Multiplying 37.35 by 0.20 can seem daunting, but it’s actually quite simple. Let’s break it down step by step.
Understanding the Numbers
Before we start multiplying, let’s take a closer look at the numbers we’re working with. We have 37.35, which is a decimal number, and 0.20, which is also a decimal number.
🤔 Note: When multiplying decimal numbers, it's essential to keep track of the decimal places.
Multiplying Decimal Numbers
To multiply 37.35 by 0.20, we’ll follow the same steps as multiplying whole numbers, but we’ll also keep track of the decimal places.
First, we’ll multiply 37.35 by 20 (ignoring the decimal point for now):
37.35 × 20 = 747.00
Next, we’ll multiply 0.20 by 1 (essentially, we’re multiplying by 1⁄5):
0.20 × 1 = 0.20
Now, we’ll multiply the two results together:
747.00 × 0.20 = 149.40
Finally, we’ll place the decimal point in the correct position. Since we multiplied by 0.20, we’ll move the decimal point two places to the left:
149.40 → 7.4740
Round the result to two decimal places, as is typical for financial calculations:
7.4740 → 7.47
The Answer
37.35 multiplied by 0.20 is equal to 7.47.
📝 Note: Make sure to double-check your calculations, especially when working with decimal numbers.
By breaking down the multiplication into smaller steps, we’ve made it easier to understand and calculate the result.
What is the most important thing to remember when multiplying decimal numbers?
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Keeping track of the decimal places is crucial when multiplying decimal numbers.
How do you multiply decimal numbers?
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Multiply the numbers as you would whole numbers, then place the decimal point in the correct position based on the original numbers.
Why is it essential to double-check calculations when working with decimal numbers?
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Decimal calculations can be prone to errors, and small mistakes can lead to significant differences in the result.
In summary, multiplying 37.35 by 0.20 involves understanding the numbers, following the order of operations, and keeping track of the decimal places. By doing so, you can ensure accurate results and become more confident in your math skills.
