The associative property in mathematics states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. This means when you have an expression, you can rearrange the grouping of terms without affecting the result.
To demonstrate how to write an equivalent expression using the associative property for the expression 2 + 11y, we can treat it as an addition problem. Here, we can regroup the terms as follows:
2 + 11y = (2 + 11)y
Although this might not seem like a typical form you would see in an algebraic expression, it showcases how we can group the constant (2) with the variable (11y) following the associative property.
Keep in mind that while this method illustrates the associative property, the expression doesn’t simplify further into a simpler form. Thus, the focus remains on how grouping can alter presentation without changing the overall value.
So, an equivalent expression using the associative property for 2 + 11y can be represented as (2 + 11)y, depending on the context of your calculations or manipulations required.