Calculating 1260 x 1.075 - Quick Math Solution

Breaking Down the Calculation

When faced with a calculation like 1260 x 1.075, it’s essential to understand the steps involved to arrive at the correct answer. In this case, we’re dealing with multiplication of a whole number by a decimal. The process is straightforward but requires attention to detail.

Step-by-Step Calculation

To calculate 1260 x 1.075, follow these steps:

1. Multiply 1260 by 1: The first step is to multiply 1260 by the whole number part of 1.075, which is 1. This results in 1260.

2. Multiply 1260 by 0.075: Next, we multiply 1260 by the decimal part of 1.075, which is 0.075. To make this easier, we can think of 0.075 as ⁷⁵⁄₁₀₀₀ or ³⁄₄₀. However, for simplicity, we’ll proceed with the direct multiplication.

   • 1260 x 0.075 = 94.5

3. Add the Results Together: Finally, we add the results of the two multiplications to get the final answer.

   • 1260 + 94.5 = 1354.5

Final Answer

After performing the multiplication and addition, we find that 1260 x 1.075 equals 1354.5.

📝 Note: When multiplying a whole number by a decimal, it's often helpful to break down the decimal into its whole number part and its fractional part, as shown in the steps above. This method simplifies the calculation and reduces the chance of errors.

Using this step-by-step approach, you can easily solve similar multiplication problems involving decimals. Remember, the key is to break down the calculation into manageable parts.

What is the first step in calculating 1260 x 1.075?

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The first step is to multiply 1260 by the whole number part of 1.075, which is 1.

How do you multiply 1260 by 0.075?

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To multiply 1260 by 0.075, simply perform the multiplication as you would with any decimal, taking care to place the decimal point correctly in the answer.

What is the final answer to 1260 x 1.075?

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The final answer is 1354.5.

The Solution Explained

Breaking down complex calculations into simpler steps is crucial for accuracy and understanding. The solution to 1260 x 1.075 demonstrates this principle by separating the calculation into manageable parts. This method can be applied to a wide range of mathematical problems, ensuring clarity and precision in your calculations.