What number is 5% of 190?
The Correct Answer and Explanation is :
To find 5% of 190, you can use the formula for calculating percentages, which is:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case, we need to find the part that represents 5% of the whole (which is 190). The formula can be rearranged to find the part:
[
\text{Part} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Whole}
]
Substituting in the values, we get:
[
\text{Part} = \left(\frac{5}{100}\right) \times 190
]
Calculating this:
[
\text{Part} = 0.05 \times 190 = 9.5
]
Thus, 5% of 190 is 9.5.
Explanation of the Calculation
Understanding how to calculate percentages is a fundamental math skill that is applicable in various real-world situations, such as budgeting, sales, and data analysis. A percentage represents a fraction out of 100. So, when you want to determine a percentage of a number, you can convert that percentage into a decimal and then multiply it by the number in question.
In this example, we determined that 5% can be expressed as a decimal by dividing 5 by 100, which gives us 0.05. We then multiplied this decimal by 190. This approach is consistent across all percentage calculations, making it a reliable method for determining any percentage of a whole.
Another way to visualize this is to think of 5% as 5 parts out of 100. If you imagine dividing 190 into 100 equal parts, each part would represent 1.9 (since (190 \div 100 = 1.9)). Therefore, 5 parts of this would be (5 \times 1.9 = 9.5), reinforcing our previous calculation.
In summary, calculating a percentage involves straightforward arithmetic, and mastering this technique can enhance your numerical fluency, allowing you to handle financial, academic, or personal calculations with confidence.