11) Express each of the following as indicated:

a) 2 dm expressed in millimeters

b) 2 h 10m expressed in seconds

c) 16 g expressed in micrograms

e) 0.675 mg expressed in grams

f) 462 um expressed in centimeters

g) 35/h expressed in meter per second

The correct answers are: A) 20,000; B) 7800; C) 16,000,000; E) 0.000675; F) 231/5000 or 0.0462. (For G, part of the measurement is missing, which means we cannot correctly answer the question.)

Explanation:

a) To change from dm to m, multiply by 10. To change from m to mm, multiply by 1000. This means we multiply by 10*1000=10,000; 2*10,000=20,000.

B) 2 hours * 60 minutes per hour = 120 minutes; 120 minutes + 10 minutes = 130 minutes; 130 minutes * 60 seconds per minute = 7800 seconds.

C) A microgram is 1/1000000 of a gram. This means we multiply the number of grams by 1,000,000: 16*1,000,000=16,000,000.

E) To convert from mg to g, you divide by 1000: 0.675/1000=0.000675.

F) um is micrometers, and 1 m = 1,000,000 um. This means that 462 um = 462/1000000 m. We can use a proportion to solve this:

462/1000000 = x/100.

Cross multiply:

462*100=1000000x

46200=1000000x.

Divide both sides by 1000000:

46200/1000000=1000000x/1000000

462/10000=x=231/5000.