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Understanding the Basics of Subtraction
What Is Subtraction?
Subtraction is one of the four basic operations of arithmetic, used to find the difference between two numbers. It involves taking away a number (the subtrahend) from another number (the minuend). The result is called the difference.
Why Is Subtraction Important?
Subtraction helps in various real-world scenarios such as calculating change, determining remaining quantities, or analyzing data. Mastering subtraction is crucial for progressing in mathematics and related fields.
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Step-by-Step Calculation of 11.46 minus 1.5
Aligning the Numbers
To perform the subtraction, it’s best to align the numbers vertically, ensuring decimal points are lined up:
```
11.46
- 1.50
```
Note: When subtracting, it's helpful to write 1.5 as 1.50 to match decimal places, which simplifies the process.
Performing the Subtraction
Starting from the rightmost digit:
1. Hundths place: 6 - 0 = 6
2. Tenths place: 4 - 5 — here, since 4 is less than 5, we need to borrow 1 from the units place.
3. Borrowing process:
- Reduce the units digit (6) in 11.46 by 1, making it 5.
- The tenths digit (4) becomes 14 (after borrowing 1, which equals 10).
4. Now, subtract: 14 - 5 = 9
5. Units place: 5 (after borrowing) minus 1 = 4
6. The whole number part: 11 - 1 = 10 (after adjusting for the borrow)
Putting it all together:
```
11.46
- 1.50
---------
9.96
```
Result: 11.46 minus 1.5 equals 9.96.
---
Alternative Methods for Calculation
Using a Calculator
The most straightforward way for most people is to use a calculator:
- Input: 11.46
- Press the minus sign (-)
- Input: 1.5
- Press equals (=)
The calculator will display 9.96.
Estimating the Result
Estimation helps verify the reasonableness of the answer:
- 11.46 is close to 11.5
- 1.5 is exactly 1.5
- 11.5 - 1.5 = 10
Since 11.46 is slightly less than 11.5, the actual result (9.96) makes sense as it's just under 10.
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Related Concepts and Applications
Dealing with Decimals in Subtraction
When subtracting decimal numbers, always align decimal points and ensure the same number of decimal places, adding zeros if necessary. This method prevents mistakes and simplifies mental calculations.
Practical Examples of 11.46 minus 1.5
- Financial Transactions: Calculating remaining balance after a payment.
- Shopping and Discounts: Adjusting prices or calculating change.
- Data Analysis: Adjusting measurements or quantities.
Common Mistakes to Avoid
- Failing to align decimal points.
- Forgetting to borrow when subtracting larger digits from smaller ones.
- Ignoring the decimal places, leading to incorrect results.
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Real-World Scenarios Involving Similar Calculations
Budget Management
Suppose you have $11.46 in your wallet, and you spend $1.50 on a coffee. How much money do you have left? The calculation:
- $11.46 - $1.50 = $9.96
This simple subtraction helps you keep track of your expenses and manage your budget effectively.
Measurement Adjustments
In scientific experiments or cooking, adjustments often involve subtracting small decimal quantities. For example, if a solution's initial volume is 11.46 liters, and you remove 1.5 liters, the remaining volume is:
- 11.46 - 1.5 = 9.96 liters
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Conclusion
Understanding how to accurately perform calculations like 11.46 minus 1.5 is fundamental to mastering arithmetic and applying it in daily life. Whether using manual methods, calculators, or estimation techniques, the key is proper alignment and attention to detail. The result, 9.96, exemplifies the importance of precision in decimal subtraction.
By practicing such calculations regularly, you enhance your numerical literacy, which benefits personal finance, academic pursuits, and professional tasks. Remember, the basic principles of subtraction remain the same regardless of the numbers involved, making this a vital skill for everyone.
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Additional Resources for Learning Subtraction
- Math tutorials on decimal operations.
- Interactive subtraction exercises.
- Financial calculators for quick computations.
- Educational games focused on arithmetic skills.
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Feel free to explore more about decimal operations, practice different subtraction problems, and incorporate these skills into your everyday tasks for better accuracy and confidence.
Frequently Asked Questions
What is 11.46 minus 1.5?
11.46 minus 1.5 equals 9.96.
How do I subtract 1.5 from 11.46?
Subtract 1.5 from 11.46 by aligning decimal points: 11.46 - 1.50 = 9.96.
Is the result of 11.46 minus 1.5 a decimal number?
Yes, the result is 9.96, which is a decimal number.
Can I use a calculator to find 11.46 minus 1.5?
Yes, using a calculator will give you the result of 9.96.
What is the difference between 11.46 and 1.5?
The difference is 9.96.
Is 11.46 minus 1.5 greater than 9?
Yes, 11.46 minus 1.5 equals 9.96, which is greater than 9.
How can I quickly estimate 11.46 minus 1.5?
You can round 11.46 to 11.5 and subtract 1.5, giving approximately 10, then adjust to get 9.96.
Does subtracting 1.5 from 11.46 affect the decimal places?
Yes, the subtraction results in a number with two decimal places: 9.96.
What is the significance of calculating 11.46 minus 1.5?
It's a basic subtraction problem useful for financial calculations, measurements, or practice in decimal subtraction.
