consecutive integers
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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.
A counting number is the numbers you lear as a little kid, counting numbers are one and up. Integers include the counting numbers, 0, and the opposite (negative) of counting numbers. So yes, a counting number or the opposite of a counting number is an integer.
The set of Counting Numbers or Natural Numbersincludes positive integers but not negative integers or zero.The set is 1,2,3,4,5,6....and so on.
'0' is the only whole number that is not a counting number. Negative integers do not belong to whole numbers.
Some integers are positive numbers.Some integers are not positive numbers.Some positive numbers are integers.Some positive numbers are not integers.They are two sets whose intersection is the set of counting numbers.