Scientific Notation Review

3908 Nyx is an asteroid between Mars and Jupiter. Let d represent the approximate distance from 3908 Nyx to the Sun.     

The average distance from Venus to the Sun is about   $7\times10^7$  miles. The average distance from Jupiter to the Sun is about  $5\times10^8$   miles.     

At a certain time of year, the square of the distance from 3908 Nyx to the sun is equal to the product of the average distance from Venus to the Sun and the average distance from Jupiter to the Sun. This equation can be used to find the distance from 3908 Nyx to the Sun, d, at this time of year.       
 $d^2=\left(7\times10^7\right)\left(5\times10^8\right)$  
Which of the following numbers is equal to  $d^2$  ?

•  $1.2\times10^{16}$  

•  $3.5\times10^{16}$  

•  $1.2\times10^{57}$  

•  $3.5\times10^{57}$  

The table above displays the amount of garbage produced by each country annually.

Given the information in the table, which country produces the most garbage, and what are the most appropriate units for measuring that unit?

• Japan; ounces

• United States; ounces

• Japan; tons

• United States; tons

In 2005, the U.S. Mint in Denver produced  $4.04\times10^8$     Oregon state quarters. What is  $4.04\times10^8$  written in standard notation?

• 40,400,000

• 404,000,000

• 4,040,000,000

• 40,400,000,000

A brand new one-dollar bill is  $4.3\times10^{-3}$  inch thick. What would be the thickness of a stack of 200 brand new one-dollar bills?

• 0.63 inch

• 0.86 inch

• 6.3 inch

• 8.6 inch

Pittsfield and Provincetown are approximately 258,000 meters apart. Which of the following shows this number in scientific notation?

• $258\times10^3$

• $258\times10^{-3}$

• $2.58\times10^5$

• $2.58\times10^{-5}$

What is the value of the expression  $\left(4\times10^{-6}\right)\left(5\times10^9\right)$  in scientific notation?

•  $2\times10^3$  

•  $2\times10^4$  

•  $20\times10^3$  

•  $20\times10^{-15}$  

A company’s profit of $ $1.71\times10^6$  will be shared equally by its 3,800 employees. How much money will each employee receive?

• $ $4.5\times10^2$  

• $ $4.5\times10^1$  

• $ $4.5\times10^3$  

• $ $4.5\times10^5$  

Which expression can be used to find the product $\left(5.8\times10^{34}\right)\left(4.7\times10^{15}\right)$ ?

• $\left(5.8+4.7\right)\times10^{34\times15}$

• $\left(5.8+4.7\right)\times10^{34+15}$

• $\left(5.8\times4.7\right)\times10^{34\times15}$

• $\left(5.8\times4.7\right)\times10^{34+15}$

 What is the value of  $\frac{8.4\times10^{36}}{3\times10^9}$  ?

•  $2.8\times10^4$  

•  $5.4\times10^4$  

•  $2.8\times10^{27}$  

•  $5.4\times10^{27}$  

The population of a city was $5.27408\times10^5$  in 2002. By 2010, the population of the city had increased by  $1.000894\times10^5$ . What is the total population of the city in 2010?

• 100,894

• 426,514

• 527,408

• 628,302