Math Problem Statement

Simplify the mathematical expression (5 + 8 × 5) / 5

Solution

The expression in the image appears to be:

5+8×55\frac{5 + 8 \times 5}{5}

To simplify this, follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses/Brackets (none in this case).

  2. Exponents/Orders (none here).

  3. Multiplication/Division (from left to right): First, we do the multiplication 8×5=408 \times 5 = 40.

    Now the expression becomes:

5+405\frac{5 + 40}{5}

  1. Addition/Subtraction: 5+40=455 + 40 = 45.

Now the expression is:

455\frac{45}{5}

  1. Division: 45÷5=945 \div 5 = 9.

So, the value of the expression is 99.

Would you like more details or have any questions about this process?


Here are some related questions for further exploration:

  1. What would happen if we added parentheses to change the order of operations?
  2. How does the distributive property work with multiplication over addition or subtraction?
  3. Can this expression be simplified if there are more operations involved?
  4. What is the role of PEMDAS/BODMAS in simplifying mathematical expressions?
  5. How do fractions affect the calculation of more complex expressions?

Tip: Always follow the correct order of operations to ensure accuracy when simplifying expressions!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
Division
Multiplication

Formulas

PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

Order of Operations Theorem

Suitable Grade Level

Grades 5-7