Math Problem Statement

Solve the expression: 50 - [16 + (14 - 6) - (7 - 2) + (4 - 1)]

Solution

The expression in the image is:

50[16+(146)(72)+(41)]50 - \left[ 16 + (14 - 6) - (7 - 2) + (4 - 1) \right]

Let's solve this step-by-step:

Step 1: Simplify inside the parentheses

  • 146=814 - 6 = 8
  • 72=57 - 2 = 5
  • 41=34 - 1 = 3

Now the expression becomes: 50[16+85+3]50 - \left[ 16 + 8 - 5 + 3 \right]

Step 2: Perform the operations inside the brackets

16+8=2416 + 8 = 24 245=1924 - 5 = 19 19+3=2219 + 3 = 22

Now the expression is: 502250 - 22

Step 3: Perform the final subtraction

5022=2850 - 22 = 28

The final result is 28.

Do you have any questions or would you like more details?

Here are 5 related questions to deepen your understanding:

  1. How does the order of operations (PEMDAS/BODMAS) apply to this problem?
  2. What is the difference between solving operations inside parentheses versus outside?
  3. Can you explain how simplifying expressions inside brackets first affects the final answer?
  4. How would the result change if we replaced subtraction with addition in the expression?
  5. How can you double-check your solution to ensure accuracy?

Tip: Always simplify inside parentheses first, and follow the order of operations to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS/BODMAS)
Arithmetic

Formulas

Simplification of expressions using parentheses and brackets

Theorems

Order of operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7