Are rational number always closed under subtraction?

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Solution

Yes rational numbers are closed under subtraction.
As for $a, b$ being rational number, $a - b$ or $b - a$ is always going to be a rational number.

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Similar questions

Q. Write 'T' for true and 'F' for false for each of the following:
(i) Rational numbers are always closed under subtraction.
(ii) Rational numbers are aways closed under division.
(iii) 1 ÷ 0 = 0.
(iv) Subtraction is commutative on rational numbers.
(v)

- (\frac{- 7}{8}) = \frac{7}{8} .

Question 4
Which of the following is not true?
(a) rational numbers are closed under addition.
(b) rational numbers are closed under subtraction.
(c) rational numbers are closed under multiplication.
(d) rational numbers are closed under division.

Q. (i) Are rational numbers always closed under division?
(ii) Are rational numbers always commutative under division?
(iii) Are rational numbers always associative under division?
(iv) Can we divide 1 by 0?

Q. Question 77
Rational numbers are closed under addition and multiplication but not under subtraction.

Which of the following is not true?
(i) Whole numbers are closed under subtraction.
(ii) Integers are not closed under division.
(iii) Rational numbers are closed under division.

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Are rational number always closed under subtraction?

Yes rational numbers are closed under subtraction.As for a,b being rational number, a−b or b−a is always going to be a rational number.

Yes rational numbers are closed under subtraction.
As for $a, b$ being rational number, $a - b$ or $b - a$ is always going to be a rational number.