$\frac{1}{2}$ divided by $\frac{5}{3}$ gives us a rational number. That means rational numbers are closed under division. Say true or false.

True

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False

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Solution

The correct option is B
False

0 is also a rational number. If we divide it by other rational number, we get an something undefined. So, rational numbers are not closed under division.

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Similar questions

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?

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. 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} .

Q. Say True or False

\frac{9}{40}, \frac{17}{80}, \frac{19}{80}

are rational numbers between

\frac{1}{4}

and

\frac{1}{5}

Q. Give one example each to show that the rational numbers are closed under addition, subtraction and multiplication. Are rational numbers closed under division? Give two examples in support of your answer.

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12 divided by 53 gives us a rational number. That means rational numbers are closed under division. Say true or false.

The correct option is B False 0 is also a rational number. If we divide it by other rational number, we get an something undefined. So, rational numbers are not closed under division.

$\frac{1}{2}$ divided by $\frac{5}{3}$ gives us a rational number. That means rational numbers are closed under division. Say true or false.

The correct option is B
False

0 is also a rational number. If we divide it by other rational number, we get an something undefined. So, rational numbers are not closed under division.