Properties of Addition of Integers

➕ Additive Inverse Property

🔁 Commutative Property

🔗 Associative Property

🔒 Closure Property

Additive Inverse Property

For any integer a, its negative integer is (–a), where a + (–a) = (–a) + a = 0. So, a and –a are additive inverse to each other

If a is any integer, then a + (–a) = 0

3 + (–3) = 0
–5 + 5 = 0

Commutative Property

If a and b are any two integers, then a + b = b + a. This is called Commutative law of addition

a + b = b + a

2 + 3 = 3 + 2
–2 + 5 = 5 + (–2)

Associative Property

If a, b and c are any integers then there is (a+b) + c = a + (b+c) . This is called associative property of addition

(a + b) + c = a + (b + c)

(2+3)+4 = 2+(3+4)
(1+2)+3 = 1+(2+3)

Closure Property

If a and b are two integers, then a+b is also an integer. This is called the closure property of addition.

a + b is always an integer

2 + 5 = 7
–3 + 4 = 1

🎯 Property Quiz