Question

1. order these units from smallest to largest: cm, μm, km, mm, m, nm, dm, pm. then give each measurement in terms of meters.

Explanation:

Step1: Recall unit - conversion factors

1 pm = $10^{-12}$ m, 1 nm = $10^{-9}$ m, 1 $\mu$m = $10^{- 6}$ m, 1 mm = $10^{-3}$ m, 1 cm = $10^{-2}$ m, 1 dm = $10^{-1}$ m, 1 km = $10^{3}$ m.

Step2: Order the units

Based on the above - mentioned conversion factors, the order from smallest to largest is: pm, nm, $\mu$m, mm, cm, dm, m, km.

Step3: Express each unit in terms of meters

pm: $10^{-12}$ m; nm: $10^{-9}$ m; $\mu$m: $10^{-6}$ m; mm: $10^{-3}$ m; cm: $10^{-2}$ m; dm: $10^{-1}$ m; m: 1 m; km: $10^{3}$ m.

Answer:

Order: pm, nm, $\mu$m, mm, cm, dm, m, km
In terms of meters: pm = $10^{-12}$ m, nm = $10^{-9}$ m, $\mu$m = $10^{-6}$ m, mm = $10^{-3}$ m, cm = $10^{-2}$ m, dm = $10^{-1}$ m, m = 1 m, km = $10^{3}$ m