Find the percent change from 96 to 93. State whether it is an increase or decrease.
Understand the Problem
The question is asking to calculate the percent change from 96 to 93, and to indicate whether this change is an increase or a decrease.
Answer
The percent change is $3.125\%$ and it's a decrease.
Answer for screen readers
The percent change from 96 to 93 is $3.125%$, and it is a decrease.
Steps to Solve
-
Identify the original and new values
The original value is 96, and the new value is 93. -
Calculate the change in value
Subtract the new value from the original value to find the change:
$$ \text{Change} = \text{Original} - \text{New} = 96 - 93 = 3 $$ -
Calculate the percent change
To find the percent change, use the formula:
$$ \text{Percent Change} = \left( \frac{\text{Change}}{\text{Original}} \right) \times 100 $$
Substituting the values:
$$ \text{Percent Change} = \left( \frac{3}{96} \right) \times 100 $$ -
Perform the calculation
Calculate the fraction and then multiply by 100:
$$ \text{Percent Change} = 0.03125 \times 100 = 3.125 $$ -
Determine if it’s an increase or decrease
Since the original value (96) is greater than the new value (93), this change is a decrease.
The percent change from 96 to 93 is $3.125%$, and it is a decrease.
More Information
Percent change is a useful way to express how much a value has increased or decreased in comparison to its original value. A decrease indicates a drop in the value, which is common in various scenarios such as sales, grades, or population statistics.
Tips
- Confusing the original and new values. Make sure to always subtract the new value from the original.
- Forgetting to multiply by 100 when converting to a percentage.
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