To find the result of .69 multiplied by 700, we can perform the calculation directly. Multiplication of a decimal by a whole number involves the same process as multiplying whole numbers, with the added step of correctly placing the decimal point in the final product.
Step-by-Step Calculation
The calculation of .69 multiplied by 700 can be broken down as follows:
First, we ignore the decimal point and multiply 69 by 700.
Multiplication Process
The multiplication of 69 by 700 is:
69 * 700 = 48300
Now, we need to correctly place the decimal point in our product. Since .69 has two decimal places, we place the decimal point two places from the right in 48300, resulting in 483.00.
| Operation | Result |
|---|---|
| Multiplication of 69 by 700 | 48300 |
| Placement of Decimal Point | 483.00 |
Therefore, .69 multiplied by 700 equals 483.00. This calculation can be applied in various real-world scenarios, such as calculating costs or quantities in business, science, or everyday life.
Real-World Applications
The ability to quickly and accurately perform calculations like .69 multiplied by 700 is essential in many fields. For instance, in business, this could relate to calculating the total cost of items priced at $0.69 each when purchasing 700 units. In science, similar calculations are crucial for experiments and data analysis.
Calculation Speed and Accuracy
Improving calculation speed and accuracy can significantly enhance productivity and decision-making in professional and personal contexts. Utilizing calculators or software for complex calculations and practicing mental math for simpler operations can help achieve this.
In conclusion, the calculation of .69 multiplied by 700 results in 483.00, demonstrating the importance of understanding decimal multiplication in various applications.
How do you multiply decimals by whole numbers?
+To multiply decimals by whole numbers, first ignore the decimal point and multiply the numbers as if they were whole. Then, place the decimal point in the product based on the number of decimal places in the original decimal number.
What is the significance of correctly placing the decimal point in multiplication results?
+Correctly placing the decimal point is crucial because it determines the actual value of the result. Incorrect placement can lead to significant errors in calculations and subsequent decisions, especially in fields like finance, science, and engineering.
