Showing posts with label commutative property. Show all posts
Showing posts with label commutative property. Show all posts

Tuesday, December 4, 2012

Different Properties in Math

Introduction to different properties in math:

In this article we are going to see about the different properties in math. There are different properties in math that are defined in earlier in the field of math. The properties in math are applied for all the branches of mathematics. Among the different properties of math only three properties are used in common they are associative, distributive and commutative property.I like to share this Commutative Property of Addition Definition with you all through my article.

Different Math Properties

Different properties:

The different properties in math are,

Property 1: Associative property.
Property 2: Property of commutative.
Property 3: Property of distributive.
Property 4: Reflexive property.
Property 5: Transitive property.
Property 6: Property of addition.
Property 7: Multiplication property.
Property 8: Identity property
Property 9: Substitution property.

Explanation of Different Properties

Associative property:

The associative property is considered as the property in which the change in the parentheses of of the operation does not affect the result of the operation. This property is common for both the addition and subtraction.

(x + y) + z = x + (y +z)

(x * y) * z = x * (y * z)

Commutative property:

In this property when we change the order of the operation is changed it does not affect eh result. The commutative property is given as,

x + y = y + x

x * y = y * x

Distributive property:

In this property the process is distributive over the parentheses. The operation is to add or multiply the numbers.

x * (y + z) = x * y + x * z

Identity property:

This identity property may be additive identity or the multiplicative identity. The additive identity is the property in which the zero is added to the number gives the same number as the answer. The additive identity property is given as,

x + 0 = x = 0 + x

In multiplicative identity property we take a number and multiply the number with 1 we get the same number as the answer.

x * 1 = x = 1 * x

Addition property:

When the same non-zero number is added in both the sides then this is referred as the addition property. This addition property is given as,

x + z = y + z

Here z is considered as the non-zero number.

Multiplication property:

Here when the same number which is not equal to zero is multiplied on both sides then it is considered as the multiplication property.I have recently faced lot of problem while learning Calculus Solver, But thank to online resources of math which helped me to learn myself easily on net.

x * z = y * z

Here z is considered as the non-zero number.

Reflexive property:

In this property a number x is equal to its identical number. The reflexive property is given as,

x = x

Transitive property:

When the two numbers are equal to the third number then it is said as transitive. The transitive property is given as,

x = y and z = y hence x = z

Substitution property:

In this property we replace a statement with the other statement which is considered as equivalent.