The calculation of .76 times 110 is a straightforward mathematical operation. To find the result, we multiply the two numbers together. The multiplication of a decimal by an integer involves multiplying the decimal as if it were a whole number and then placing the decimal point in the correct position based on the original decimal's placement.
Multiplication Process
To calculate .76 times 110, we first multiply 76 (the whole number form of .76) by 110. This gives us 76 * 110 = 8360. Since .76 has two decimal places, we then place the decimal point two positions from the right in our result, yielding 83.60.
Calculation Verification
To verify the calculation, we can use a calculator or perform the multiplication step by step:
- Multiply 70 by 110: 70 * 110 = 7700
- Multiply 6 by 110: 6 * 110 = 660
- Add the two results together: 7700 + 660 = 8360
- Place the decimal point two positions from the right: 83.60
| Operation | Result |
|---|---|
| 76 * 110 | 8360 |
| Decimal Placement | 83.60 |
Application in Real-World Scenarios
The ability to quickly calculate decimal multiplication, such as .76 times 110, is essential in various real-world applications, including finance, science, and engineering. For example, in finance, calculating interest or percentages of a total often involves decimal multiplication. In science, measurements and calculations frequently require decimal operations to ensure accuracy.
Financial Application Example
Consider a scenario where an investment of 110 is expected to yield a 76% return. The calculation of .76 times 110 gives us the amount of return: 83.60. This is a straightforward example of how decimal multiplication applies to real financial calculations.
In conclusion, the calculation of .76 times 110 results in 83.60. This operation demonstrates the importance of understanding decimal multiplication and its application in various fields. By mastering such calculations, individuals can enhance their problem-solving skills and make more informed decisions in both personal and professional contexts.
How do you multiply decimals by integers?
+To multiply a decimal by an integer, first multiply the decimal as if it were a whole number, then place the decimal point in the correct position based on the original decimal’s placement.
What is the significance of decimal multiplication in real-world applications?
+Decimal multiplication is crucial in finance for calculating percentages and interest, in science for measurements and calculations, and in engineering for designing and problem-solving. It ensures accuracy in various applications.
