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

Monday, March 18, 2013

Maths Properties Learning

Introduction for learning maths properties:

In maths, we can see many properties for learning. There are three basic properties present in maths they are associative, commutative and distributive property. These three properties of maths are used in wide area.  Along with these properties we can simplify the expressions given. In this article let us start learning about the maths properties.


Properties in maths for learning:

The properties that are used for learning is given here,

Associative property
Commutative property
Distributive property
Additive identity
Multiplicative identity

Learning properties in maths:

Here we start learning about all the properties in the math.

Associative property:

In this property it does not matter how we group the numbers but the answer obtained in the end is same. Hence this associative property is very efficient. This is same for both addition and multiplication. The associative property for learning is given as,

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

(a * b) * c = a * (b * c)

For example,

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

5 + 5 = 2 + 8

10 = 10

Commutative property:

When we change the order of the operation it does not changes the answer obtained in evening. This property is also common for both the addition and multiplication. The commutative property for learning is given as,

a + b = b + a

a * b = b * a

For example,

4 * 2 = 2 * 4

8 = 8

Distributive property:

In this property we can do the addition and also the subtraction in combined forms. The parenthesis that is used in this property is used to separate the operation. The distributive property for learning is given as.

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

For example,

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

= 10 + 15

= 25.

Additive identity:

In this property when any number is added with the number zero we get the same number as the answer.

a + 0 = a = 0 + a

For example,

3 + 0 = 3 and 0 + 3 = 3

Multiplicative identity:

When we multiply the number with 1 we get the same number as the answer. Thus this is referred as multiplicative identity.

a * 1 = a = 1 * a

For example,

2 * 1 = 2 and 1 * 2 = 2.