Rational numbers are not closed under ________

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Solution

Since zero is a rational number but division by zero is not possible.
Hence, the rational numbers are not closed under division.

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Similar questions

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.

Question 3
The numerical expression $\frac{3}{8} + \frac{(- 5)}{7} = \frac{- 19}{56}$ shows that:
(a) rational numbers are closed under addition.
(b) rational numbers are not closed under addition.
(c) rational numbers are closed under multiplication.
(d) addition of rational numbers is not commutative.

A: Rational numbers are always closed under division.

R: Division by zero is not defined.

why r rational numbers not closed under division? why divide a rational number only with 0 why not with another rational number? explain.

Rational numbers are not closed under division.Example: 2 ÷ 0 is not defined.

But in the case of multiplaction also, 1/8 x 0 is 0 which is not a rational number. So as per this logic, rational nos should not be closed under multiplaction also. But why is it not so?

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Rational numbers are not closed under ________

Since zero is a rational number but division by zero is not possible.Hence, the rational numbers are not closed under division.

Since zero is a rational number but division by zero is not possible.
Hence, the rational numbers are not closed under division.