Math Problem Statement

Evaluate the expression 2 × (5 + (17 - 5) + 4).

Solution

Let's evaluate the expression from the image:

The expression is: 2×(5+(175)+4)2 \times \left( 5 + (17 - 5) + 4 \right)

Let's break it down step by step:

  1. Solve inside the parentheses first: (175)=12(17 - 5) = 12

  2. Substitute back into the expression: 2×(5+12+4)2 \times \left( 5 + 12 + 4 \right)

  3. Simplify inside the parentheses: 5+12+4=215 + 12 + 4 = 21

  4. Now multiply: 2×21=422 \times 21 = 42

It appears you entered "42" as your answer, which is actually correct based on the standard order of operations (PEMDAS/BODMAS). The message indicating that your answer is incorrect might be due to a different requirement in how the system expects the answer or another technical issue.

If you still encounter issues, double-check if the system might be asking for a different format or expression.

Would you like more details or have any other questions? Here are some additional questions to consider:

  1. What would happen if the order of operations was not followed correctly?
  2. How does the PEMDAS/BODMAS rule influence complex expressions?
  3. Can you identify when parentheses are necessary in an expression?
  4. How would adding a negative number inside the parentheses change the result?
  5. What would the outcome be if you multiplied by a fraction instead of 2?

Tip: Always ensure that you perform operations inside parentheses first before applying multiplication or addition outside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
Parentheses

Formulas

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

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8