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What you need to know about integers is that integers is the name for the group of numbers that include whole numbers and negative numbers. But integers DO NOT include fractions.
The numbers called that are used in exponents can be called as a power of a number. The power or exponent can be positive , negative , zero .
1, 2, and 3 are the first three positive integers, but you can't say that they're the first three positive numbers. If you try that, somebody is sure to come along and say "but what about 0.1, 0.2, and 0.3 ?"The fact is, nobody can say what the first (lowest) positive 'number' is. Whatever number you name, no matter how small it is, there is always another one that's smaller and still positive.
INTEGERS
The rational numbers. The set of rational numbers is the set of all numbers that can be expressed as p/q where p and q are integers.