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The question asks for the mass of a population of 480,000,000 bacteria, given that each bacterium has a mass of \( 2 \times 10^{-12} \) grams.

### Steps:
1. You are given that the mass of **one** bacterium is \( 2 \times 10^{-12} \) grams.
2. The population after 30 hours is **480,000,000** bacteria.
3. To find the total mass of the population, multiply the mass of one bacterium by the number of bacteria:

\[
\text{Total mass} = \left( 2 \times 10^{-12} \, \text{grams} \right) \times 480,000,000
\]

4. Convert 480,000,000 to scientific notation:

\[
480,000,000 = 4.8 \times 10^8
\]

5. Now, perform the multiplication:

\[
\text{Total mass} = \left( 2 \times 10^{-12} \right) \times \left( 4.8 \times 10^8 \right)
\]

6. Multiply the coefficients \( 2 \times 4.8 = 9.6 \) and add the exponents \( -12 + 8 = -4 \).

\[
\text{Total mass} = 9.6 \times 10^{-4} \, \text{grams}
\]

### Answer:
The total mass of the population of bacteria after 30 hours is \( 9.6 \times 10^{-4} \) grams.

Would you like further details or clarifications?

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Here are some related questions:
1. How do you convert large numbers to scientific notation?
2. What are the rules for multiplying numbers in scientific notation?
3. How do you handle adding and subtracting exponents in scientific notation?
4. What is the physical significance of the mass of a bacterium being so small?
5. How can exponential growth affect populations in nature?

**Tip:** When multiplying powers of 10, always remember to add the exponents.

A bacterium was found to have a mass of 2 x 10^-12 gram. What is the mass of the population of 480,000,000 bacteria after 30 hours? Write your answer in scientific notation.

Learn how to calculate the total mass of a population of bacteria, given the mass of a single bacterium, using scientific notation. This example uses a population of 480,000,000 bacteria with each bacterium having a mass of 2 x 10^-12 grams. Suitable for high school level studies.

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