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1.2 Rounding & Calculators

1.2 Rounding & Calculators
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  • 9. Classifying Plankton by their Size

    Write the length of a copepod plankton in exponential form. Then use the chart to classify the plankton. (See Example 3 and Example 4.)

    • Worked-Out Solution

      In exponential form, the length of a copepod plankton is

      0.0012 meter = 1.2 x 10 raised to the -3 meter

      This length falls between 2 x 10 raised to the -4 and 2 x 10 raised to the -3 So, copepod plankton are classified as meso-plankton.

      Comparing Numbers in Exponential Form

      See that 1.2 x 10 raised to the -3 lies between 2 x 10 raised to the -4 and 2 x 10 raised to the -3 write all three in decimal form.

      0.0002 < 0.0012 < 0.0020

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     _____     _    _   __    __   __   __   __   _   
    |  __ \\  | || | || \ \\ / //  \ \\/ // | || | || 
    | |  \ || | || | ||  \ \/ //    \ ` //  | '--' || 
    | |__/ || | \\_/ ||   \  //      | ||   | .--. || 
    |_____//   \____//     \//       |_||   |_|| |_|| 
     -----`     `---`       `        `-`'   `-`  `-`  
                                                      
    
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  • 10. Classifying Plankton by their Size

    Write the length of the golden algae in exponential notation. Then use the chart to classify the plankton. (See Example 3 and Example 4.)

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      _  _     ______    _  __     ___     ______   
     | \| ||  /_   _//  | |/ //   / _ \\  |      \\ 
     |  ' ||   -| ||-   | ' //   / //\ \\ |  --  // 
     | .  ||   _| ||_   | . \\  |  ___  |||  --  \\ 
     |_|\_||  /_____//  |_|\_\\ |_||  |_|||______// 
     `-` -`   `-----`   `-` --` `-`   `-` `------`  
                                                    
    
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  • 11. Classifying Marine Viruses by their Size

    Marine viruses are a type of plankton. The length of a marine virus is less than 2.0 × 10−7 meter. Write this number in standard decimal notation and describe it in words. Use the chart to classify the virus.(See Example 3 and Example 4.)

    • Worked-Out Solution

      In decimal form, the length of a marine virus is

      2 x 10 raised to the -7 = 0.0000002 meter

      This implies that marine viruses are classified as femto-planton.

      On average, a drop of seawater contains about 10 million virus particles. Most of the viruses only infect bacteria, and are harmless to plants and animals.

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     _____       ___     ______     _____     _____   
    |  __ \\    / _ \\  |      \\  |  ___||  / ____|| 
    | |  \ ||  / //\ \\ |  --  //  | ||__   / //---`' 
    | |__/ || |  ___  |||  --  \\  | ||__   \ \\___   
    |_____//  |_||  |_|||______//  |_____||  \_____|| 
     -----`   `-`   `-` `------`   `-----`    `----`  
                                                      
    
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  • 12. Amount of Plankton to Feed a Whale

    A blue whale eats about 5000 pounds of plankton per day during a 120-day feeding period. How many pounds of plankton does the whale eat in one feeding period? Write your answer in standard decimal notation and in exponential notation. (See Example 3 and Example 4.)

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      _____     ______    _____      ___      _____   
     |__  //   /_   _//  |__  //    / _ \\   |__  //  
       / //     -| ||-     / //    | / \ ||    / //   
      / //__    _| ||_    / //__   | \_/ ||   / //__  
     /_____||  /_____//  /_____||   \___//   /_____|| 
     `-----`   `-----`   `-----`    `---`    `-----`  
                                                      
    
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