What is the percent of change from 10 to 8?
The Correct Answer and Explanation is :
To calculate the percent change from 10 to 8, you can use the following formula:
[
\text{Percent Change} = \left( \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \right) \times 100
]
Step-by-Step Calculation
- Identify the Old and New Values:
- Old Value = 10
- New Value = 8
- Subtract the Old Value from the New Value:
- (8 – 10 = -2)
- Divide the Result by the Old Value:
- (-2 \div 10 = -0.2)
- Multiply by 100 to Convert to a Percentage:
- (-0.2 \times 100 = -20\%)
Conclusion
The percent change from 10 to 8 is (-20\%). This indicates a decrease of 20%.
Explanation of Percent Change
Percent change is a mathematical concept used to quantify the degree of change over time or between two values. It provides a clear and standardized way to compare values in different contexts. In this case, moving from 10 to 8 represents a decrease, which is essential to understand in various applications, such as finance, science, and everyday decision-making.
The negative sign in the percent change calculation indicates a reduction, which is important information for interpreting the results. Percent changes are particularly useful when assessing performance, sales, investments, or other metrics where growth or decline is significant.
Understanding percent change also helps in making informed decisions, as it allows individuals and organizations to track progress, assess effectiveness, and strategize for the future. For example, a business might analyze percent changes in sales figures to adjust marketing strategies or production plans.
In summary, calculating the percent change provides insight into how much a value has increased or decreased relative to its original value, enabling better analysis and informed decision-making.