Math Problem Statement
State each alteration on a separate line to build the following expression: The difference between 4 and 7; The quantity is raised to the 3rd power; The new quantity is added by 2; The sum is divided by 5; The quotient is multiplied by -1.
Solution
The question asks you to state each alteration step by step to build the following expression based on the provided instructions. Here's how the steps would be written mathematically:
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The difference between 4 and 7:
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The quantity is raised to the 3rd power:
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The new quantity is added by 2:
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The sum is divided by 5:
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The quotient is multiplied by -1:
This is the final expression based on the steps.
Let me know if you'd like further clarifications or if you have any questions!
Follow-up questions:
- What is the value of ?
- How do you calculate ?
- Can you simplify the final expression step by step?
- What is the importance of following each step without simplifying early?
- How would this change if the difference were between 7 and 4 instead?
Tip:
Always keep track of the sequence of operations and carefully follow the order of operations (PEMDAS) when building complex expressions.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Exponentiation
Order of Operations
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8