4.1 Model 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 are the four basic operations that can be performed on integers?

Back

The four basic operations are addition, subtraction, multiplication, and division.

Front

How do you add two integers with the same sign?

Back

When adding two integers with the same sign, add their absolute values and keep the common sign. For example, -3 + -5 = -8.

Front

How do you add two integers with different signs?

Back

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -3 + 5 = 2.

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, 5 - (-3) = 5 + 3 = 8.

Front

What is the product of two negative integers?

Back

The product of two negative integers is a positive integer. For example, -2 * -3 = 6.

Front

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

Back

The product of a positive integer and a negative integer is a negative integer. For example, 4 * -2 = -8.

Front

How do you divide integers?

Back

To divide integers, divide their absolute values and apply the sign rules: if both integers have the same sign, the result is positive; if they have different signs, the result is negative.

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, the absolute value of -4 is 4.

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 + 5 = 5 + 3.