The operation of decreasing a number by a certain percentage is a fundamental concept in mathematics, often used in various real-world applications such as finance, science, and engineering. To decrease 24 by 75%, we first need to understand what decreasing by a percentage means. When you decrease a number by a certain percentage, you are finding a percentage of that number and then subtracting it from the original number.
Calculating the Decrease
To decrease 24 by 75%, we follow these steps:
- Calculate 75% of 24. This involves multiplying 24 by 0.75 (since 75% is the same as 75⁄100 or 0.75).
- Subtract the result from step 1 from the original number, 24.
Mathematically, this can be represented as: 24 - (24 * 0.75).
Performing the Calculation
First, calculate 75% of 24: 24 * 0.75 = 18. Then, subtract this result from 24: 24 - 18 = 6.
Therefore, 24 decreased by 75% equals 6. This result can be interpreted in various contexts. For instance, if you had 24 units of something and they decreased by 75%, you would be left with 6 units.
| Original Value | Percentage Decrease | Result |
|---|---|---|
| 24 | 75% | 6 |
Applications and Implications
The concept of decreasing a number by a percentage has numerous practical applications. In finance, it could represent a reduction in stock value, a discount on a purchase, or a decrease in income. In science, it might be used to describe the reduction in the size of a population or the concentration of a chemical solution.
Real-World Examples
For example, a store might offer a 75% discount on all items during a clearance sale. If a shirt originally costs 24, applying the discount would mean calculating 75% of 24 and subtracting that from the original price, resulting in a sale price of $6.
In environmental science, if a conservation effort aims to reduce pollution by 75%, starting with 24 tons of waste, the goal would be to decrease it to 6 tons, a significant reduction that could have positive impacts on the environment.
What does decreasing a number by a percentage mean?
+Decreasing a number by a percentage involves calculating that percentage of the number and then subtracting it from the original number. For example, decreasing 24 by 75% means finding 75% of 24 and subtracting that value from 24.
How is the decrease calculated?
+The decrease is calculated by first finding the percentage of the original number (in this case, 75% of 24) and then subtracting that result from the original number (24 - (24 * 0.75)).
In conclusion, the operation of decreasing 24 by 75% is a straightforward mathematical process that results in a value of 6. This type of calculation has broad applications across various fields, from finance and commerce to science and environmental studies, highlighting the importance of understanding percentages and their practical uses.
