integers

what is KCF (KFC)

Integer

A number with no fractional or decimal part that belongs to the set containing positive whole numbers, negative whole numbers, and zero (e.g., $\dots, -3, -2, -1, 0, 1, 2, 3, \dots$).

Absolute value

The distance between a number and $0$ on a number line, denoted as $|x|$, which is always non-negative.

Additive inverse

The opposite of a given number that, when added to the original number, yields a sum of $0$ (e.g., the additive inverse of $5$ is $-5$).

Adding integers with the same sign

Add their absolute values together and attach the common sign to the result (e.g., $-4 + (-3) = -7$).

Adding integers with different signs

Subtract the smaller absolute value from the larger absolute value and attach the sign of the integer with the larger absolute value (e.g., $-7 + 3 = -4$).

Subtracting integers

Add the additive inverse of the integer being subtracted, written as $a - b = a + (-b)$, and apply addition rules.

Multiplying or dividing integers with the same sign

The product or quotient is always positive (e.g., $-6 \times (-2) = 12$).

Multiplying or dividing integers with different signs

The product or quotient is always negative (e.g., $-6 \times 2 = -12$).