To calculate the result of 0.4662 times 67, we simply multiply these two numbers together.
Calculation Process
The calculation involves multiplying a decimal number by an integer. This operation follows the standard rules of multiplication, where the decimal point is taken into account.
Step-by-Step Calculation
First, we ignore the decimal point and multiply 4662 by 67. This can be broken down into simpler multiplication operations to make the calculation easier.
The multiplication of 4662 by 67 is as follows:
| Partial Multiplication | Result |
|---|---|
| 4000 * 67 | 268000 |
| 600 * 67 | 40200 |
| 60 * 67 | 4020 |
| 2 * 67 | 134 |
Next, we add all these partial results together to get the total before adjusting for the decimal point:
268000 + 40200 + 4020 + 134 = 312354
Adjusting for the Decimal Point
Since the original number was 0.4662, we have to adjust our result to reflect that it is a decimal multiplication. The decimal point in 0.4662 is four places from the right, so our result needs to be adjusted accordingly.
Thus, the final result of 0.4662 times 67, taking into account the decimal places, is 31.2354.
This calculation demonstrates the straightforward process of multiplying a decimal number by an integer, emphasizing the importance of correctly handling the decimal point to obtain an accurate result.
Importance of Accurate Calculation
In various fields, such as science, engineering, and finance, accurate calculations are crucial. A small mistake, such as misplacing the decimal point, can lead to significant errors with serious consequences.
Therefore, understanding and practicing the correct methods for multiplying decimals by integers is fundamental for anyone working with numbers, whether in academic, professional, or personal contexts.
What is the result of multiplying 0.4662 by 67?
+The result of multiplying 0.4662 by 67 is 31.2354.
Why is it important to correctly place the decimal point in multiplication results?
+Correctly placing the decimal point is crucial because it directly affects the accuracy and validity of subsequent calculations or interpretations. Incorrect placement can lead to significant errors.
