Q: All whole numbers greater than 0 are also called the integers?

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Counting numbers, positive integers, natural numbers.

No. All whole numbers are integers and all integers are whole numbers.

Whole numbers are generally speaking numbers that are "whole" or without fractions and decimals. Generally they are considered to be the natural numbers (or counting numbers) plus zero. The set of whole numbers is {0, 1, 2, 3, ...}. Positive integers are numbers in the set of integers that are greater than zero. The integers {..., -2, -1, 0, 1, 2, ...}. The positive integers {1, 2, 3, ...}. So generally the only difference is whether or not zero is included. Note that there are arguably different sets that can be called whole numbers (such as without the zero, or even somewhat rarely all integers positive and negative).

The set of all whole numbers and their opposites are

Whole numbers which are called integers

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Yes, by definition all positive integers are whole numbers.

Counting numbers, positive integers, natural numbers.

positive integers

They both exclude fractions and irrational numbers. Natural numbers are a subset of whole numbers (also called integers); Natural numbers are any positive whole number (meaning any whole number 1 or greater). Whole numbers, also called integers, can be zero or negative.

Yes, by definition all positive integers are whole numbers.

Whole numbers are integers greater than or equal to zero.

positive integers

Whole numbers are called integers. There are positive integers, for example, 3, and its opposite, a negative integer, -3.

Whole numbers without decimals or fractions are called integers.

They are in the subset of integers which are greater than 1.

No. All whole numbers are integers and all integers are whole numbers.

Always. By definition the Integers are the whole numbers; and the whole numbers are the integers.