Math Problem Statement

5 + 12/4 · 2 · 4/2

Solution

The expression shown in the image is:

5+1242425 + \frac{12}{4} \cdot 2 \cdot \frac{4}{2}

Let's solve it step by step.

  1. First, evaluate the fractions: 124=3and42=2\frac{12}{4} = 3 \quad \text{and} \quad \frac{4}{2} = 2

    Now the expression becomes: 5+3225 + 3 \cdot 2 \cdot 2

  2. Next, solve the multiplication: 32=6and then62=123 \cdot 2 = 6 \quad \text{and then} \quad 6 \cdot 2 = 12

    The expression is now: 5+125 + 12

  3. Finally, perform the addition: 5+12=175 + 12 = 17

So, the value of the expression is 1717.

Let me know if you want further details or have any questions! Here are five related questions you could explore:

  1. What happens if we change the order of operations in this expression?
  2. How does this problem demonstrate the importance of parentheses in expressions?
  3. What if one of the numbers is negative? How would that affect the result?
  4. Can we simplify fractions before doing operations? Why or why not?
  5. How does the distributive property apply to expressions involving multiplication and addition?

Tip: Always remember the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)) when solving expressions like these.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Fractions
Multiplication
Addition

Formulas

PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Theorems

Basic Arithmetic Theorems

Suitable Grade Level

Grades 6-8