Math Problem Statement
Solution
Let's solve the problems from the image one by one.
5)
First, simplify the expression inside the parentheses: Now substitute back: So the expression becomes: Answer: 1
7)
First, simplify the numerator: Then: Now divide by 2: Answer: 6
9)
First, simplify the numerator: Then: Now divide by 4: Answer: 4
11)
First, simplify inside the parentheses: Now substitute back: Now divide by 2: Answer: 3
13)
First, divide : Now multiply by 6: Now subtract 3: Finally, add 2: Answer: 35
Do you have any questions or would you like more details on a specific solution?
Here are some related questions you might consider:
- How do parentheses affect the order of operations?
- Why do we simplify inside parentheses before handling other operations?
- Can you think of other examples where simplifying inside parentheses changes the outcome?
- How does division distribute over addition or subtraction in expressions like these?
- Can this type of expression have more complex operations, like exponents?
Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)) when solving expressions.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Basic Arithmetic
Fractions
Division
Formulas
PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)
Division formula a/b
Theorems
Order of Operations
Suitable Grade Level
Grades 6-8
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