Integer Word Problems- All Operations

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

How do you represent a loss in financial terms using integers?

Back

A loss is represented as a negative integer. For example, a loss of $130 is represented as -130.

Front

What does it mean for a coastline to recede?

Back

When a coastline recedes, it means that the land is eroding or disappearing, which can be represented as a negative change in distance.

Front

How do you calculate the total change in elevation when moving up or down?

Back

To calculate the total change in elevation, subtract the final elevation from the initial elevation. A positive result indicates an ascent, while a negative result indicates a descent.

Front

What is the significance of negative integers in real-world applications?

Back

Negative integers are used to represent values below a reference point, such as debt, loss, or depth below sea level.

Front

How do you find the distance between two points when one is above and the other is below a reference point?

Back

To find the distance, add the absolute values of both elevations. For example, if one point is 40 feet below and the other is 12 feet above, the distance is |−40| + |12| = 52 feet.

Front

What is the formula for calculating average change in elevation over time?

Back

The average change in elevation can be calculated by dividing the total change in elevation by the time taken. For example, if the elevation changes by -300 feet over 20 minutes, the average change is -300/20 = -15 feet per minute.

Front

How do you interpret a negative result in a word problem involving elevation?

Back

A negative result indicates a descent or a position below a reference point, such as sea level or ground level.

Front

What is the relationship between positive and negative integers in word problems?

Back

Positive integers typically represent gains, heights, or profits, while negative integers represent losses, depths, or deficits.

Front

How can you visualize the concept of integers on a number line?

Back

On a number line, integers are represented as points along the line, with positive integers to the right of zero and negative integers to the left.