Negative

Definition: Set of all negative integers
$\mathbb{Z}^- = \left\{ n\in\mathbb{Z} | n < 0 \right\}$

A real number is said to be negative if its value is less than zero.

Properties

• Negative + Negative = Negative
• Negative * Positive = Negative
• Negative * Negative = Positive
• Due to the two previous properties, every even power of a negative is positive , and every odd power of a negative is negative.
• A negative number does not have a real number square root . In fact , the $2n^{\text{th}}$ root of a negative is not a real number when $n$ is natural.

See also

• Positive
• Zero