The property of addition shown in the equation

$1 + (4 + 2) = (1 + 4) + 2$

is the Associative Property of Addition.

This property states that when adding three or more numbers, the way the numbers are grouped (or "associated") does not change the sum. In other words, it doesn't matter how the numbers are grouped in parentheses, as long as the order of the numbers remains the same.

Explanation:

• In the original equation, you can see that the numbers $1$, $4$, and $2$ are grouped in different ways on either side of the equation.
• On the left side, $4 + 2$ is grouped first.
• On the right side, $1 + 4$ is grouped first.
• Both ways give the same result, showing that the grouping doesn't affect the sum.

Would you like to explore more properties or need further clarification?

Related Questions:

1. What is the Commutative Property of Addition?
2. How does the Distributive Property differ from the Associative Property?
3. Can you apply the Associative Property to subtraction or multiplication?
4. How does the Identity Property of Addition work?
5. Can you show an example of the Associative Property with four numbers?

Tip:

When working with addition, always remember that changing the grouping of numbers doesn’t affect the sum. This can make solving large problems easier!