Frequently Asked Questions

Q: What are the properties of addition?

There are four basic properties in addition: Commutative Property When two numbers or integers are added, the sum remains the same even if we change the order of the numbers or integers. A + B = B + A Associative Property On adding three numbers, the association of numbers in a different pattern does not change the result. That means the sum will be the same while adding three or more digits, even when the grouping of addends is altered. A + (B + C) = (A + B) + C Distributive Property The distributive property of addition states that the sum of two numbers multiplied by a third number equals the sum of each number when multiplied with the third number. A × (B + C) = A × B + A × C Additive Identity Property The additive identity property states that when a number is added to zero, it will give the same number. Hence, "zero" is called the identity element. A + 0 = A 0 + A = A

Question 1

Who invented addition?

Accepted Answer

An Indian mathematician, Brahmagupta, first devised the modern methods for four fundamental operations, i.e., addition, subtraction, multiplication, and division.

Question 2

What are the properties of addition?

Accepted Answer

There are four basic properties in addition:

Commutative Property
When two numbers or integers are added, the sum remains the same even if we change the order of the numbers or integers.

A + B = B + A
Associative Property
On adding three numbers, the association of numbers in a different pattern does not change the result. That means the sum will be the same while adding three or more digits, even when the grouping of addends is altered.

A + (B + C) = (A + B) + C
Distributive Property
The distributive property of addition states that the sum of two numbers multiplied by a third number equals the sum of each number when multiplied with the third number.

A × (B + C) = A × B + A × C
Additive Identity Property
The additive identity property states that when a number is added to zero, it will give the same number. Hence, "zero" is called the identity element.

A + 0 = A

0 + A = A

Addition Calculator

Example 1

Example 2