4.05×0.8
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Understanding the Equation 4.05×0.8
Let’s dive into the world of mathematics and unravel the enigma behind the equation 4.05×0.8. This seemingly simple multiplication problem holds hidden complexities that we’ll explore together.
To comprehend this equation, we need to understand how multiplication works and what each number represents. In this case, 4.05 is our multiplicand, or the number being multiplied, while 0.8 serves as our multiplier or factor.
Multiplying decimals may seem intimidating at first, but fear not! It’s just a matter of following a few steps to arrive at the correct solution. Here’s how it works:
- Ignore the decimals for now and multiply as if you were working with whole numbers: 405 multiplied by 8.
- Multiply each digit in the multiplicand (405) by the single digit multiplier (8) starting from right to left.
- Begin with multiplying 5 by 8, which gives us 40.
- Move on to multiply 0 by 8, resulting in 0.
- Finally, multiply 4 by 8 and get 32.
Now that we have these partial products, it’s time to bring back those pesky decimals into play.
The original problem had two decimal places in total – one for each number involved: four tenths (0.x) for our multiplicand and eight tenths (0.x) for our multiplier.
To determine where the decimal point should be placed in our final answer, count all decimal places in both numbers combined – in this case, two decimal places altogether.
Thus, we position our decimal point two places from right to left in our product: “32” becomes “0.32.”
So there you have it! The solution to the equation is indeed “4.05×0.8 = 0.32.” With a little understanding and some quick calculations, we’ve successfully solved this math problem.
Remember, math is all about breaking down complex problems into manageable steps. By mastering the fundamentals, you’ll be well-equipped to tackle more challenging equations with confidence. Keep practicing and exploring the fascinating world of numbers!
Steps to Solve the Equation
Alright, let’s dive into the steps to solve this equation: 4.05×0.8. It may seem a bit perplexing at first, but fear not! I’m here to guide you through it.
- First off, we’ll start by multiplying 4.05 and 0.8 together. To do this, simply multiply the whole numbers first and then the decimals separately.
- Multiply 4 by 0 (which equals 0).
- Multiply 4 by 8 (which equals 32).
- Now, multiply the decimal point values: multiply 0.05 by 8 (which equals 0.4).
- Adding all these results together gives us a total of 3.24.
- Great job so far! Now that we have our multiplied value of 3.24, we can consider this as our new equation: 3.24 = ?
- The next step is to isolate the variable or unknown value on one side of the equation while keeping all other terms on the other side.
Since our equation only consists of one term, which is already isolated on one side, we don’t need to perform any additional operations. - Finally, we have arrived at our solution! We now know that the value of x in the equation 4.05×0.8 is equal to 3.24.
And there you have it! By following these simple steps, you can confidently solve equations like this one with ease.