compute the error made when using this estimate

To compute the error made when using an estimate, you typically need two pieces of information:

1. **Estimated Value (E):** The value that has been estimated.
2. **True Value (T):** The actual or known value.

The error can be computed in different forms, depending on what is required:

### 1. **Absolute Error:**
   \[
   \text{Absolute Error} = |T - E|
   \]
   This gives the magnitude of the difference between the true value and the estimated value.

### 2. **Relative Error:**
   \[
   \text{Relative Error} = \frac{|T - E|}{|T|}
   \]
   This measures the size of the absolute error relative to the true value, often expressed as a percentage:
   \[
   \text{Relative Error Percentage} = \left( \frac{|T - E|}{|T|} \right) \times 100
   \]

### 3. **Percentage Error:**
   \[
   \text{Percentage Error} = \left( \frac{|T - E|}{|T|} \right) \times 100
   \]
   Similar to relative error but always expressed as a percentage.

If you provide the estimated value and the true value, I can compute the error for you.

Would you like to go into details on one of these types of errors? Let me know if you have any specific values for me to compute the error for, or if you need further explanation!

### Related Questions:
1. How do you calculate the absolute error when only an approximation is given?
2. What is the difference between absolute error and relative error?
3. How does percentage error help in understanding the accuracy of an estimate?
4. In which situations is it more useful to use relative error instead of absolute error?
5. What are some real-world examples where calculating error is essential?

**Tip:** Always specify whether you need an absolute, relative, or percentage error, as each serves a different purpose in mathematical analysis.

Learn how to compute the error made when using an estimate with detailed explanations of absolute error, relative error, and percentage error. This problem covers fundamental concepts in error analysis, suitable for students in Grades 9-12.

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