Negative Numbers and Integer Operations
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Questions and Answers

What is Luisa's new location after climbing a ladder up 14 feet from being 43 feet underground?

  • -57 feet
  • -29 feet (correct)
  • -43 feet
  • -14 feet
  • If Luisa climbs another 10 feet after her first climb, what will be her location?

  • -39 feet
  • -57 feet
  • -29
  • -19 feet (correct)
  • What is the total depth below sea level of Death Valley?

  • 14,776 feet
  • 0 feet
  • 14,212 feet
  • 282 feet (correct)
  • How would you calculate the total height from Death Valley to Mount Whitney?

    <p>Add the absolute values of the two elevations</p> Signup and view all the answers

    What is the resulting elevation of Luisa after climbing 14 feet from her initial depth of 43 feet underground?

    <p>-29 feet</p> Signup and view all the answers

    What is the elevation of Death Valley in feet?

    <p>-282 feet</p> Signup and view all the answers

    How would you determine the absolute difference between Mount Whitney and Death Valley elevations?

    <p>Add the elevation of Mount Whitney to the absolute value of Death Valley's elevation</p> Signup and view all the answers

    What is the highest point in California?

    <p>Mount Whitney</p> Signup and view all the answers

    If you were to calculate the difference in elevation between Mount Whitney and Death Valley mathematically, what would you essentially be solving for?

    <p>The absolute difference in feet between the highest and lowest points</p> Signup and view all the answers

    If Luisa is currently at -43 feet and climbs a ladder up 14 feet, what will her new depth be?

    <p>-29 feet</p> Signup and view all the answers

    What is the absolute elevation of Mount Whitney in feet?

    <p>14,494 feet</p> Signup and view all the answers

    What is the elevation of the lowest point in California?

    <p>-282 feet</p> Signup and view all the answers

    Which equation correctly expresses the relationship between the elevations of Mount Whitney, Death Valley, and their difference?

    <p>14,494 - (-282) = 14,776</p> Signup and view all the answers

    Study Notes

    Negative Numbers

    • Negative numbers represent values less than zero.
    • The further a negative number is from zero, the smaller its value.
    • For example, -3 is smaller than -1.

    Adding and Subtracting Integers

    • When adding a positive number to a negative number, the result is closer to zero.
    • When subtracting a positive number from a negative number, the result is further from zero.

    Real World Application

    • Luisa's starting location is 43 feet below sea level, represented as -43 feet.
    • Climbing a 14 feet ladder moves her 14 feet closer to the surface.
    • To determine her new location, we subtract 14 from -43, resulting in -29 feet.

    Calculating Elevation Differences

    • Mount Whitney's elevation is 14,494 feet above sea level, represented as +14,494 feet.
    • Death Valley's elevation is 282 feet below sea level, represented as -282 feet.
    • The difference in elevations is calculated by finding the sum of their absolute values: 14,494 + 282 = 14,776 feet.

    Temperature

    • -3° is a negative temperature

    Word Problems

    • Luisa is 43 feet below ground level and climbs 14 feet up.
    • To find her new location, subtract the distance she climbed from her initial depth: -43 feet + 14 feet = -29 feet
    • Therefore, Luisa's new location is 29 feet below ground level.

    Elevation

    • Mount Whitney is at 14,494 feet above sea level.
    • Death Valley is 282 feet below sea level.
    • To find the difference in elevations, add the absolute values of the two elevations: 14,494 feet + 282 feet = 14,776 feet.
    • The difference in elevation between Mount Whitney and Death Valley is 14,776 feet.

    Number Line and Integers

    • -3° is a negative number and represents a temperature below zero degrees.

    Adding and Subtracting Integers

    • Luisa starts at -43 feet underground and climbs 14 feet up.
    • Her new location is -29 feet underground.

    Elevation Differences

    • Mount Whitney's elevation is 14,494 feet above sea level.
    • Death Valley's elevation is 282 feet below sea level.
    • The difference in elevations is 14,776 feet.

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    Description

    This quiz covers the concepts of negative numbers, including their representation and comparison to positive integers. Learn how to perform operations involving negative and positive integers through real-world applications, such as elevation differences. Test your understanding of adding and subtracting integers in practical scenarios.

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