Identifying the Number with Three Significant Figures Among the Given Options
Which of the following measured numbers has three significant figures?
In the realm of scientific measurements and calculations, determining the number of significant figures is crucial for accuracy and precision. Significant figures represent the digits in a number that carry meaning and contribute to its precision. In this article, we will explore which of the following measured numbers has three significant figures and discuss the importance of significant figures in scientific calculations.
The significance of significant figures lies in their ability to convey the level of precision in a measurement. A number with more significant figures indicates a higher degree of accuracy. For instance, the number 123.45 has five significant figures, whereas the number 123 has three significant figures. The distinction between these two numbers is essential when performing calculations and interpreting experimental results.
Let’s examine the following measured numbers and determine which one has three significant figures:
1. 0.00456
2. 45.6
3. 0.0456
4. 4.56
To identify the number with three significant figures, we need to understand the rules for determining significant figures. Here are the guidelines:
1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point.
Now, let’s apply these rules to the given numbers:
1. 0.00456: The first non-zero digit is 4, so the number has four significant figures.
2. 45.6: The number has three non-zero digits, so it has three significant figures.
3. 0.0456: The first non-zero digit is 4, so the number has four significant figures.
4. 4.56: The number has three non-zero digits, so it has three significant figures.
Based on the rules for determining significant figures, both numbers 45.6 and 4.56 have three significant figures. Therefore, the correct answer to the question “Which of the following measured numbers has three significant figures?” is both 45.6 and 4.56.
Understanding the concept of significant figures is essential in scientific research and calculations. By recognizing the significance of each digit, researchers and scientists can ensure the accuracy and reliability of their measurements and results.
