Integer numbers are a subset of real numbers. Real numbers may contain fractions.
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A number answer can be correctly solved by whatever numbers happen to solve it, with no restrictions as to what type of numbers they may be: fractional, rational, real, etc. An integer answer requires that the result be expressed only as an integer, which is a positive or negative whole number (including zero). As such, integer answers are a subset of number answers.
It is not a natural number but it is an integer and a real number.
All integers are real numbers.
Every integer is also a rational number and a real number.
No, 3.4 is not an integer. It is a rational number and a real number, but not an integer.