Math Problem Statement
5{−1+4[1−3(−5+4)]}
Solution
Let's simplify the expression step by step:
The given expression is:
Step 1: Simplify inside the innermost parentheses.
The innermost part is :
Now, the expression becomes:
Step 2: Simplify inside the brackets.
Now, handle the multiplication within the square brackets. First, multiply by :
Now, the expression becomes:
Step 3: Add inside the square brackets.
Add to get:
Now the expression is:
Step 4: Multiply inside the braces.
Multiply to get:
Now the expression is:
Step 5: Simplify inside the braces.
Add :
Now the expression is:
Step 6: Final multiplication.
Multiply :
Final Answer:
The value of the expression is:
Would you like further details, or do you have any questions?
Here are five related questions:
- What is the order of operations (PEMDAS/BODMAS)?
- How do parentheses impact mathematical operations?
- How do negative signs affect multiplication and addition?
- How can distributing numbers help simplify expressions?
- How do you deal with nested parentheses?
Tip: Always handle operations inside parentheses or brackets first before moving to outer operations.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Simplification
Nested Parentheses
Multiplication and Addition
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8