Understanding the 16.90 x 0.06 Conversion
When dealing with decimal numbers, conversions can sometimes be tricky. In this case, we’re looking at the conversion of 16.90 multiplied by 0.06. This operation involves multiplying a two-decimal place number by a fraction of a hundred. To break it down, we’ll go through the step-by-step process of converting and calculating this expression.
Breaking Down the Calculation
To start, let’s look at the given expression: 16.90 x 0.06. This is a simple multiplication problem. However, since both numbers are decimals, we need to understand the underlying values.
16.90: This is a decimal number representing sixteen and ninety hundredths.
0.06: This is a decimal number representing six hundredths.
Multiplying Decimals
When multiplying decimals, we simply multiply the numbers as if they were whole numbers and then place the decimal point in the correct position in the answer.
In this case:
16.90 x 0.06 =?
First, multiply the numbers without considering the decimal points:
1690 x 6 = 10140
Next, we need to place the decimal point correctly in the answer. The total number of decimal places in the two original numbers is 5 (2 from 16.90 and 3 from 0.06, but since 0.06 has only 2 significant digits, we count 2 from 16.90 and 2 from 0.06). Therefore, the decimal point in the answer should be placed so that the answer also has a total of 5 decimal places.
10140 becomes 1.0140
So, the result of 16.90 x 0.06 is 1.0140.
Practical Applications
This kind of conversion is commonly used in real-world applications such as:
- Finance: Calculating interest rates or investment returns.
- Science: Measuring and converting physical quantities.
- Cooking: Converting between different units of measurement for ingredients.
Important Notes
When performing decimal conversions and multiplications, it’s crucial to:
- Understand the place value of each digit in the numbers involved.
- Correctly place the decimal point in the answer based on the total number of decimal places in the original numbers.
💡 Note: Always double-check your calculations, especially when dealing with decimal conversions and multiplications.
Summary
The conversion of 16.90 x 0.06 involves multiplying two decimal numbers and correctly placing the decimal point in the answer. The result of this calculation is 1.0140. Understanding how to perform this type of conversion is essential for various real-world applications.
By mastering decimal conversions and multiplications, you can tackle more complex problems and calculations with confidence.
Important Reminders
- Practice: Regular practice helps reinforce your understanding of decimal conversions and multiplications.
- Attention to Detail: Pay close attention to the placement of the decimal point in your calculations.
What is the result of 16.90 x 0.06?
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The result of 16.90 x 0.06 is 1.0140.
Why is it important to understand decimal conversions and multiplications?
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Understanding decimal conversions and multiplications is crucial for various real-world applications, such as finance, science, and cooking.
What is the key to correctly placing the decimal point in the answer?
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The key to correctly placing the decimal point in the answer is to consider the total number of decimal places in the original numbers.
