Adding and Subtracting Integers1

Front

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

Back

The result depends on the absolute values of the integers. If the positive integer has a greater absolute value, the result is positive; if the negative integer has a greater absolute value, the result is negative.

Front

How do you subtract a positive integer from a negative integer?

Back

To subtract a positive integer from a negative integer, you can think of it as adding the negative of that positive integer. For example, -7 - 2 is the same as -7 + (-2), which results in a more negative number.

Front

What is the sum of two negative integers?

Back

The sum of two negative integers is always negative. For example, -9 + (-5) = -14.

Front

What is the result of adding two integers with the same sign?

Back

When adding two integers with the same sign, you add their absolute values and keep the common sign. For example, -8 + (-3) = -11.

Front

What is the result of adding two integers with different signs?

Back

When adding two integers with different signs, you subtract their absolute values and take the sign of the integer with the larger absolute value.

Front

What is the identity property of addition?

Back

The identity property of addition states that the sum of any number and zero is that number. For example, x + 0 = x.

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 positive counterpart. For example, 12 - (-2) = 12 + 2 = 14.

Front

What is the result of adding zero to an integer?

Back

Adding zero to an integer does not change the value of the integer. For example, 5 + 0 = 5.

Front

How do you determine the result of -10 + 10?

Back

The result is 0 because the positive and negative integers cancel each other out.

Front

What is the difference between addition and subtraction of integers?

Back

Addition combines values, while subtraction finds the difference between values. Subtraction can be thought of as adding a negative.