What are the properties of addition and it's example

Question

Properties of addition and it's example. Please answer. And I hope it's right answer, I need to pass my assignment on June 13,2013.

Date of made:

June 11 2013

'' I need the answer please, and the example like zero property ( 8+0=8 )''

Thank You for your answers! I appreciate your help! :)

 

Answer 1

The three properties of addition are the commutative, associative and identity and here are the examples for each:

3+7=7+3 commutative (You can add two numbers in any order.)

17 + (9+3) = (17 + 9) + 3 (You can change the groupings of addends.)

10+0=10 identity (Any numbers plus zero equals that number.)

Answer 2

The "Zero Property" is actually called the Additive Identity Property. The additive identity is the unique number which, when added to any other number returns a sum which is the other number. 0 is the additive identity.

The Additive Inverse Property is that each nonzero number has a unique number which, when added to the number will return a sum of zero. (A more mathematical way to say this is that it will return a sum which is the additive identity.)

Examples: 23 + (-23) = 0     -(3/4) + (3/4) = 0    √3 +(-√3) = 0     - x² + x² = 0

The Commutative Property of Addition is that when two numbers are added together they will produce the same sum, regardless of the order of the two numbers.

Examples: 28.3 + (-12.7) = 15.6,  -12.7 + 28.3 = 15.6

                (1/3) + (3/4) = (13/12),  (3/4) + (1/3) = (13/12)

 

What you are calling the 1 Property is the Multiplicative Property of Identity. It is not a property of addition. 1 is the identity for multiplication, just like 0 is the identity for addtion.