natural numbers can not be negative.
integers can be both positive and negative.
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Not necessarily. The difference between a = 7 & b = 7 is 0, and that is not a natural number.
An integer is a whole number. There are lots of other numbers, such as fractions or rationals, and irrational numbers (such as the square root of 2)
numeric means pertaining to a number or numeral and integer is a special type of number such as ...-3,-2,-1,0,1,2,3... where ... means it goes on forever.
A negative integer is a whole number but not a natural number.
The square root of 25 is 5, which is a whole number, an integer, a natural number and a rational number.