Assertion and reason

Exercise and reference answers

Questions

1. Reason

   Rational numbers are closed under addition.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   Adding two rational numbers always gives a rational number.

2. Reason

   Their mean is rational and lies between them.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   You can always find a rational number between two others.

3. Reason

   Adding 0 leaves a rational number unchanged.

   Verdict

   The assertion is false and the reason is true.

   Assertion

   0 is the multiplicative identity.

Explanation