'0' is the only whole number that is not a counting number. Negative integers do not belong to whole numbers.
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Yes all counting numbers are whole numbers, but the reverse is not true (zero!)
All of the counting numbers are whole numbers. Counting numbers consist of 1, 2, 3, 4, etc. Whole numbers are numbers that have no fractional parts. Since none have fractional parts, they are all whole numbers.
Whole numbers are the set of natural or counting numbers inclding zero
You don't "count with fractions". Counting is done with natural numbers.