Explain how to write an equivalent expression using the associative property. 2 + (11 + y)

Solution:

In any given expression containing two or more numbers along with an associative operator, the order of operations does not change the final result as long as we keep the sequence of the operands the same.

In other words, we can add/multiply the numbers in an equation irrespective of the grouping of those numbers.

Two primary arithmetic operations + and × on any given set M is called associative if it satisfies the given associative law that is (p × q) × r = p × (q × r) for all p, q, r in M.

So, the associative property exists in only addition and multiplication operations.

Given, 2 + (11 + y)

We have to write an equivalent expression using the associative property.

So, 2 + (11 + y) = (2 + 11) + y

Therefore, the equivalent expression is (2 + 11) + y.

Explain how to write an equivalent expression using the associative property. 2 + (11 + y)

Summary:

An expression equivalent to 2 + (11 + y) using associative property is (2 + 11) + y.