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It looks like the question you're focusing on involves the following problem:

**4. A bacteriologist estimates that there are \( 5.2 \times 10^4 \) bacteria growing in each of 20 petri dishes. About how many bacteria in total are growing in the petri dishes? Express your answer in scientific notation.**

Let's break it down:

1. Each petri dish has \( 5.2 \times 10^4 \) bacteria.
2. There are 20 petri dishes.
3. To find the total number of bacteria, multiply the number of bacteria in each dish by the number of petri dishes:

\[
(5.2 \times 10^4) \times 20
\]

We can rewrite 20 as \( 2.0 \times 10^1 \). So, the expression becomes:

\[
(5.2 \times 10^4) \times (2.0 \times 10^1)
\]

Using the properties of exponents, we multiply the numbers first and then add the exponents:

\[
5.2 \times 2.0 = 10.4
\]
\[
10^4 \times 10^1 = 10^{4+1} = 10^5
\]

Thus, the total number of bacteria is:

\[
10.4 \times 10^5
\]

To express this in scientific notation, we adjust the decimal point:

\[
10.4 \times 10^5 = 1.04 \times 10^6
\]

So, the total number of bacteria in the 20 petri dishes is approximately:

\[
1.04 \times 10^6
\]

Would you like further clarification on any steps?

Here are 5 related questions to explore:
1. How do you convert a large number into scientific notation?
2. What is the rule for multiplying numbers with exponents?
3. How do you adjust a number to fit proper scientific notation?
4. How would you handle this problem if the number of bacteria per dish was not in scientific notation?
5. What is the purpose of using scientific notation in biology?

**Tip:** When multiplying numbers in scientific notation, remember to multiply the coefficients (numbers in front) and add the exponents for powers of ten.

A bacteriologist estimates that there are 5.2 x 10^4 bacteria growing in each of 20 petri dishes. About how many bacteria in total are growing in the petri dishes? Express your answer in scientific notation.

Find out how to calculate the total number of bacteria growing in 20 petri dishes by multiplying in scientific notation. The problem involves multiplying 5.2 x 10^4 by 20 and applying the laws of exponents. Ideal for students in Grades 6-8.

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