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APES Math Practice: Productivity Calculations

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Last updated over 3 years ago
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Scientific Notation
Convert the following numbers into scientific notation.
Question 1
1.

One thousand

Question 2
2.

One million

Question 3
3.

One billion

Question 4
4.

One trillion

Question 5
5.

twenty-three thousand

Question 6
6.

256,000

Do the following calculations in scientific notation:
Question 7
7.

(2.96 x 107) + (1.0 x 108)

Question 8
8.

Five hundred billion times thirty-five thousand

Question 9
9.

six thousand divided by 300 billion

Question 10
10.

one ten thousandth of three million

Metric Conversions
Memorize the conversions that follow the table of prefixes. (These answers are not in scientific notation)
Question 11
11.

1200 watts = ____________ kW (kilowatts)

Question 12
12.

1200 kW = ____________ MW (megawatts)

Question 13
13.

500 km = ____________ meters

Question 14
14.

60 grams = ____________ milligrams

Question 15
15.

14,000 milliliters = ____________ liters

Productivity

Gross primary production (GPP) is the total amount of carbon dioxide "fixed" by land plants per unit time through the photosynthetic reduction of CO2 into organic compounds. A substantial fraction of GPP supports plant autotrophic respiration (Ra), with the remainder allocated to the net primary production (NPP) of plant structural biomass in stems, leaves, and fruit, carbohydrates such as sugars and starch, and, to a much lesser extent, volatile organic compounds used in plant defense and signaling.
Terrestrial GPP, therefore, relates to NPP as follows:
NPP = GPP - Ra
Net Primary Productivity = Gross Primary Productivity - Energy used for respiration.
Production rates are usually expressed as grams of organic carbon per unit area per unit time.
Question 16
16.

A round pot measures 50 cm in diameter and in it 125 grams of lettuce grew in 95 days. Calculate the NPP of the lettuce in g/m2 per day.

Question 17
17.

A square flower box measures 22 cm on one side. After drying, 34 grams of flowers were grown in that flower box in 145 days. Calculate the NPP of the flowers in g/m2 per day.

Question 18
18.

The gross primary productivity of an ecosystem is 3.5 kgC/m2/year, and the energy needed by the producers for their own respiration is 3.0 kgC/m2/year. What is the net primary productivity of such an ecosystem? (include units in your answer)

Question 19
19.

The net annual primary productivity of a particular wetland ecosystem is found to be 2,000 kcal/m2. If respiration by the aquatic producers is 18,000 kcal/m2 per year, what is the gross annual primary productivity for this ecosystem, in kcal/m2 per year? (include units in your answer)

Question 20
20.

In the community described in the table above, which of the following represents the respiratory energy (kcal/m2/year) used by autotrophic organisms?