Q: What is the difference between integers and counting numbers?

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The set of counting (natural) numbers is the set of all positive integers, while the set of whole numbers is the set of all positive integers included zero.

Conventionally, counting numbers are positive integers: 1, 2, 3 , .... 0 and negative numbers are not considered counting numbers.

The natural numbers.

They are not. Counting numbers are a proper subset of whole numbers. Negative integers (-1, -2, -3 etc) are whole numbers but they are not counting numbers.

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The set of counting (natural) numbers is the set of all positive integers, while the set of whole numbers is the set of all positive integers included zero.

No- not exactly. Negative integers are not counting numbers. Positive integers are identified with counting numbers. Many authors like to start with zero as a counting number.

Counting numbers are a proper subset of whole numbers which are the same as integers which are a proper subset of rational numbers.

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Usually all the integers (counting numbers) from 1 to 100.Usually all the integers (counting numbers) from 1 to 100.Usually all the integers (counting numbers) from 1 to 100.Usually all the integers (counting numbers) from 1 to 100.

If you have drawn a number line counting in whole numbers, the integers are those whole number points. Any decimal numbers in between are not integers.

counting numbers

Natural numbers or integers are other names for counting numbers.

No. 0 and negative integers are whole numbers but they are not counting numbers.

The term "whole number" is somewhat ambiguous. It MAY refer to integers; or it MAY refer only to non-negative integers ("counting numbers").

Yes. Natural numbers are the counting numbers we use. Integers however contains also the negative values. So yes, natural numbers are integers, but the converse is not true though: integers are counting numbers is false.

Negative numbers are not counting numbers. Counting numbers are the integers starting with 1 and then 2 and so forth.