Math Problem Statement
-2(-2-(-3(2+5-3)+(2-5))-(+(-1)))
Solution
Let's break down the expression step by step:
Given expression:
Step 1: Simplify the innermost parentheses
Start with the innermost expression :
Now substitute back into the expression:
Step 2: Multiply and simplify further
Next, evaluate and :
Substituting these values back gives:
Step 3: Simplify the expression inside the parentheses
Simplify :
Now the expression is:
Simplify further:
Step 4: Final simplifications
Simplify the terms inside the parentheses:
So now the expression is:
Final Answer:
Would you like more details on any of these steps?
Here are five related questions:
- How do you simplify nested parentheses in complex expressions?
- What is the order of operations, and why is it important in simplifying expressions?
- How do you handle negative signs when distributing across parentheses?
- How does multiplying negative numbers affect the sign of the result?
- Can you explain the difference between addition and subtraction of integers in expressions?
Tip: When dealing with complex expressions, always start by simplifying the innermost parentheses first and work your way outwards.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Negative Numbers
Order of Operations
Formulas
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Theorems
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Suitable Grade Level
Grades 5-7