Multiplication is a fundamental operation in mathematics that involves the repeated addition of a number. In this case, we are looking at the multiplication of 4.99 by 0.825. To solve this problem, we will follow the standard procedure for multiplying decimal numbers.
Multiplication Procedure
To multiply 4.99 by 0.825, we will first multiply the numbers as if they were whole numbers, ignoring the decimal points. This gives us 4.99 * 0.825 = 4.99 * 825 / 1000. We can simplify this to 4120.25 / 1000.
Calculation Steps
Now, let’s break down the calculation step by step:
- First, we multiply 4.99 and 825: 4.99 * 825 = 4120.25
- Then, we divide the result by 1000 to account for the decimal places: 4120.25 / 1000 = 4.12025
Therefore, the result of multiplying 4.99 by 0.825 is 4.12025.
| Multiplication Components | Values |
|---|---|
| Multiplicand | 4.99 |
| Multiplier | 0.825 |
| Result | 4.12025 |
Real-World Applications
Multiplication of decimal numbers is a crucial operation in various real-world applications, such as:
- Finance: Calculating interest rates, investment returns, and currency exchange rates often involve multiplying decimal numbers.
- Science: Scientific calculations, like determining the area of a circle or the volume of a cylinder, require accurate multiplication of decimal numbers.
- Engineering: Multiplication of decimal numbers is used in various engineering disciplines, including mechanical engineering, to calculate forces, stresses, and strains.
In conclusion, mastering the multiplication of decimal numbers, such as 4.99 and 0.825, is essential for various real-world applications. By following the standard procedure and keeping track of decimal places, we can ensure accurate results and build a strong foundation in mathematics.
What is the rule for multiplying decimal numbers?
+To multiply decimal numbers, we multiply the numbers as if they were whole numbers, ignoring the decimal points, and then place the decimal point in the product based on the total number of decimal places in the factors.
How do I determine the number of decimal places in the product?
+The number of decimal places in the product is equal to the sum of the decimal places in the factors. In this case, we have two decimal places in the multiplicand and three in the multiplier, resulting in a total of five decimal places in the product.
