Question

।Read the following statements carefully: Statement I: Rational numbers are closed under multiplication. Statement II: Rational numbers are closed under division. *
Only statement I is true.

Only statement II is true.


Both statements are true.



/None of the statement
​

Answer 1

Answer:

Only statement I is true.

Step-by-step explanation:

rational numbers are not closed under division. *

Answer 2

Statement I is True ,  Rational numbers are closed under multiplication.

Given:

• Two Statements
• I: Rational numbers are closed under multiplication.  
• II: Rational numbers are closed under division.  

To Find:

• Which of the statement/s are true?

Solution:

• Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0

Statement I:

Rational numbers are closed under multiplication.

This is true

Multiplication of two rational numbers is a rational number

Statement I is True

Statement II:

Rational numbers are closed under division.

This is Not true

as 0 is rational number number

And   p/0  is not defined   where p is a rational number/integer

Hence  Rational numbers are not closed under division.

Statement II is False

Statement I is True