Manu while having conversation with Tanu-Manu- Rational numbers are closed under division because we get a rational number as the resultant-35-75-37Tanu- Rational numbers are NOT closed under division because dividing any number by zero is undefined-35-0 is undefined Who is correct-

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Standard VIII

Mathematics

Finding Rational Numbers Between Two Rational Numbers Using Equivalent Rational Numbers

Manu while ha...

Question

Manu while having conversation with Tanu.

Manu: Rational numbers are closed under division because we get a rational number as the resultant:
$\frac{3}{5} \div \frac{7}{5} = \frac{3}{7}$

Tanu: Rational numbers are NOT closed under division because dividing any number by zero is undefined.

$\frac{3}{5} \div 0$ is undefined

Who is correct?

Manu

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Tanu

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Both are correct

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Both are wrong

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Solution

The correct option is B Tanu

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Similar questions

Q. Manu while having conversation with Tanu.

Manu: Rational numbers are closed under division because we get a rational number as the resultant:

\frac{3}{5} \div \frac{7}{5} = \frac{3}{7}

Tanu: Rational numbers are NOT closed under division because dividing any number by zero is undefined.

\frac{3}{5} \div 0

is undefined

Who is correct?

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?

A: Rational numbers are always closed under division.

R: Division by zero is not defined.

Is division closed under rational numbers and if yes, what if I divide 0.5 by 0, I will get an undefinined answer. So is division closed under rational numbers .

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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Manu while having conversation with Tanu. Manu: Rational numbers are closed under division because we get a rational number as the resultant: 35÷75=37 Tanu: Rational numbers are NOT closed under division because dividing any number by zero is undefined. 35÷0 is undefined Who is correct?

The correct option is B Tanu