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A biologist is studying the population of a certain
type of bacteria. In one of his samples, the population of
bacteria is estimated to be 3.2x107 bacteria. In another
sample, taken from a different environment, the
population is estimated to be 5.4×106 bacteria.
A. Express the total population of bacteria from both
samples in scientific notation. (Correct answer with a
detailed solution will earn 2 points)

Sagot :

Honeygail31idn

Answer:

Write the populations in scientific notation:

First sample: 3.2 × [tex]10^{7}[/tex]

Second sample: 5.4 × [tex]10^{6}[/tex]

Make the exponents the same:

To add these numbers, the exponents need to be the same. Convert

5.4 × [tex]10^{6}[/tex] to have the same exponent as 3.2 × [tex]10^{7}[/tex].

Note that [tex]10^{7}[/tex] is 10 times larger than [tex]10^{6}[/tex], so:

5.4 × [tex]10^{6}[/tex] = 0.54 × [tex]10^{7}[/tex]

Add the coefficients:

Now, add the coefficients 3.2 and 0.54:

3.2 + 0.54 = 3.74

Combine the results:

Combine the coefficient with the common power of 10:

3.74 × [tex]10^{7}[/tex]

So, the total population of bacteria from both samples, expressed in scientific notation, is 3.74 × [tex]10^{7}[/tex].

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