Adding Negative Integers

Front

What is the result of adding two negative integers?

Back

The result of adding two negative integers is always a negative integer. For example, -4 + (-8) = -12.

Front

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

Back

To add a positive integer and a negative integer, subtract the absolute value of the negative integer from the positive integer. For example, 10 + (-3) = 10 - 3 = 7.

Front

What is the sum of a negative integer and a positive integer?

Back

The sum of a negative integer and a positive integer depends on their absolute values. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative. For example, -1 + 5 = 4.

Front

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

Back

When the positive integer is larger, the result is positive. For example, 8 + (-7) = 1.

Front

What is the result of adding two negative integers?

Back

The result is a more negative integer. For example, -3 + (-2) = -5.

Front

What is the absolute value of a negative integer?

Back

The absolute value of a negative integer is its distance from zero on the number line, expressed as a positive integer. For example, the absolute value of -4 is 4.

Front

How do you determine the sign of the result when adding integers?

Back

The sign of the result depends on the integers being added. If both integers are negative, the result is negative. If one is positive and the other is negative, compare their absolute values to determine the sign.

Front

What is the identity property of addition?

Back

The identity property of addition states that adding zero to any number does not change the number. For example, x + 0 = x.

Front

What is the commutative property of addition?

Back

The commutative property of addition states that the order of adding numbers does not change the sum. For example, a + b = b + a.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped does not change the sum. For example, (a + b) + c = a + (b + c).