## Properties of Subtraction

Subtraction is one of the mathematical operations performed on the numbers. By subtraction, we mean reducing. We say that subtraction means reducing smaller number from the bigger number. The properties of subtraction are shown below:

There are different properties of subtraction. They are:

1.      If ‘a’ and ‘b’ are any whole numbers and subtraction is performed on ‘a’ and ‘b’, then if a = b, or a > b, then the result is a whole number, else the result is not a whole number.

2.       Commutative property does not hold true for the subtraction of whole numbers. If there exists numbers ‘a’ and ‘b’, then we say that commutative property does not hold true for subtraction. Thus we conclude that a – b = b – a.

3.       For every whole number ‘a’, there exist a number 0, such that if we subtract a number 0 from ‘a’, we get the same number. It can be written as:

a – 0 = a.

4.       If we have a, b and c as the whole numbers, such that we have a – b = c, then the property of subtraction can be expressed in form of addition as follows:

a = c + b.

5.      Associative property for whole numbers does not hold true. It means that a, b and c are any of three whole numbers, then we say that

(a – b) – c is not equal to a – (b – c).

6.       If we subtract number 1 from a given whole number, then we get the predecessor of the given number. So we say that if ‘a’ is any number, then a – 1 is the predecessor of the given number.