When faced with a multiplication problem like 898 x 1.075, it's essential to break it down into manageable steps to ensure an accurate solution. This guide will walk you through the process, providing a clear understanding of how to tackle such calculations.
Understanding the Problem
The given problem involves multiplying a whole number 898 by a decimal 1.075. To solve this, we'll employ a step-by-step approach, utilizing the concept of decimal multiplication.
Step-by-Step Solution
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Write Down the Multiplicands: Begin by writing down the two numbers you want to multiply. In this case, it's 898 and 1.075.
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Convert the Decimal to a Whole Number: To simplify the multiplication, convert the decimal 1.075 into a whole number. This can be done by moving the decimal point three places to the right, resulting in 1075.
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Multiply the Whole Numbers: Now, perform the multiplication between 898 and 1075. This can be done using the standard multiplication method or a calculator.
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Add the Decimal Place: After obtaining the product of the whole numbers, add the decimal place back to the result. Since the original decimal had three decimal places, the final answer should also have three decimal places.
Example Calculation
Let's apply these steps to our problem:
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Multiplicands: 898 and 1.075
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Converted Decimal: 1075
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Multiplication: 898 x 1075 = 968,150
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Final Answer: With three decimal places, the answer is 968.150.
Key Takeaways
- Multiplying a whole number by a decimal involves converting the decimal to a whole number and then performing standard multiplication.
- Always ensure that the final answer has the same number of decimal places as the original decimal.
- Practice with similar problems to become more comfortable with decimal multiplication.
📌 Note: Remember to keep the decimal places consistent throughout the calculation to ensure an accurate result.
Conclusion
Mastering decimal multiplication is an essential skill for various mathematical and real-life scenarios. By following the step-by-step guide provided, you can confidently tackle problems like 898 x 1.075 and achieve accurate results. Practice and familiarity with these concepts will enhance your mathematical abilities and make complex calculations more manageable.
FAQ
Can I use a calculator for decimal multiplication?
+Absolutely! Calculators are a convenient tool for decimal multiplication, especially for more complex calculations. However, it’s beneficial to understand the manual process as well, as it enhances your mathematical skills and problem-solving abilities.
How do I know how many decimal places to include in the final answer?
+The number of decimal places in the final answer should match the number of decimal places in the original decimal. For example, if the decimal has two decimal places, your final answer should also have two decimal places.
Are there any shortcuts for decimal multiplication?
+While there are no shortcuts per se, practicing with different types of decimal multiplication problems can help you develop a more efficient approach. Over time, you may find patterns or strategies that work best for you.
