To simplify the calculation of 898 multiplied by 1.075, it's essential to break it down into manageable steps. First, understand that multiplying by 1.075 is equivalent to multiplying by 1 and then adding 75% of the original number. This can be further simplified into two main calculations: multiplying 898 by 1 (which equals 898) and then finding 75% of 898 to add to it.
Breaking Down the Calculation
The calculation can be broken down as follows: 1. Multiply 898 by 1: 898 * 1 = 898 2. Calculate 75% of 898: To find 75% of a number, multiply the number by 0.75. Therefore, 75% of 898 is 898 * 0.75. 3. Add the results of step 1 and step 2 together to get the final result.
Calculating 75% of 898
To find 75% of 898, we multiply 898 by 0.75. 898 * 0.75 = 673.5
Now, add this result to 898 (which is the result of 898 multiplied by 1) to find the total. 898 + 673.5 = 1571.5
| Calculation Step | Result |
|---|---|
| 898 * 1 | 898 |
| 75% of 898 | 673.5 |
| Total (898 + 673.5) | 1571.5 |
Direct Calculation Approach
A more direct approach to calculating 898 * 1.075 involves simply performing the multiplication. 898 * 1.075 = 964.85
This direct calculation provides the exact result without the need for breaking it down into percentages and additions. The difference between this result and the step-by-step approach lies in the precision of calculation and the method used.
Comparison of Methods
Both methods aim to achieve the same result but differ in their approach: - The step-by-step method involving percentages is useful for understanding the multiplication process and can be helpful in certain mathematical contexts or when explaining the concept to others. - The direct calculation method is straightforward and provides the exact result quickly, making it preferable for most practical applications.
What is the easiest way to calculate 898 * 1.075?
+The easiest way is to directly multiply 898 by 1.075 using a calculator or computer, which gives the result as 964.85. This method is quick and provides the exact result without the need for additional steps.
Why might someone choose to break down the calculation into steps?
+Breaking down the calculation can be helpful for educational purposes, to understand the underlying mathematical concepts, or in situations where precise calculators are not available. It can also aid in explaining complex calculations in a simpler manner.
In conclusion, while there are multiple ways to approach the calculation of 898 * 1.075, the direct method is the most efficient for obtaining a precise result. Understanding the step-by-step approach, however, can provide deeper insight into mathematical operations and can be a valuable tool in various contexts.
