Properties in Math

Introduction of properties in math:

Math is the learning of measure, structure, space and change. Math is progressed from counting, calculation, measurement, and systematic learning of the shapes and motions of physical entities by the use of abstraction and logical reasoning. Math is used in the world as an important tool in various fields, such as natural science, engineering, medicine and the social sciences. Today all are working is based on mathematics. I like to share this Statistical Probability with you all through my article.


Properties in math:


Let we see about properties of math. All these properties are already defined by the mathematical experts it could not be changed. It is useful for all kinds of math.

Let us take x, y, z are real numbers, + = addition, - =subtraction, * = multiplication, / = division.

Associative Property:

Associative property refers that grouping of element within the parenthesis. It is performed for addition and multiplication and more than three values involved in it.

Associative property is defined as,

Addition: x+(y+z) = (x+y)+z

Multiplication: x*(y*z) = (x*y)*z

Example:

Find the value of 3+(6+10) and 3(6*10) using associative property.

Solution:

Given 3+(6+10)
Associative property: (3+6)+10

=9+10

=19

Given 3(6*10)
Associative property: (3*6)10

= 18*10

= 180

Understanding hard 6th grade math problems is always challenging for me but thanks to all math help websites to help me out.

Commutative Property:

It refers the changing the order of the element but does not change the result.

It is defined as,

Addition: a+b =b+a

Multiplication: a*b = b*a

Example:

Find the value of 12+98 and prove the commutative property value is equal.

Solution:

Given 12+98

=12+98= 110

Commutative property: 98+12=110

Hence, two results are equal.

Distributive property:

It defines distributing some elements. It is defined as,

Addition: a*(b+c) = ab+ac

Subtraction: a*(b-c) = ab – ac

Example:

Find the value of 5*(2+3) using distributive property.

Solution:

Given 5*(2+3)

Distributive property: (5*2) + (5*3)

= 10 + 15

= 15

Additive Identity Property:

Zero is called identity. Any value that is added with 0 it gives the same result. It is defined as,

x + 0 = x and 0 +  x = x

Multiplicative Identity Property:

Any value that is multiplied with 0 it gives the result as zero. It is defined as

x * 0 = 0 and 0 *  x = 0

Additive Inverse Property:

Any value that is added with inverse of the same value the result is zero. It is defined as

x + (-x) = 0

Multiplicative Inverse Property:

Any value that is multiplied with inverse of the same value the result is one.

x * (1/x) = 1

Now all are clear about  properties of math. Now see some more properties.


Some more properties in math:


Reflexive Property of Equality:

It is defined as result is same as question, that is x=x.

Symmetrical Property of Equal:

It is defined as x=y then y=x

Transitive Property of Equal:

It is defined as If x = y and y = z, then z = a

Substitution Property:

If x = y, then y can replace x in any equation.

Definition of Subtraction:

x - y = x + (-y)

Definition of Division:

0 / x = 0, x / x = 1, x / 0 = infinity

Now all are understood the properties of math.