1. Closure Property:
Consider the examples,
10  5 = 5
11  15 = 5
10  25 = 15 ............
Note that the difference of two whole number is not always a whole number.
Hence, the closure property is not true for subtraction in the set of whole numbers.
2. Commutative Property:
Observe the following examples:
6  10 is not equal to 10  6
9  4 is not equal to 4  9
5  12 is not equal to 12  5.
Hence, subtraction is not commutative in whole numbers, i.e., a  b is not equal to b  a.
3. Associative Property:
Observe the following examples:
13(76) is not equal to (137)6
6(75) is not equal to (67)5
Hence, subtraction is not associative in whole numbers. For any three whole numbers a,b and c, (ab)c is not equal to a(bc)
Directions: Check if the given statements are true or false. Also write at least ten examples of your own.
