What is 12 × 3 – 9 × 2 – 4 × 3? This expression involves both multiplication and subtraction, and by solving it step by step, we can find the answer. First, multiply the numbers: 12 × 3 = 36, 9 × 2 = 18, and 4 × 3 = 12. Next, substitute these results back into the expression to get 36 – 18 – 12. Simplifying this gives us 36 – 18 = 18, and then 18 – 12 = 6. Thus, the final answer to the expression 12 × 3 – 9 × 2 – 4 × 3 is 6.
Understanding the Components of the Expression
To fully grasp the calculation of 12 × 3 – 9 × 2 – 4 × 3, it’s essential to break down each component:
1. Multiplication
The multiplication operations in this expression are straightforward:
- 12 × 3: This equals 36. Multiplying twelve by three gives us thirty-six.
- 9 × 2: Here, nine multiplied by two results in 18.
- 4 × 3: Finally, four multiplied by three gives us twelve.
2. Subtraction
After calculating the products, we move on to the subtraction:
- Starting with thirty-six (from 12 × 3), we subtract eighteen (from 9 × 2) to get eighteen.
- Then, we take eighteen and subtract twelve (from 4 × 3), leaving us with a final result of six.
Step-by-Step Calculation
For clarity, let’s lay out the entire calculation step-by-step:
Step 1: Multiplication
Calculating each multiplication portion:
- 12 × 3 = 36
- 9 × 2 = 18
- 4 × 3 = 12
Step 2: Substitute & Simplify
Substituting these values back into the expression:
- 36 – 18 – 12
Step 3: First Subtraction
Now performing the first subtraction:
- 36 – 18 = 18
Step 4: Second Subtraction
Proceeding to the next subtraction:
- 18 – 12 = 6
The Final Result
The calculation concludes with an answer of 6. It’s essential to approach such expressions methodically, ensuring each arithmetic operation is conducted with precision.
Common Mistakes to Avoid
When dealing with expressions like 12 × 3 – 9 × 2 – 4 × 3, several common pitfalls might arise:
- Neglecting the order of operations: Always adhere to multiplication before subtraction.
- Forgetting to include all terms: Ensure that every part of the expression is accounted for.
- Misapplying arithmetic: Double-check calculations, especially during subtraction.
Advanced Exploration: The Significance of Arithmetic in Daily Life
Understanding arithmetic is crucial not only in academic settings but also in daily life. Your ability to solve problems like 12 × 3 – 9 × 2 – 4 × 3 translates into practical applications:
1. Financial Literacy
Managing your finances involves addition, subtraction, and an understanding of how different financial decisions can impact your savings and expenses.
2. Planning and Budgeting
Creating a budget requires knowing how to calculate total expenses and compare them against your income. Being proficient in arithmetic is vital for financial health.
3. Everyday Decision Making
Whether you’re cooking a recipe, determining travel times, or shopping, arithmetic plays a pivotal role in effective decision-making.
FAQ
What is the order of operations in arithmetic?
The order of operations is crucial and follows the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This ensures accurate calculations in expressions involving multiple operations.
How do I simplify expressions with multiplication and subtraction?
To simplify such expressions, perform the multiplication first, then substitute the results into the expression before conducting the subtraction step-by-step.
Are there any tools to help with learning arithmetic?
Yes! Numerous online tools, apps, and educational websites offer interactive exercises and lessons designed to improve your arithmetic skills. Programs like Khan Academy and various math apps can enhance understanding.
Why is understanding arithmetic important?
Arithmetic is foundational for everyday activities, including budgeting, cooking, shopping, and problem-solving. It enhances critical thinking and decision-making skills.
How can I practice arithmetic effectively?
Regular practice through worksheets, quizzes, and real-world application scenarios can reinforce your arithmetic skills. Engaging in math games or using apps that focus on math challenges also aids in practice.
Conclusion
In conclusion, the expression 12 × 3 – 9 × 2 – 4 × 3 neatly simplifies down to an answer of 6 through systematic arithmetic operations. Familiarity with such calculations is vital not just for educational pursuits but for fostering practical life skills that can improve financial literacy and problem-solving abilities. By tackling arithmetic confidently, you empower yourself for a multitude of everyday scenarios.
