Question

give an example for each of the following
1. closure property with respect to addition in n.
2.commutative property with respect to addition in n.
3.Associative property with respect to addition in n.​

Answer 1

Answer:

Integers are NUMBERS which include positive and negative numbers.

1. CLOSURE PROPERTY WITH RESPECT TO ADDITION = a + b = c (where a, b and c are all integers)

eg: 4 and 7 are integers

4 + 7 = 11 which is also an integer.

2. COMMUTATIVE PROPERTY WITH RESPECT TO ADDITION = a + b = b + a( where a and b are integers)

eg: 2 and 6 are integers

2 + 6 = 6 + 2 = 8 which is also an integer

3. ASSOCIATIVE PROPERTY WITH RESPECT TO ADDITION = (a + b) + c = a + (b + c) (where a, b and c are integers)

eg: 5, 6 and 3 are integers

(5 + 6) + 3 = 5 + (6 + 3)

=11 + 3 = 5 + 9

= 14 = 14 which is also an integer.