Addition of Natural Numbers

a + b = c

The terms of the addition, a and b, are called addends and the result, c is the sum.

Properties of the Addition of Natural Numbers

1. Closure:

The sum of two natural numbers is also a natural number.

a + b PerteneceConjunto de los números naturales

2. Associative:

The way in which the addends are grouped does not change the result.

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

(2+3) + 5 = 2 + (3+5)

5 + 5 = 2 + 8

10 = 10

3. Commutative:

The order of the addends does not change the addition.

a + b = b + a

2 + 5 = 5 + 2

7 = 7

4. Additive identity:

The 0 is the identity element of the addition because every number added with it gives the same number.

a + 0 = a

3 + 0 = 3


Addition Table