https://file.aiquickdraw.com/mathbot/file/1726266878638n817ogx2.jpg

The image shows two expressions:

1. \([7 + 3] + (-1)\)
2. \(7 + [3 + (-1)]\)

The task is to identify the transformations applied in both cases and complete the arithmetic calculations.

For the first expression:
\[
[7 + 3] + (-1) = 10 + (-1) = 9
\]
So, the first box should contain "10", and the result is "9".

For the second expression:
\[
7 + [3 + (-1)] = 7 + 2 = 9
\]
Here, the box should contain "2", and the result is also "9".

Would you like more details or further explanation?

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Here are 5 related questions to expand on the concepts:
1. What is the associative property of addition, and how does it apply here?
2. How do negative numbers affect addition in general?
3. What other operations can be grouped using brackets in algebra?
4. Why is the result the same despite changing the grouping of terms?
5. How can understanding order of operations simplify complex expressions?

**Tip:** Always solve inside the brackets first before handling external operations.

Answer the questions below about Line 1 and Line 2 shown below: [7 + 3] + (-1) and 7 + [3 + (-1)]

Learn how to apply the associative property of addition with integers through the example of [7 + 3] + (-1) and 7 + [3 + (-1)]. This problem demonstrates how grouping affects arithmetic operations, with step-by-step calculations showing how the associative property works.

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