Problem 63 - Algebra 1

Question

Write a positive number, a negative number, or zero to represent the elevation of the location. Elevation is represented by comparing a location to sea level, which is given a value of zero. A location above sea level has a positive elevation, and a location below sea level has a negative elevation. View Orleans, Louisiana, 8 feet below sea level

Step-by-Step Solution

Answer

-8

Step 1: Understand the context

In this exercise, the student is asked to represent the elevation of a location as a positive, negative, or zero number. The reference point is sea level, which is given a value of zero.

Step 2: Determine the position relative to sea level

Orleans, Louisiana, is stated to be 8 feet below sea level. Thus, it has a negative elevation relative to sea level.

Step 3: Write the number to represent the location’s elevation

Since Orleans, Louisiana, is 8 feet below sea level, the elevation should be represented as -8.

Key Concepts

Positive Numbers

Positive numbers are numbers greater than zero. They are used in a variety of daily situations, including measuring quantities and expressing values that are above a certain point of reference.

• In the context of elevation, a positive number indicates a location above sea level.
• The notation for a positive number is simply just the number itself, for instance, if a hill is 30 feet above sea level, we write it as 30.

When working with positive numbers in elevation, imagine standing on top of a hill or mountain. The height from sea level to the summit is your positive elevation. Such representations help in geography and environmental science to determine whether a place is at a higher altitude.

Negative Numbers

Negative numbers are numbers less than zero. They are primarily used to represent values that fall below a given reference point.

• In the realm of elevations, a negative number shows that a place is below sea level.
• For example, if a place is 10 feet below sea level, the elevation would be noted as -10.

These numbers are incredibly useful in understanding various phenomena, particularly in scientific disciplines, to show deficits or reductions. When Orleans, Louisiana is specified as 8 feet below sea level — it is written as -8, indicating its location is lower than the baseline of sea level.

Sea Level

Sea level is a critical reference point in geography and earth sciences. It represents the average height of the ocean's surface and is used globally to measure elevation and depth.

• Sea level is assigned the value of zero in elevation measurement.
• This level is important for mapping, navigation, and understanding geological features.

The concept of sea level allows us to compare the elevation of different locations accurately. Elevations are calculated from this baseline, helping determine how high or low a place is in relation to the average sea surface.

Elevation

Elevation refers to the height of a location relative to sea level. It is a vital concept in geography which helps in understanding terrain and topography.

• A positive elevation indicates a point above sea level.
• A negative elevation suggests a below-sea-level location.
• Zero elevation signifies that the location is exactly at sea level.

Understanding elevation can help in predicting weather patterns, planning construction, and assessing environmental risk. For example, high-elevation areas often experience cooler temperatures compared to low-elevation places.

Zero

Zero serves as an important neutral point in the number line, particularly in the context of elevation and representations of height.

• Zero elevation indicates that a location is precisely at sea level.
• It's both a starting point for positive elevations (above sea level) and a marker below which negative elevations (below sea level) are measured.

In mathematics, zero acts as a dividing line between positive and negative numbers. This point of reference helps in distinguishing different elevations in geographic studies, ensuring clarity in measurements like determining whether a port is above or beneath sea level.