What is 41% of $61.04? round to nearest cent
The Correct Answer and Explanation is:
To find 41% of $61.04, we follow these steps:
- Convert the percentage to a decimal:
[
41\% = \frac{41}{100} = 0.41
] - Multiply the decimal by the amount:
[
0.41 \times 61.04 = 24.9994
] - Round to the nearest cent:
The nearest cent means rounding to two decimal places. In this case, we look at the third decimal place (the digit after the second decimal). Since the third decimal is 9, which is greater than 5, we round up. Therefore:
[
24.9994 \approx 25.00
]
Thus, 41% of $61.04 is approximately $25.00 when rounded to the nearest cent.
Explanation
Understanding how to calculate a percentage of a specific amount is a fundamental skill in mathematics and finance. The process begins with converting the percentage into a decimal. This is achieved by dividing the percentage by 100, as percentages are based on a hundred. For example, to find 41%, we divide 41 by 100, yielding 0.41.
Next, we multiply the decimal (0.41) by the given amount ($61.04). This multiplication gives us the actual dollar value that corresponds to 41% of $61.04. It’s important to perform this calculation carefully, paying attention to place values to avoid errors.
After obtaining the product (24.9994), the next step is rounding. Rounding is crucial when dealing with currency, as financial transactions typically require amounts to be in two decimal places. When rounding, if the digit following the last required decimal (in this case, the third decimal) is 5 or higher, we round up the last included decimal. If it is lower than 5, we simply drop the additional digits.
In our calculation, since the third decimal is 9, we round up from 24.99 to 25.00. Thus, the final answer, $25.00, accurately reflects 41% of $61.04, adhering to the conventions of rounding in financial contexts.