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What is Z plus in maths?

Published in Number Sets 1 min read

Z plus (Z+) in mathematics represents the set of all positive integers.

Understanding Z+

In the context of number sets, Z+ is a specific subset of integers. Let's break it down:

  • Integers (Z): The set of integers includes all whole numbers, both positive and negative, and zero (..., -3, -2, -1, 0, 1, 2, 3,...).

  • Positive Integers (Z+): This set comprises all integers greater than zero. As the provided reference states, these are the numbers 1, 2, 3, and so on.

Z+ in contrast to other related sets:

It's helpful to contrast Z+ with other related integer sets:

Set Description Numbers Included
Z+ Positive Integers 1, 2, 3, 4, 5,...
Z- Negative Integers ..., -5, -4, -3, -2, -1
Znonneg Non-negative integers (positive integers and 0) 0, 1, 2, 3,...
Znonpos Non-positive integers (negative integers and 0) ..., -3, -2, -1, 0

Key Takeaways:

  • Z+ always refers to the set of positive whole numbers.
  • Zero is not included in the set of positive integers (Z+).
  • Z+ is a fundamental set used in various areas of mathematics.