Question

1. metric conversions with dimensional analysis

instructions: use the prefix conversion chart in your book to complete the following metric equalities.
1 kg = 1,000 g | 1 cm = .01 m | 1 mm = .001 m | ms = s
1 km = 1,000 m | 1 cl = .01 l | 1 mg = .001 g |
1 kl = 1,000 l | 1 cg = .01 g | 1 ml = .001 l | mg = g

Explanation:

Step1: Recall metric - prefix relationships

The prefix "milli -" (m) means $10^{- 3}$, so $1\ ms=0.001\ s$.

Step2: Recall metric - prefix relationships for "mega -"

The prefix "mega -" (M) means $10^{6}$, so $1\ Mg = 1000000\ g$.

Answer:

$1\ ms = 0.001\ s$; $1\ Mg=1000000\ g$