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===Integers=== {{Main|Integer}} The negative of a positive integer is defined as a number that produces 0 when it is added to the corresponding positive integer. Negative numbers are usually written with a negative sign (a [[minus sign]]). As an example, the negative of 7 is written β7, and {{nowrap|7 + (β7) {{=}} 0}}. When the [[set (mathematics)|set]] of negative numbers is combined with the set of natural numbers (including 0), the result is defined as the set of [[integer]]s, '''Z''' also written [[Blackboard bold|<math>\mathbb{Z}</math>]]. Here the letter Z comes {{ety|de|Zahl|number}}. The set of integers forms a [[ring (mathematics)|ring]] with the operations addition and multiplication.<ref>{{Mathworld|Integer|Integer}}</ref> The natural numbers form a subset of the integers. As there is no common standard for the inclusion or not of zero in the natural numbers, the natural numbers without zero are commonly referred to as '''positive integers''', and the natural numbers with zero are referred to as '''non-negative integers'''.
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