Middle School

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There are 2,010 Starbucks in California. The population of California is 38.8 million.

Which of the following best represents the Starbucks per capita in scientific notation?

A. \(1.93 \times 10^4\)
B. \(5.18 \times 10^{-4}\)
C. 51.8
D. \(5.18 \times 10^{-5}\)

Answer :

Answer:

5.18x10-5 is the correct answer

Step-by-step explanation:

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Rewritten by : Barada

Scientific notations are used to represent relatively large and small numbers.

The population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

The populations are given as:

[tex]Starbucks = 2010[/tex]

[tex]People = 38.8\ million[/tex]

The population of Starbucks per capita is calculated by dividing the population of Starbucks by the population of the people.

So, we have:

[tex]Per\ Capita = \frac{Starbucks}{People}[/tex]

Substitute known values

[tex]Per\ Capita = \frac{2010}{38.8\ million}[/tex]

Divide

[tex]Per\ Capita = 0.00005180412[/tex]

Approximate

[tex]Per\ Capita = 0.0000518[/tex]

Express as scientific notation

[tex]Per\ Capita = 5.18 \times 10^{-5}[/tex]

Hence, the population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

Read more about scientific notation at:

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