Math Problem Statement

3 × (99 - (4 + 2(21 ÷ 3) × 2) + 8) - 6 = ?

Solution

It seems that the text extraction from the image was not successful. However, I can manually interpret the expression shown in the image:

The expression is:

3×(99(4+2×(21÷3)×2)+8)63 \times (99 - (4 + 2 \times (21 \div 3) \times 2) + 8) - 6

I'll solve this step-by-step for you.

Step 1: Calculate the division inside the parentheses:
21÷3=721 \div 3 = 7

Step 2: Multiply by 2: 2×7=142 \times 7 = 14

Step 3: Multiply the result by 2 again: 14×2=2814 \times 2 = 28

Step 4: Add 4 to the result: 4+28=324 + 28 = 32

Step 5: Subtract this from 99: 9932=6799 - 32 = 67

Step 6: Add 8 to the result: 67+8=7567 + 8 = 75

Step 7: Multiply by 3: 3×75=2253 \times 75 = 225

Step 8: Finally, subtract 6: 2256=219225 - 6 = 219

Thus, the value of the expression is 219.

Would you like a detailed explanation of any specific step? Here are some related questions you could explore:

  1. How can order of operations (PEMDAS) help in solving complex expressions?
  2. Why is it important to solve inside parentheses first?
  3. How do different operations (addition, multiplication) affect the final result?
  4. Can a calculator be used to verify results like this efficiently?
  5. How would the result change if the order of operations were altered?

Tip: Always ensure you perform operations inside parentheses and follow the correct order to avoid errors in calculations.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Multiplication
Division
Addition
Subtraction
Parentheses

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8