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.

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Solution

Rational numbers are not closed under division. As, 1 and 0 are the rational numbers but $\frac{1}{0}$ is not defined. Hence, the correct answer is option (d).

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

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.

Q. Question 104
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.

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.

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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Closure Property of Rational Numbers

Standard VIII Mathematics

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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.

Rational numbers are not closed under division. As, 1 and 0 are the rational numbers but 10 is not defined. Hence, the correct answer is option (d).

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.

Rational numbers are not closed under division. As, 1 and 0 are the rational numbers but $\frac{1}{0}$ is not defined. Hence, the correct answer is option (d).