Integer Operations

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 multiplying a negative integer by a positive integer?

Back

The result is always a negative integer. For example, -7 x 4 = -28.

Front

What is the result of dividing two negative integers?

Back

The result is a positive integer. For example, (-25) ÷ (-5) = 5.

Front

What happens when you subtract a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its positive counterpart. For example, 3 - (-13) = 3 + 13 = 16.

Front

What is the result of multiplying a positive integer by a negative integer?

Back

The result is always a negative integer. For example, 4 x (-6) = -24.

Front

What is the result of subtracting a larger integer from a smaller integer?

Back

The result is a negative integer. For example, 3 - 11 = -8.

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, |-5| = 5.

Front

How do you add two negative integers?

Back

When adding two negative integers, the result is a negative integer whose absolute value is the sum of the absolute values of the two integers. For example, -3 + (-5) = -8.

Front

What is the commutative property of addition?

Back

The commutative property states that changing the order of the numbers being added does not change the sum. For example, 2 + 3 = 3 + 2.

Front

What is the associative property of addition?

Back

The associative property states that the way in which numbers are grouped when adding does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).