Multiplication Made Easy: Simplifying Calculations
When it comes to multiplication, we often find ourselves dealing with complex numbers that can be challenging to calculate. However, with the right approach, even the most daunting multiplication problems can be simplified. In this article, we will explore a straightforward method to calculate 1469 x 1.075, a multiplication problem that may seem intimidating at first but can be easily solved with the right technique.
Understanding the Concept of Multiplication
Before diving into the calculation, it’s essential to understand the concept of multiplication. Multiplication is a mathematical operation that represents the process of repeated addition. For example, 3 x 4 means adding 3 together 4 times, resulting in 12. However, when dealing with decimals and large numbers, this concept can be applied in a more sophisticated way.
Breaking Down the Calculation
To calculate 1469 x 1.075, we can break down the problem into smaller, more manageable parts. This will make it easier to understand the calculation and arrive at the correct answer.
📝 Note: It's essential to take your time when breaking down complex calculations to avoid errors.
Let’s start by breaking down 1469 x 1.075 into two separate calculations:
- 1469 x 1
- 1469 x 0.075
Calculating 1469 x 1
The first part of the calculation, 1469 x 1, is straightforward. Multiplying any number by 1 results in the original number, so:
1469 x 1 = 1469
Calculating 1469 x 0.075
For the second part of the calculation, we need to multiply 1469 by 0.075. To simplify this calculation, we can convert 0.075 to a fraction by dividing it by 100:
0.075 = 75⁄1000
Now, we can multiply 1469 by 75 and then divide the result by 1000:
1469 x 75 = 110,175
110,175 ÷ 1000 = 110.175
Combining the Results
Now that we have calculated the two parts of the problem, we can combine the results to arrive at the final answer:
1469 x 1 = 1469 1469 x 0.075 = 110.175
Adding these two results together gives us the final answer:
1469 x 1.075 = 1469 + 110.175 = 1579.175
Verifying the Answer
To ensure the accuracy of our calculation, we can use a calculator to verify the answer:
1469 x 1.075 = 1579.175
As expected, the result matches our manual calculation.
Conclusion
Multiplying large numbers and decimals can seem daunting, but by breaking down the calculation into smaller parts and applying simple mathematical concepts, we can arrive at the correct answer with ease. By understanding the concept of multiplication and applying the techniques outlined in this article, you can simplify even the most complex multiplication problems and achieve accurate results.
What is the concept of multiplication?
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Multiplication is a mathematical operation that represents the process of repeated addition.
How can we simplify complex multiplication problems?
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We can simplify complex multiplication problems by breaking them down into smaller parts and applying simple mathematical concepts.
What is the result of the calculation 1469 x 1.075?
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The result of the calculation 1469 x 1.075 is 1579.175.
