Math Problem Statement
Solution
The equation visible in the image is:
Let's break this down step by step:
- Simplify inside the parentheses first: \quad \text{and} \quad 8 + 5 = 13$$ So the equation becomes: $$9(5) \div \left[ 6 \div 2 + 13 \right]$$
- Simplify inside the brackets: \quad \text{so} \quad 3 + 13 = 16$$ Now the equation is: $$9(5) \div 16$$
- Multiply and divide: \quad \text{so} \quad 45 \div 16 = 2.8125$$
Thus, the result of the expression is 2.8125.
Do you have any questions or need further details on this solution?
Here are 5 related questions for further exploration:
- How would the result change if the division sign became multiplication?
- What happens if you reverse the order of operations in this equation?
- How does the use of parentheses affect the order of operations?
- Can you rewrite the expression without parentheses and brackets?
- How would you solve this if you rounded the result to the nearest whole number?
Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to ensure accurate results.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Basic Arithmetic
Division
Multiplication
Formulas
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Theorems
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Suitable Grade Level
Grades 5-7
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