Grade 8: Module 2 – Exponents and Scientific Notation

Which expression is equivalent to  $3^{-6\ }\times\ 3^8$   

•  $3^{14}$  

•  $3^{-14}$  

•  $3^2$  

•  $-3^2$  

The sum of two numbers is 8. The sum of the squares of the same two numbers is 40. What are the numbers?

• 3 and 5

• 4 and 4

• 2 and 6

• 1 and 7

What is the sum of $(2+5)^2$  and  $4^3$  

• 113

• 78

• 61

• 26

 $3^{-5}\ \times\ 3^9$  

• 12

• 81

• 243

• 324

Which number is equivalent to $\frac{6^{16}}{6^2\times6^{-6}}$  

•  $6^{-4}$  

•  $6^8$  

•  $6^{12}$  

•  $6^{20}$  

Gina moved from a city to a small town. The population of the city is 6 ×  $10^5$  , which is about 12 times as great as the small town. Which expression could 

represent the approximate population of the small town?

•  $5\times10^3$  

•  $5\times10^4$  

•  $6\times10^4$  

•  $6\times10^5$  

What is the quotient of $2.4\times10^{6\ \ }and\ 5\times10^3$  ?

•  $4.8\times10^2$  

•  $4.8\times10^3$  

•  $1.2\times10^{10}$  

•  $12\times10^9$  

Which of the following is greater than 567,793?

• 
  

  $5.6\times10^5$
  

• $5.9\times10^5$

• $4.6\times10^6$

• $9.3\times10^4$

The speed of light in a vacuum is 299,792,458 meters per second. Which number, written in scientific notation, is the best approximation of the speed of light?

• 
  

  $0.3\times10^7$ meters per second
  

• $0.3\times10^8$ meters per second

• $3.0\times10^9$ meters per second

• $3.0\times10^8$ meters per second

What is the value of the expression below?  $\left(7.4\times10^6\right)-\left(3.2\times10^4\right)$  

•  $7.368\times10^4$  

•  $7.368\times10^6$  

•  $7.368\times10^{10}$  

•  $0.7368\times10^4$