Ron Larson
Browse the Topics, Table of Contents, and Index
Follow us:
Twitter Facebook

1.2 Rounding & Calculators

1.2 Rounding & Calculators
<
>
  • 1. Electricity Consumption

    Use the graph to estimate the electricity consumption of the United States. Round your answer so it is reasonable for the context. (See Example 1.)

    • Worked-Out Solution

      From the graph, you can estimate that the consumption of electricity in the United States (in 2008) was about 3900 billion kilowatt hours.

      3,900,000,000,000 kilowatt hours

      Download the spreadsheet of data to determine the actual amount of electricity consumed by the United States in 2008. Was your estimate close?

    Comments (1)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      _____    _    _    _    _    __   __   __   _   
 |__  //  | || | || | |  | ||  \ \\/ // | || | || 
   / //   | || | || | |/\| ||   \ ` //  | '--' || 
  / //__  | \\_/ || |  /\  ||    | ||   | .--. || 
 /_____||  \____//  |_// \_||    |_||   |_|| |_|| 
 `-----`    `---`   `-`   `-`    `-`'   `-`  `-`
    Showing 1 comments
    Subscribe by RSS
    system user
    Guest   7 months ago |
    3,900,000,000,000 kilowatt hours
    0
  • 2. Comparing Electricity Consumption

    Estimate the total electricity consumption of Japan, Russia, India, and Canada. Is it greater than or less than the electricity consumption of the United States? (See Example 1.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     _    _     ______    _  __   __   __            
| \  / ||  /_   _//  | |/ //  \ \\/ //     ___   
|  \/  ||   -| ||-   | ' //    \ ` //     /   || 
| .  . ||   _| ||_   | . \\     | ||     | [] || 
|_|\/|_||  /_____//  |_|\_\\    |_||      \__ || 
`-`  `-`   `-----`   `-` --`    `-`'       -|_|| 
                                            `-`
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 3. Electricity Consumption per Person

    In 2008, the population of the United States was about 304 million. Use the graph to estimate the amount of electricity consumed per person. Round your answer so it is reasonable for the context. (See Example 1.)

    • Worked-Out Solution

      To estimate the electricity consumption per person, divide the consumption by the population.

      3,900,000,000,000 kilowatt-hrs divided by 304,000,000 people = 12,829 kilowatt-hours per person

      In 2008, the U.S. electricity consumption was about 13,000 kilowatt-hours per person.

      Calculator Hint:

      When entering numbers like these into a calculator, you can save keystrokes by dividing out the same number of zeros from the numerator and denominator.

      3,900,000 kilowatt-hrs (the ,000,000 is cancelled) divided by 304 people (the ,000,000 is cancelled)

    Comments (1)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      _____    _    _    _____      ______    _____   
 /  ___|| | || | || |  __ \\   /_   _//  |__  //  
| // __   | || | || | |  \ ||   -| ||-     / //   
| \\_\ || | \\_/ || | |__/ ||   _| ||_    / //__  
 \____//   \____//  |_____//   /_____//  /_____|| 
  `---`     `---`    -----`    `-----`   `-----`
    Showing 1 comments
    Subscribe by RSS
    system user
    Guest   9 months ago |
    REZOM
    0
  • 4. Comparing Electricity Consumption per Person

    In 2008, the population of Canada was about 33 million. Estimate the amount of electricity consumed per person. Which country consumed more electricity per person, Canada or the United States? (See Example 1.)

    Comments (2)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     _    _     ______    ____       ___     _    _   
| \  / ||  /_   _//  |  _ \\    / _ \\  | \  / || 
|  \/  ||   -| ||-   | |_| ||  | / \ || |  \/  || 
| .  . ||   _| ||_   | .  //   | \_/ || | .  . || 
|_|\/|_||  /_____//  |_|\_\\    \___//  |_|\/|_|| 
`-`  `-`   `-----`   `-` --`    `---`   `-`  `-`
    Showing 2 comments
    Subscribe by RSS
    system user
    Guest   9 months ago |
    guest
    0
    system user
    Guest   9 months ago |
    NARYM
    0
  • 5. Comparing Refrigerator Costs

    Two refrigerator models and their annual electricity consumptions are shown. Assume the price of electricity is $0.1202 per kilowatt-hour (kWh). (See Example 2.)

    1. Estimate the annual electricity cost of each model.
    2. How much money will you save in electric bills each year if you buy the top-freezer model instead of the side-by-side model?

    • Worked-Out Solution

      1. To estimate the annual electricity cost, multiply the usage by the cost.

        top freezer = 529 kWhr divided by 1 year times $0.1202/1 kWhr = $63.59 per year
      2. You will save about 76 - 64 = $12 a year in electric bills.
    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     ______    __   __  __    __     ___     _    _   
|      \\  \ \\/ // \ \\ / //   / _ \\  | \  / || 
|  --  //   \ ` //   \ \/ //   / //\ \\ |  \/  || 
|  --  \\    | ||     \  //   |  ___  ||| .  . || 
|______//    |_||      \//    |_||  |_|||_|\/|_|| 
`------`     `-`'       `     `-`   `-` `-`  `-`
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 6. Comparing Refrigerator Costs

    Two refrigerator models and their annual electricity consumptions are shown. Assume the price of electricity is $0.1202 per kilowatt-hour (kWh). A top-freezer model with an ice dispenser consumes 90 kilowatt-hours per year more than the standard top-freezer model. (See Example 2.)

    1. Estimate the annual electricity cost of the top-freezer model with the ice dispenser.
    2. How much does the ice dispenser add to the annual electricity cost of the top-freezer model?

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      _  __   _    _     ______   _    _    _____    
 | |/ // | || | ||  /_   _// | || | || |  __ \\  
 | ' //  | || | ||  `-| |,-  | || | || | |  \ || 
 | . \\  | \\_/ ||    | ||   | \\_/ || | |__/ || 
 |_|\_\\  \____//     |_||    \____//  |_____//  
 `-` --`   `---`      `-`'     `---`    -----`
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 7. Comparing Refrigerator Costs

    Two refrigerator models and their annual electricity consumptions are shown. Assume the price of electricity is $0.1202 per kilowatt-hour (kWh). Your current refrigerator consumes 700 kilowatt-hours per year and should last about 7 more years. (See Example 2.)

    1. How much will your current refrigerator cost you over the next 7 years?
    2. How much would the top-freezer model cost you over the same time period?
    3. You buy the top-freezer model for $549.99. Will the difference in electricity costs over the next 7 years cover the price of the new refrigerator? Explain.

    • Worked-Out Solution
      1. Your current refrigertor will cost about
        $84.14 per year
        This is about $84.17 x 7 = $590 over the next 7 years.

      2. From Exercise 5, the top-freezer model would cost about

        7 x 64 = $448

        over the next 7 years.

      3. The difference in the costs of electricity during the 7 years is only about $140. By itself, this does not justify getting rid of your current refrigerator and buying a more efficient model. On the other hand, when your current refrigerator quits working in 7 years, it would be good to consider buying the more "planet friendly" model.

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     ______     _____    _    _     _____     ____    
|      \\  |  ___|| | || | ||  |  ___||  |  _ \\  
|  --  //  | ||__   | || | ||  | ||__    | |_| || 
|  --  \\  | ||__   | \\_/ ||  | ||__    | .  //  
|______//  |_____||  \____//   |_____||  |_|\_\\  
`------`   `-----`    `---`    `-----`   `-` --`
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 8. Finding Electric Bill Savings

    Two refrigerator models and their annual electricity consumptions are shown. Assume the price of electricity is $0.1202 per kilowatt-hour (kWh). You own the top-freezer model. Suppose the price of electricity decreases to $0.12 per kilowatt-hour. How much will you save in electric bills each year? (See Example 2.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     __   _    __   __   _    _    __   __    ____    
| || | ||  \ \\/ // | \  / ||  \ \\/ //  |  _ \\  
| '--' ||   \ ` //  |  \/  ||   \ ` //   | |_| || 
| .--. ||    | ||   | .  . ||    | ||    | .  //  
|_|| |_||    |_||   |_|\/|_||    |_||    |_|\_\\  
`-`  `-`     `-`'   `-`  `-`     `-`'    `-` --`
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
©Larson Texts, Inc. All Rights Reserved.