Question

\5 ×10⁻³ = -5000\ is an example of ________.

○ poor estimation

○ inappropriate scientific notation comparison

○ inappropriate comparison

○ improper experimental design

Explanation:

Let's analyze each option:

• Poor estimation: Estimation is about approximating a value. Here, it's a wrong calculation, not just a rough estimate issue.
• Inappropriate scientific notation comparison: There is no scientific notation comparison context here. The error is a basic calculation error.
• Inappropriate comparison: There is no comparison made in the given expression. It's a simple arithmetic - exponentiation error.
• The error in \(5\times10^{- 3}=-5000\):
• We know that \(a^{-n}=\frac{1}{a^{n}}\). So, \(5\times10^{-3}=5\times\frac{1}{10^{3}}=\frac{5}{1000}=0.005\). The given result \(-5000\) is a wrong calculation, which is a case of poor estimation (as the person made a very wrong calculation, likely a wrong handling of the exponent sign and magnitude).

Answer:

poor estimation