# What Is Associative Property

**What Is Associative Property**. This property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends (or the multiplicands). Associative property involves 3 or more numbers.

The associative property doesn't apply to subtraction or division. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs. 2 + 3 + 1 + 5 + 6 = 17. To be precise, the symbols in the definition above can refer to integers (positive or negative), fractions, decimals, square roots, or even functions. The associative property, which was named in 1835 by the irish mathematician sir william rowan hamilton, says that when adding or multiplying, we can change the grouping of numbers and it will not change their answer. Learn vocabulary, terms, and more with flashcards, games, and other study tools. For example, take the equation 2 + 3 + 5. No matter which pair of values in the equation is added first, the result will be the same. Associative property involves 3 or more numbers.

## The associative property, on the other hand, is the rule that refers to grouping of numbers. What Is Associative Property

This means the parenthesis (or brackets) can be moved. The associative property of addition is a law that states that when we add, we can group the numbers in any order or combination. The associative property applies to all real (or even complex) expressions. Likewise, the associative rule of multiplication says a × (b × c) is the same as (a × b) × c. Definition & rule the associative property of multiplication states that when performing a multiplication problem with more than two numbers, it does not matter which numbers you multiply first. This property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends (or the multiplicands). The property of addition and multiplication which states that a difference in the grouping of numbers being added or multiplied will not change the result,. An operation is associative if a change in grouping does not change the results. This is stated as (a(b+c. Similarly, how do you find associative property? This can be expressed through the equation a + (b + c) = (a + b) + c. The associative property, on the other hand, is the rule that refers to grouping of numbers. The associative property states that the sum or product of a set of numbers is the same, no matter how the numbers are grouped. Updated november 18, 2019 according to the associative property, the addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. This means the parenthesis (or brackets) can be moved. Numbers that are added can be grouped in any order.

### By 'grouped' we mean 'how you use parenthesis'.