Math Problem Statement
Solution
To solve this problem:
Let the correct operation be multiplying by 10. The correct result is:
However, the number is mistakenly divided by 10. So the incorrect result is:
Now, we need to find the percentage error. The percentage error is given by the formula:
Substituting the values:
First, simplify the numerator:
Now, substitute this back into the formula:
Thus, the percentage error is 99%.
Would you like further clarification or details on this calculation?
Here are some related questions you might explore:
- How is percentage error calculated in other contexts?
- What if the error was multiplying by 10 instead of dividing by 10?
- How would the error change if the number were divided by another factor, like 5 instead of 10?
- Can this type of error analysis apply to scientific measurements?
- How can this concept of error be applied in real-world scenarios involving miscalculations?
Tip: Always check the operation performed against what was intended to avoid calculation errors like this one.
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentage Error
Division
Multiplication
Formulas
Percentage Error = ((Correct Result - Incorrect Result) / Correct Result) × 100
Theorems
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Suitable Grade Level
Grades 9-12
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