Calculate 4% of 7000.
The Correct Answer and Explanation is :
To calculate 4% of 7000, follow these steps:
[
\text{4% of 7000} = \frac{4}{100} \times 7000
]
[
= 0.04 \times 7000
]
[
= 280
]
So, 4% of 7000 is 280.
Explanation:
Percentages are a way to express ratios as parts of 100. When you see “4% of 7000,” it means you’re looking for 4 parts out of 100 for the number 7000. This is done by multiplying 7000 by the percentage in its decimal form.
- Convert the percentage to a decimal: To convert a percentage to a decimal, divide the percentage by 100. So, 4% becomes 0.04.
- Multiply: Multiply the decimal value (0.04) by 7000:
[
0.04 \times 7000 = 280
]
This gives you the actual value that represents 4% of 7000.
Why This Works:
Percentages are useful for comparing quantities in a standardized way. Since 100% means “the whole,” percentages help break a total into smaller, proportional parts. When calculating a percentage of a number, you’re essentially scaling that number down to the fraction represented by the percentage.
For instance, if you wanted to find out how much of 7000 is 4%, you’re asking for the portion of 7000 that corresponds to 4 parts out of 100. The method works universally for any number, not just 7000, making percentage calculations a very practical tool in various fields like finance, healthcare, and statistics.