Integer Operations - Word Problems

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What does it mean to add integers?

Back

Adding integers involves combining their values. If both integers are positive, the result is positive. If both are negative, the result is negative. If one is positive and one is negative, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

What does it mean to subtract integers?

Back

Subtracting an integer is the same as adding its opposite. For example, to subtract -3, you add +3.

Front

How do you find the difference between two integers?

Back

To find the difference, subtract the smaller integer from the larger integer. The result can be positive or negative depending on the order of the integers.

Front

What is the absolute value of an integer?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. It is always a non-negative number.

Front

How do you represent a temperature below zero?

Back

Temperatures below zero are represented with a negative sign. For example, -5 degrees means 5 degrees below zero.

Front

What is the result of adding a positive integer and a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

Front

How do you solve a word problem involving temperature changes?

Back

Identify the starting temperature, determine the change (positive or negative), and then add or subtract accordingly.

Front

What is the total loss when a football team loses yards?

Back

The total loss is the sum of all negative yardage. For example, losing 12 yards and then 5 yards results in a total loss of 12 + 5 = 17 yards.