Integer addition and subtraction

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is the result of adding two negative integers, for example, -5 + (-3)?

Back

The result is -8. When adding two negative integers, the sum is more negative.

Front

What is the rule for subtracting integers?

Back

To subtract an integer, add its opposite. For example, to calculate 5 - 3, think of it as 5 + (-3).

Front

Back

The answer is -11.

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. For example, | -4 | = 4.

Front

What happens when you add a positive integer to a negative integer?

Back

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

Front

What is the identity property of addition?

Back

The identity property of addition states that adding zero to any integer does not change its value. For example, 7 + 0 = 7.

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum. For example, 3 + 4 = 4 + 3.

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 their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

Back

The answer is -9.