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About [tex]\(1,500,000\)[/tex] bacteria are found in 1 milliliter of coastal ocean water. How many bacteria will be in 100 milliliters of water?

A. [tex]\(1.5 \times 10^4\)[/tex]
B. [tex]\(1.5 \times 10^5\)[/tex]
C. [tex]\(1.5 \times 10^6\)[/tex]
D. [tex]\(1.5 \times 10^7\)[/tex]
E. [tex]\(1.5 \times 10^8\)[/tex]


Sagot :

To determine the number of bacteria in 100 milliliters of coastal ocean water, given that there are approximately 1,500,000 bacteria per milliliter, we follow these steps:

1. Identify the number of bacteria per milliliter:
[tex]\[ \text{Bacteria per milliliter} = 1,500,000 \][/tex]

2. Identify the volume for which we need to determine the bacteria count:
[tex]\[ \text{Volume} = 100 \text{ milliliters} \][/tex]

3. Calculate the total number of bacteria in 100 milliliters:
[tex]\[ \text{Total bacteria} = \text{Bacteria per milliliter} \times \text{Volume} \][/tex]
Plug in the values:
[tex]\[ \text{Total bacteria} = 1,500,000 \times 100 \][/tex]

4. Perform the multiplication:
[tex]\[ 1,500,000 \times 100 = 150,000,000 \][/tex]

5. Express the result in scientific notation:
[tex]\[ 150,000,000 = 1.5 \times 10^8 \][/tex]

The correct answer is therefore [tex]\(1.5 \times 10^8\)[/tex].

So, the number of bacteria in 100 milliliters of coastal ocean water is:

E. [tex]\(1.5 \times 10^8\)[/tex]
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