Which of the following measurements has three significant figures?
In the realm of scientific notation and numerical precision, determining the number of significant figures in a measurement is crucial for accuracy and clarity. Significant figures represent the digits in a number that are known with certainty, plus one estimated digit. This concept is fundamental in various scientific disciplines, including physics, chemistry, and engineering. In this article, we will explore the significance of significant figures and identify which of the following measurements has three significant figures.
The importance of significant figures lies in their ability to convey the precision of a measurement. When reporting experimental results, scientists and engineers must adhere to a specific number of significant figures to ensure that the data is presented accurately. The following are some key points to consider when determining the number of significant figures in a measurement:
1. All non-zero digits are significant.
2. Leading zeros (zeros before the first non-zero digit) are not significant.
3. Trailing zeros (zeros after the last non-zero digit) are significant if they are after a decimal point.
4. Zeros between non-zero digits are always significant.
Now, let’s examine the given measurements and identify which one has three significant figures:
A) 0.0045 kg
B) 2.345 m
C) 123.0 mL
D) 5.000 kg
To determine the number of significant figures in each measurement, we will apply the rules mentioned earlier:
A) 0.0045 kg: The leading zeros are not significant, and the remaining digits are all significant. Therefore, this measurement has two significant figures.
B) 2.345 m: All non-zero digits are significant, and there are no leading or trailing zeros. Thus, this measurement has four significant figures.
C) 123.0 mL: The trailing zero is significant because it is after the decimal point. The leading zeros are not significant. Therefore, this measurement has four significant figures.
D) 5.000 kg: All non-zero digits are significant, and the trailing zeros are also significant. Hence, this measurement has five significant figures.
Based on the analysis, none of the given measurements has three significant figures. However, it is essential to note that the concept of significant figures can vary depending on the context and the specific requirements of a particular field. In some cases, a measurement with three significant figures may be considered sufficient, while in others, a higher level of precision may be necessary.
