Integer Word Problems (All Operations)

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What does it mean to ascend in elevation?

Back

To ascend means to go up or increase in elevation. For example, if you are at -210 meters and ascend 136 meters, you are moving towards sea level.

Front

How do you calculate the change in elevation?

Back

Change in elevation is calculated by subtracting the initial elevation from the final elevation. For example, if you start at -210 meters and end at -74 meters, the change is -74 - (-210) = 136 meters.

Front

What is the formula for calculating speed?

Back

Speed is calculated using the formula: Speed = Distance / Time. For example, if a boat travels 12 miles in 3 hours, its speed is 12 miles / 3 hours = 4 miles per hour.

Front

How do you find the total score in a game with gains and losses?

Back

To find the total score, add the points gained and subtract the points lost. For example, if you gain 10 points twice and lose 15 points three times, the total score is (10 + 10 - 15 - 15 - 15 + 4) = -21.

Front

What does a negative integer represent in real-life situations?

Back

A negative integer often represents a loss, below sea level, or a decrease in value. For example, -12 degrees Fahrenheit indicates a temperature below zero.

Front

How do you determine the change in temperature?

Back

The change in temperature is found by subtracting the initial temperature from the final temperature. For example, if the temperature changes from -12℉ to 35℉, the change is 35 - (-12) = 47℉.

Front

What is the significance of the zero integer?

Back

Zero is an integer that represents a neutral value, indicating no quantity or change. It is neither positive nor negative.

Front

How do you interpret a negative change in elevation?

Back

A negative change in elevation indicates a descent or going down. For example, if a hiker's elevation changes from 100 feet to 50 feet, the change is -50 feet.

Front

What is the relationship between distance, speed, and time?

Back

Distance, speed, and time are related by the formula: Distance = Speed x Time. If you know any two of these values, you can find the third.