25 × 6 ÷ 4 + 3 - 2

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Understand the Problem

The question is asking to solve a mathematical expression involving multiplication, division, addition, and subtraction. To solve it, we will follow the order of operations (PEMDAS/BODMAS rules), which dictate the sequence in which operations should be carried out.

Answer

$38.5$
Answer for screen readers

The final answer is $38.5$.

Steps to Solve

  1. Identify the order of operations According to PEMDAS/BODMAS, we handle multiplication and division from left to right before addition and subtraction.

  2. Perform the multiplication First, we calculate $25 \times 6$: $$ 25 \times 6 = 150 $$

  3. Perform the division Next, we divide the result by 4: $$ 150 \div 4 = 37.5 $$

  4. Perform the addition Now, we add 3 to the previous result: $$ 37.5 + 3 = 40.5 $$

  5. Perform the subtraction Finally, we subtract 2 from the last result: $$ 40.5 - 2 = 38.5 $$

The final answer is $38.5$.

More Information

This expression showcases several basic operations and is a good example of applying the order of operations. Understanding how to simplify equations step by step is crucial in mathematics.

Tips

  • Forgetting to follow the correct order of operations can lead to incorrect results. Always complete multiplication and division before addition and subtraction.
  • Miscalculating during any step can lead to a cumulative error in the final answer. Double-check each calculation.

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