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Any number that is not a fraction, percent, decimal, or negative is a whole number. Counting numbers are whole numbers. Counting numbers are 1, 2, 3, 4, 5,... Zero is a whole number. So yes, every integer greater then negative one is a whole number, and so is -1 and every integer less than -1.
Every irrational number is NOT a rational number. For example, sqrt(2) is irrational but not rational. A natural number is a counting number or a whole number, such as 1, 2, 3, etc. A rational number is one that can be expressed as a ratio of two whole numbers, which may be positive or negative. So, -2 is a rational number but not a counting number (it is an integer, though). Also, 2/3 is a rational number but not a whole, counting number or a natural number.
A natural number is a positive counting number, ie, 0 1 2 3 4. -1 -2 -3 and -4 are whole numbers but cannot be natural numbers as they are negative.
Yes. The counting numbers are {1, 2, 3, 4, 5, 6, 7, ...}. Any positive whole amount is a counting number.
Not necessarily. -5 is a whole number. Negative 2 is not less than -5.