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The problem asks which of the expressions have the same value as \(-11 - (-3)\). Let's first simplify the original expression step by step:

\[
-11 - (-3) = -11 + 3 = -8
\]

Now, let's evaluate each of the given choices to see which ones are equivalent to \(-8\):

1. \(-11 + 3\)
   \[
   -11 + 3 = -8
   \]
   This is equivalent to the original expression, so it's a valid option.

2. \(11 - (-3)\)
   \[
   11 - (-3) = 11 + 3 = 14
   \]
   This is not equivalent to \(-8\), so this is incorrect.

3. \(-|11 + (-3)|\)
   \[
   11 + (-3) = 8 \quad \text{and} \quad -|8| = -8
   \]
   This is equivalent to the original expression, so it's another valid option.

Thus, the correct answers are the first and third expressions.

Would you like more details or have any questions? Here are five follow-up questions to think about:

1. Why does subtracting a negative number result in addition?
2. How does the absolute value function affect the result?
3. What is the rule for distributing negatives across parentheses?
4. Can you think of another equivalent expression for \(-11 - (-3)\)?
5. What happens when you reverse the terms in subtraction, like \(3 - (-11)\)?

**Tip:** When subtracting a negative, always change the operation to addition to avoid errors.

Which of these expressions have the same value as -11 - (-3)?

Discover how to simplify expressions like -11 - (-3) and find which equivalent expressions match. This problem focuses on key algebraic concepts such as simplifying negative numbers and understanding absolute values. Perfect for Grade 7 students.

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