No.
Example: The difference of 2/5 & 1/3:
2/5 - 1/3 = 1/15 ∈ ℚ (is a rational number) ∉ ℕ (is not a natural number).
Yes, that's true.
No. The difference can be a negative integer which is not a natural number.
A natural number is always a rational number .
Yes, it is.
No; depends on the signs of the rational numbers.
Yes, it is.
no
Yes
Yes, it is.
False.
No. Rather all natural numbers are necessarily rational number
Yes. The rational numbers are a closed set with respect to subtraction.
Yes, that's true.
No, it is not.
No.
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
No, it is not true.