Select the correct answer.

About [tex]$1,500,000$[/tex] bacteria are found in 1 milliliter of coastal ocean water. How many bacteria will be there 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]



Answer :

To determine how many bacteria will be in 100 milliliters of coastal ocean water, given that there are about 1,500,000 bacteria per milliliter, we need to perform a simple multiplication:

1. Understand the given information:
- There are 1,500,000 bacteria in 1 milliliter of water.

2. Determine our goal:
- We want to find out how many bacteria will be in 100 milliliters of water.

3. Calculation:
- The number of bacteria in 1 milliliter is 1,500,000.
- We need to multiply this by the number of milliliters, which is 100.

[tex]\[ \text{Total bacteria} = \text{Bacteria per milliliter} \times \text{Number of milliliters} \][/tex]

[tex]\[ \text{Total bacteria} = 1,500,000 \times 100 \][/tex]

4. Perform the multiplication:

[tex]\[ 1,500,000 \times 100 = 150,000,000 \][/tex]

So, there are 150,000,000 bacteria in 100 milliliters of water.

The answer in scientific notation is:

[tex]\[ 150,000,000 = 1.5 \times 10^8 \][/tex]

Thus, the correct answer is:

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