Math Problem Statement

Solve the expression 23 * 2 - 5 + 3 * (1/3).

Solution

The expression in the image is:

2325+31323 \cdot 2 - 5 + 3 \cdot \frac{1}{3}

Let's solve it step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right)):

  1. First, calculate the multiplication operations: 232=4623 \cdot 2 = 46 313=13 \cdot \frac{1}{3} = 1

  2. Now, the expression becomes: 465+146 - 5 + 1

  3. Next, perform the subtraction and addition from left to right: 465=4146 - 5 = 41 41+1=4241 + 1 = 42

So, the final answer is 42.

Would you like more details on any of the steps? Here are five related questions to explore further:

  1. What are the rules of the order of operations (PEMDAS)?
  2. How do you handle more complex fractions within an expression?
  3. What happens if an expression contains parentheses or exponents?
  4. Can you explain how to solve equations with multiple operations?
  5. How do addition and subtraction work together in the order of operations?

Tip: Always complete multiplication and division before moving on to addition and subtraction when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)

Formulas

Multiplication
Addition
Subtraction

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8