Math Problem Statement

Solution

Let's evaluate the expression step by step. The expression is:

[322(1+4)]÷0.5\left[\frac{3^2}{2} - (1 + 4)\right] \div 0.5

Step 1: Evaluate 323^2

32=93^2 = 9

Step 2: Divide by 2

92=4.5\frac{9}{2} = 4.5

Step 3: Add inside the parentheses

1+4=51 + 4 = 5

Step 4: Subtract from 4.5

4.55=0.54.5 - 5 = -0.5

Step 5: Divide by 0.5

0.5÷0.5=1-0.5 \div 0.5 = -1

The final answer is 1-1, which corresponds to option D.

Do you want more details or have any questions?

Here are 5 related questions:

  1. How do you evaluate expressions with exponents and division?
  2. What is the importance of the order of operations (PEMDAS) in evaluating expressions?
  3. How does dividing by a fraction (e.g., 0.5) affect the result?
  4. Can you solve a similar expression where 323^2 is replaced by 424^2?
  5. What happens if the subtraction inside the brackets results in a positive number?

Tip: Always remember the order of operations (PEMDAS/BODMAS) when evaluating complex expressions to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Order of operations
Exponents
Division

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8