Properties Of Subtraction Of Integers

Closure property: The difference between any two given integers results in an integer.

For instance, 13 – 17 = – 4 and – 4 is an integer. In the same way, – 5 – 8 = – 13 and – 13 is an integer.

Commutative property: The difference between any two given integers changes when the order is reversed.

For example, 6 – 3 = 3 but 3 – 6 = – 3.

So, 6 – 3 ≠ 3 – 6

Associative property: In the method of subtraction, there is a change in the result if the grouping of 3 or more integers changes.

For example, (80 – 30) – 60 = – 10 however [80 – (30 – 60)] = 110.

So, (80 – 30) – 60 ≠ [80 – (30 – 60)].

Multiplication of Integers

In addition and subtraction, the sign of the resulting integer depends on the sign of the largest value. For example, -7+4 = -3 but in the case of multiplication of integers, two signs are multiplied together. 

Rules: 

• When two positive integers are multiplied then the result is positive.
• When two negative integers are multiplied then also the result is positive.
• But when one positive and one negative integer is multiplied, then the result is negative.
• When there is no symbol, then the integer is positive.