Math Problem Statement
-4×6^2÷6-(42+5)
Solution
Let's break this down step by step:
Expression:
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First, evaluate :
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Next, multiply by :
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Now divide by 6:
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Evaluate the expression inside the parentheses:
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Finally, subtract 47 from :
So, the result of the expression is:
Do you need further details or have any questions?
Here are 5 related questions to deepen your understanding:
- What happens if the exponent is changed to 3, i.e., ?
- How would the result change if you add a negative number inside the parentheses, like ?
- Can you simplify the expression if the division comes first, i.e., ?
- What is the effect of swapping the order of multiplication and division in this expression?
- What would happen if the parentheses around were removed?
Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)) to avoid mistakes in simplifying expressions.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Order of Operations
Exponents
Basic Algebra
Formulas
Exponentiation: a^n
Division and Multiplication
Addition and Subtraction
Theorems
Order of Operations (PEMDAS)
Suitable Grade Level
Grades 6-8