Comparing Numbers Written in Scientific Notation

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,  

Which number is the greatest?

• 5.25 x 10⁵

• 2.55 x 10⁵

• 5.55 x 10⁵

• 5 x 10⁵

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 

Which of the following numbers is the least?

• 7 x 10⁸

• 7.1 x 10⁸

• 7 x 10⁹

• 7.1 x 10⁹

To compare two numbers that are in scientific notation, first compare the​ (a)   . If they are the same, then compare the​ (b)   .​

• exponents

• decimals

Fill in the blank: Order from greatest to least:

3.1 x 10⁴, 3.2 x 10³, _________, 3.3 x 10^-2

• 9.2 x 10²

• 3.3 x 10³

• 4.5 x 10⁵

• 1.2 x 10^-3

Order the following from least to greatest.

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

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

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

50.1 x 10^-3  >  4.8 x 10^-1

• True

• False

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

• Large

• Small

• Basic

Which of these numbers is the smallest?

• 3.5 x10⁷

• 3 x10⁷

• 5 x10⁷

• 5.5 x10⁷