Math Problem Statement
Using all of the following numbers: 3, 3, 7, 1. Rearrange them and use: +, -, ×, ÷, to get a sum of 10. You may also use "(" and ")" once.
Solution
To achieve a sum of 10 using the numbers 3, 3, 7, 1 and operations +, -, ×, ÷ with parentheses if necessary, one possible solution is:
Steps to verify:
- Calculate inside parentheses: .
- Calculate inside the second parentheses: .
- Perform the division: .
This satisfies the requirement.
Would you like me to provide a detailed breakdown or explore alternative solutions?
Here are 5 related questions for you:
- Can you derive another solution using these numbers and operations?
- How do parentheses affect the outcome of expressions in general?
- Can the same approach be applied to find different target sums with these numbers?
- What other mathematical rules can help in solving such puzzles?
- Can you generalize a method to test all combinations systematically?
Tip: When solving puzzles like this, try operations systematically, starting with addition or subtraction before applying multiplication or division.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Operations
Order of Operations
Parentheses Usage
Formulas
Basic Arithmetic Operations: a + b, a - b, a × b, a ÷ b
Theorems
Order of Operations (PEMDAS/BODMAS)
Suitable Grade Level
Grades 6-8
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