Associative property explains that the addition and multiplication of numbers are possible regardless of how they are grouped. By grouping we mean the numbers which are given inside the parenthesis (). Suppose you are adding three numbers, say 2, 5, 6, altogether. Then even if we group the numbers in addition procedures such as 2 + (5 + 6) or (2 + 5) + 6, in both ways the result will be the same. The same rule applies to multiplication, i.e., 2 x (5 x 6) = (2 x 5) x 6. This property is almost similar to commutative property, where only two numbers are used.
| Associative Property of- Addition 2 + (5 + 6) = (2 + 5) + 6 2 + 11 = 7 + 613 = 13Multiplication2 × (5 × 6) = (2 × 5) × 62 × 30 = 10 × 660 = 60 |
Mathematical equations have their own manipulative principles. These principles or properties help us to solve such equations. Basically, there are three properties which outline the backbone of mathematics and these properties are used to perform different arithmetic operations. They are:
• Associative property
• Commutative property
• Distributive property
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