Associative Property
(a+b)+c=a+(b+c)
The associative property is a mathematical property that states that the grouping of factors or terms in an expression does not affect the value of the expression. In other words, when we add or multiply a group of numbers, we can change the grouping of the numbers and still get the same result.
For example, let’s consider the expression: (2 + 3) + 4. According to the associative property, we can group the first two terms as (2 + 3) and then add 4, or we can group the last two terms as 3 + (4 + 2). Both ways of grouping will give us the same result, which is 9.
Similarly, let’s consider the expression: 2 × (3 × 4). According to the associative property, we can group the last two terms as (2 × 3) × 4, or we can group the first two terms as 2 × (3 × 4). Both ways of grouping will give us the same result, which is 24.
The associative property is important in simplifying expressions and solving equations, and it is a fundamental property of addition and multiplication in mathematics.
More Answers:
Understanding the Binomial Distribution in Probability Theory and StatisticsMastering Algebraic Simplification with Monomials: A Comprehensive Guide
Understanding Polynomials: A Primer on Arithmetic Operations, Degrees, and Terms