NumberOpedia

• The number 0 is the first number in the collection that we call whole numbers.
• The Roman numeral system does not include zero.
• A number is positive if it is greater than 0 and negative if it is less than 0. The number 0 is neither positive nor negative.
• If we add 0 to any number, the result is that number again.
• If we multiply 0 by any number, the result is 0. Thus, 0 + 0 = 0 and 0 ⎼ 0 = 0.
• If the product of two numbers is 0, then one or both must be 0.
• The number 0 is its own negative: 0 = ⎼0.
• If we subtract any number from itself, you get the number 0. For example, 23 ⎼ 23 = 0.
• Every positive power of 0 is 0 (or 0ⁿ = 0 for n > 0). 0⁰ is one of the seven indeterminate firms.
• Any non-zero number divided by 0 is undefined. But 0/0 is one of the seven indeterminate firms.
• The notation 00 seems to make no sense. Ground zero is the point on the ground closest to an exploding bomb.
• In scoring tennis, love is zero.
• 0 often represents false in Boolean algebra.
• In a zero-sum game, one player’s gain equals another player’s loss, resulting in a net sum of zero.
• In coordinate geometry, the origin is where x and y axes intersect is (0, 0).
• In set theory, 0 is the cardinality of the empty set.
• In propositional logic, 0 may be used to denote the truth value false. In lattice theory, 0 may denote the bottom element of a bounded lattice.