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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?
If Luisa climbs another 10 feet after her first climb, what will be her location?
What is the total depth below sea level of Death Valley?
How would you calculate the total height from Death Valley to Mount Whitney?
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What is the resulting elevation of Luisa after climbing 14 feet from her initial depth of 43 feet underground?
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What is the elevation of Death Valley in feet?
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How would you determine the absolute difference between Mount Whitney and Death Valley elevations?
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What is the highest point in California?
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If you were to calculate the difference in elevation between Mount Whitney and Death Valley mathematically, what would you essentially be solving for?
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If Luisa is currently at -43 feet and climbs a ladder up 14 feet, what will her new depth be?
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What is the absolute elevation of Mount Whitney in feet?
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What is the elevation of the lowest point in California?
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Which equation correctly expresses the relationship between the elevations of Mount Whitney, Death Valley, and their difference?
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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.
