 1.0 light-year.
