Answer
We can rank the lengths from smallest to greatest:
$c = e \lt a = b \lt d$
Work Step by Step
We can convert each length to units of meters:
(a) $1~\mu m = 1\times 10^{-6}~m$
(b) $1000~nm = 1000\times 10^{-9}~m = 1 \times 10^{-6}~m$
(c) $100~ 000~pm = 100~ 000\times 10^{-12}~m = 1 \times 10^{-7}~m$
(d) $0.01~cm = 0.01\times 10^{-2}~m = 1 \times 10^{-4}~m$
(e) $0.000~000~000~1~km = 0.000~000~000~1\times 10^{3}~m = 1 \times 10^{-7}~m$
We can rank the lengths from smallest to greatest:
$c = e \lt a = b \lt d$
