Scientific Notation: Compare, Order, Word Problems

Scientific Notation: Compare, Order, Word Problems

By Robin Parker

Multiple Choice

How do you write
8.317 x 10⁶
in standard form?

• 8, 371, 000
• 83, 170, 000
• 837, 100
• 8, 317, 000

Multiple Choice

Express the following in standard notation:
8.025 x 10^-8

• .00000008025
• .000000008025
• 802,500,000,000
• 80,250,000,000

Multiple Choice

Which of the following is an equivalent expression for $$4^2-4^{-6}?$$  

• $$4^8$$  

• $$4^7$$  

• $$\frac{1}{4^4}$$  

• $$\frac{1}{4^{-4}}$$  

Multiple Choice

Place the following numbers in order from least to greatest:
7.8 x 10⁶,    5.1 x 10⁴,  
1.25 x 10⁵,    4.09 x 10⁴

• 4.09 x 10⁴,   
  1.25 x 10⁵,    
  5.1 x 10⁴,   
  7.8 x 10⁶,
• 4.09 x 10⁴,    
  5.1 x 10⁴,    
  1.25 x 10⁵,  
  7.8 x 10⁶, 
• 1.25 x 10⁵,  
  4.09 x 10⁴,    
  5.1 x 10⁴,     
  7.8 x 10⁶,  

Multiple Choice

Order the following from greatest to least:
 5 x 10³ 
 3.2 x 10⁸
 1.2 x 10⁸
 7 x 10⁵ 

•  7 x 10⁵ ,  5 x 10³ ,
   3.2 x 10⁸,  1.2 x 10⁸
•  3.2 x 10⁸, 1.2 x 10⁸,  7 x 10⁵, 5 x 10³ 
•  1.2 x 10⁸, 3.2 x 10⁸,
   5 x 10³ , 7 x 10⁵ 

Multiple Choice

Order the following from least to greatest:

6.8 x 10⁶
6 x 10⁶
6.6 x 10⁶
6.1 x 10⁶

• 6.8 x 10⁶
  6 x 10⁶
  6.6 x 10⁶
  6.1 x 10⁶
• 6.8 x 10⁶
  6 x 10⁶
  6.6 x 10⁶
  6.1 x 10⁶
• 6 x 10⁶
  6.1 x 10⁶
  6.6 x 10⁶
  6.8 x 10⁶
  

Multiple Choice

The dimensions of an office building are 1.5 x 10² feet by 1.35 x 10³ feet. What is the perimeter of the base of the building, in feet? 

• 1.50 x 10³
• 2.85 x 10 ⁵
• 3.00 x 10 ³
• 5.70 x 10 ⁵

Multiple Choice

A microgram is equal to 1 x 10 ^-6 grams. How many times greater than a microgram is 1 x 10² grams? 

• 1 x 10^-8
• 1 x 10^-4
• 1 x 10⁴
• 1 x 10⁸

Multiple Choice

A computer's hard disk drive holds 8 x 10⁷ bytes of information.  If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

• 11 x 10¹³
• 11 x 10⁷
• 8.3 x 10¹³
• 8.3 x 10⁷

Multiple Choice

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

• 3.326 x 10⁵
• 3.326 x 10⁶
• 1.99 x 10³⁰
• 1.99 x 10⁶

Multiple Choice

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

• 7400
• 740
• 7.4 x 10⁴
• 7.4 x 10¹