To calculate 2300 x 1.075, we simply multiply the two numbers together. This operation involves multiplying a whole number by a decimal, which can be done directly.
Calculation Steps
The calculation is straightforward: 2300 (the whole number) multiplied by 1.075 (the decimal number). To perform this calculation, we follow the standard rules of multiplication, considering the decimal point in the multiplier.
Performing the Multiplication
We start by multiplying 2300 by 1.075. It can be helpful to break down the decimal into its whole and fractional parts for easier calculation, but in this case, we’ll proceed with direct multiplication.
The calculation is as follows: 2300 * 1.075 = 2476.5
| Calculation Component | Value |
|---|---|
| Multiplicand | 2300 |
| Multiplier | 1.075 |
| Result | 2476.5 |
Applications and Considerations
This type of calculation can be applied in various real-world scenarios, including finance (e.g., calculating interest or investments), science (e.g., scaling measurements), and everyday commerce (e.g., applying discounts or markups to prices). Understanding how to perform such calculations accurately is crucial for making informed decisions in these fields.
Real-World Example
Consider a business scenario where an item originally priced at 2300 is subject to a 7.5% increase. The calculation 2300 x 1.075 would give the new price of the item after the increase, which is 2476.50. This demonstrates how the multiplication by a decimal can represent percentage changes in practical applications.
What is the purpose of multiplying by a decimal in real-world applications?
+Multiplying by a decimal is often used to calculate percentage increases or decreases, apply discounts, or compute interest rates in financial transactions, among other applications. It provides a straightforward way to adjust quantities based on proportional changes.
How do you ensure accuracy when multiplying whole numbers by decimals?
+Accuracy can be ensured by correctly placing the decimal point in the result, which is determined by the number of decimal places in the multiplier. Double-checking calculations, especially in critical applications, and using calculators or software for complex computations can also help maintain accuracy.
