Adding and Subtracting Integers with Models

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero.

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 the other 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 integers means changing the subtraction sign to addition and using the opposite (or additive inverse) of the second integer.

Front

What is the additive inverse of a number?

Back

The additive inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5.

Front

How do you represent a loss in a football game using integers?

Back

A loss is represented by a negative integer. For example, losing 9 yards is represented as -9.

Front

How do you represent a gain in a football game using integers?

Back

A gain is represented by a positive integer. For example, gaining 17 yards is represented as +17.

Front

What is the result of adding -5 and 5?

Back

The result is 0, because -5 and 5 are additive inverses.

Front

If the temperature drops from 6 degrees F to -3 degrees F, how many degrees did it drop?

Back

It dropped 9 degrees, calculated as 6 - (-3) = 6 + 3 = 9.

Front

What is the result of -10 + 4?

Back

The result is -6, because you subtract 4 from 10 and keep the negative sign.

Front

What is the result of -8 - 5?

Back

The result is -13, because subtracting a positive number from a negative number results in a more negative number.