
If a property holds good with respect to addition for rational numbers, whether it holds good for integers? And for whole number? Which one hold good and which doesn't hold good?

Important Questions on Rational Numbers
Write the numbers whose multiplicative inverses are the numbers themselves.

Can you find the reciprocal of (zero)? Is there any rational number such that when it is multiplied by gives ?
and

Complete the following table.
Numbers | Additive properties | |||||||
Closed | Commutative | Associative | Existence of identity | Existence of Inverse | ||||
Rational numbers | Yes | |||||||
Integers | Yes | |||||||
Whole numbers | Yes | No | ||||||
Natural numbers | Yes |

Complete the following table.
Numbers | Multiplicative properties | |||||||
Closed | Cumulative | Associative | Existence of identity | Existence of Inverse | ||||
Rational numbers | Yes | |||||||
Integers | Yes | |||||||
Whole numbers | Yes | |||||||
Natural numbers | Yes |

Name the property involved in the following example:

Name the property involved in the following example: [Closure property/ Commutative property/ Associative property/ Distributive property]

Name the property involved in the following examples

Name the property involved in the following examples
(Distributive Property/ Multiplicative Inverse/Additive Inverse/Multiplicative Identity).
