Math Problem Statement
Solution
It seems that you've provided an image with mathematical problems. Let me extract the expressions and their explanations:
Problem 25:
- The expression given is .
- The result obtained is , but this appears incorrect.
Problem 26:
- The expression is .
- The result obtained is , and this is correct.
Let's correct the reasoning for Problem 25:
-
First, apply the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
The correct steps are:
Now the expression becomes:
Thus, the correct result should be approximately 4.67, not 106.
Would you like more details on the solution?
Here are 5 related questions to deepen your understanding:
- What is the correct order of operations in mathematics (PEMDAS/BODMAS)?
- How do you handle division with decimals?
- Why is it important to follow the order of operations strictly?
- What is the significance of rounding in calculations involving decimals?
- How can you check your work when evaluating mathematical expressions?
Tip: Always double-check operations step-by-step, especially when multiple division and multiplication actions are involved.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Division
Multiplication
Subtraction
Simplification
Formulas
PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)
Theorems
Basic Arithmetic Rules
Suitable Grade Level
Grades 6-8
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