Let's simplify the expression step by step:

\[
1 + (-418) + (-418) + (-418) + 1672
\]

1. Start by adding \(1 + (-418)\):

\[
1 - 418 = -417
\]

2. Then add the next \(-418\):

\[
-417 - 418 = -835
\]

3. Add the next \(-418\):

\[
-835 - 418 = -1253
\]

4. Finally, add \(1672\):

\[
-1253 + 1672 = 419
\]

So, the result is:

\[
\boxed{419}
\]

Would you like more details or have any questions?

Here are five related questions you might find interesting:

1. What is the sum of \(2 + (-150) + 200 + (-50) + (-2)\)?
2. How does the associative property of addition apply to this problem?
3. What happens if you multiply all the numbers in the original expression instead of adding them?
4. Can you express the original problem as a single addition of integers?
5. How would the sum change if you replace \(1672\) with \(1500\)?

**Tip:** When dealing with multiple additions and subtractions, grouping the terms can simplify the calculation.

Learn how to simplify the expression 1 + (-418) + (-418) + (-418) + 1672 step-by-step with a detailed solution. This problem covers addition of integers, including handling negative numbers and computing the final result. Suitable for students in Grades 6-8.

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