Integer Operations - Word Problems

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 yardage in a football game using integers?

Back

A loss in yardage is represented by a negative integer. For example, a loss of 12 yards is represented as -12.

Front

What is the result of adding two negative integers?

Back

The result of adding two negative integers is a more negative integer. For example, -12 + -5 = -17.

Front

How do you calculate the total depth of an object below sea level?

Back

To calculate the total depth, you add the negative values representing the depths. For example, if an object is at -1 meter and goes down another -2 meters, the total depth is -3 meters.

Front

What is the difference between two heights when one is above sea level and the other is below?

Back

To find the difference, you add the absolute values of both heights. For example, if one object is 150 feet below sea level and another is 375 feet above, the difference is 150 + 375 = 525 feet.

Front

How do you determine the temperature at a location if it is colder than another location?

Back

To find the temperature at the colder location, subtract the temperature difference from the warmer location's temperature. For example, if it is -1°F and it is 3 degrees colder, the temperature is -1 - 3 = -4°F.

Front

What does it mean for a number to be below sea level?

Back

A number below sea level is represented as a negative integer, indicating depth under the surface of the sea.

Front

How do you interpret a temperature of -1°F?

Back

A temperature of -1°F indicates that it is 1 degree below the freezing point of water.

Front

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

Back

Negative numbers are used to represent values below a defined reference point, such as sea level, temperature below freezing, or financial losses.

Front

How do you add a positive integer to a negative integer?

Back

To add a positive integer to a negative integer, subtract the absolute value of the negative integer from the positive integer. For example, 5 + (-3) = 5 - 3 = 2.