Math Problem Statement

Which of the following measurements has the least accuracy? A: 0.084 g B: 23.0 g C: 6.19 g D: 14.275 g E: 0.9028 g

Solution

To answer this question, we need to assess the accuracy of the measurements by considering the number of significant digits.

Here are the options:

A: 0.084 g – 2 significant digits
B: 23.0 g – 3 significant digits
C: 6.19 g – 3 significant digits
D: 14.275 g – 5 significant digits
E: 0.9028 g – 4 significant digits

The measurement with the least accuracy will have the fewest significant digits. In this case, Option A (0.084 g) has the least accuracy because it has only 2 significant digits, compared to the others with more significant digits.

Would you like further details on significant figures or how to interpret them? Here are some related questions you can explore:

  1. How are significant digits used to determine the precision of a measurement?
  2. What are the rules for rounding measurements when dealing with significant digits?
  3. How do you calculate the uncertainty in a measurement based on significant digits?
  4. What is the relationship between significant figures and the concept of precision in scientific measurements?
  5. Can a measurement with more significant digits always be considered more accurate?

Tip: Always focus on the precision of the measurement (number of decimal places) when determining the accuracy of an instrument or process!

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Math Problem Analysis

Mathematical Concepts

Significant Digits
Accuracy
Precision

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9