The natural numbers.
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Integers are used everyday in life. The counting numbers are a subset of the integers and we use them every day. Another name for the counting numbers is the natural numbers. So the positive integers are used to count objects all around us. Now 0 is an integer also and we use it all the time as you might guess. What about the negative integers? We use those when we talk about very cold temperatures. For example, it is -20 is North Dakota and -20 is a negative integer.
The counting numbers are {1, 2, 3, ...}. The integers are the counting numbers, their opposites (-1, -2, ...) and zero. So they are {..., -2, -1, 0, 1, 2, ...}.
positive
Conventionally, counting numbers are positive integers: 1, 2, 3 , .... 0 and negative numbers are not considered counting numbers.
The product is an integer that may or may not be a counting number.All integers are whole numbers.The counting numbers are {1, 2, 3, ...}The integers are the counting numbers along with 0 and the negative counting numbers, ie {..., -3, -2, -1, 0, 1, 2, 3, ...}The product of two of these is an integer that will be:a negative counting number {..., -3, -2, -1} - the first integer is a counting number, the second is a negative counting numberzero {0} - either, or both, number is zeroa counting number {1, 2, 3, ...} both integers are negative counting numbers.