significant figure

简明释义

有效数字

英英释义

例句

1.When measuring the length of a table, it is important to report the result with the correct number of significant figures.

在测量桌子的长度时，报告结果时使用正确的有效数字是很重要的。

2.The final answer in your math problem should reflect the appropriate significant figures based on the values used.

数学问题的最终答案应根据所用值反映适当的有效数字。

3.In scientific research, calculations must be performed with attention to significant figures to ensure accuracy.

在科学研究中，计算必须关注有效数字以确保准确性。

4.Rounding off to the correct significant figures can change the outcome of your calculations.

四舍五入到正确的有效数字可能会改变你的计算结果。

5.Chemists often need to consider significant figures when reporting concentrations of solutions.

化学家在报告溶液浓度时经常需要考虑有效数字。

作文

In the realm of mathematics and science, precision is paramount. One of the fundamental concepts that help maintain this precision is the idea of significant figure. A significant figure refers to the digits in a number that contribute to its accuracy. This includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion. Understanding significant figures is essential for anyone working with measurements, calculations, or data analysis, as it ensures that results are not misleading due to over- or under-representation of numerical values.For instance, consider a measurement of 0.00456 meters. In this case, the significant figures are 4, 5, and 6, totaling three significant figures. The leading zeros do not count as they merely indicate the position of the decimal point. On the other hand, if we have a measurement like 100.0 grams, this has four significant figures because the trailing zero after the decimal point is significant in indicating the precision of the measurement.The rules governing significant figures are crucial when performing mathematical operations. For addition and subtraction, the result should be reported with the same number of decimal places as the measurement with the least decimal places. For example, if we add 12.11 (two decimal places) and 0.3 (one decimal place), the sum should be reported as 12.41, rounded to one decimal place, resulting in 12.4. In contrast, when multiplying or dividing numbers, the result should have the same number of significant figures as the measurement with the least significant figures. So, if we multiply 4.56 (three significant figures) by 1.4 (two significant figures), the answer should be reported as 6.4, rounded to two significant figures.Ignoring significant figures can lead to inaccuracies in scientific reporting and data interpretation. For example, if a scientist records a temperature of 25.7 degrees Celsius but later reports it as 26 degrees without considering significant figures, the precision of the original measurement is lost. This could lead to misunderstandings or misinterpretations of the data, especially in fields where small changes can have significant implications, such as pharmacology or engineering.Moreover, the concept of significant figures extends beyond mere calculations; it also influences how we communicate our findings. When presenting data, researchers must be mindful of their significant figures to accurately convey the reliability and precision of their results. This careful attention to detail not only enhances the credibility of the research but also fosters trust among peers and the public.In conclusion, mastering the concept of significant figures is essential for anyone involved in scientific or mathematical endeavors. It ensures that the integrity of measurements is maintained and that results are communicated clearly and accurately. By adhering to the rules of significant figures, we can enhance our understanding of data and contribute to the advancement of knowledge in various fields. Therefore, whether you are a student, a researcher, or simply someone who enjoys working with numbers, embracing the importance of significant figures will undoubtedly improve your analytical skills and the quality of your work.

在数学和科学领域，精确性至关重要。帮助保持这种精确性的基本概念之一就是有效数字的概念。有效数字是指一个数字中对其准确性有贡献的数字。这包括所有非零数字、任何位于有效数字之间的零以及小数部分中的任何尾随零。理解有效数字对于任何从事测量、计算或数据分析的人来说都是必不可少的，因为它确保结果不会因数字值的过度或不足表示而产生误导。例如，考虑一个0.00456米的测量。在这种情况下，有效数字是4、5和6，总共有三个有效数字。前导零不算，因为它们仅表示小数点的位置。另一方面，如果我们有一个测量值为100.0克，这个测量有四个有效数字，因为小数点后面的尾随零在表示测量的精度方面是重要的。关于有效数字的规则在进行数学运算时至关重要。对于加法和减法，结果应报告为与最少小数位数的测量相同的小数位数。例如，如果我们将12.11（两位小数）和0.3（一位小数）相加，和应报告为12.41，四舍五入到一位小数，结果为12.4。相反，当乘法或除法时，结果应具有与最少有效数字的测量相同数量的有效数字。因此，如果我们将4.56（三个有效数字）乘以1.4（两个有效数字），答案应报告为6.4，四舍五入到两个有效数字。忽视有效数字可能会导致科学报告和数据解释中的不准确。例如，如果一位科学家记录的温度为25.7摄氏度，但后来在没有考虑有效数字的情况下将其报告为26度，则原始测量的精度将丧失。这可能导致对数据的误解或误读，特别是在微小变化可能具有重大影响的领域，如药理学或工程学。此外，有效数字的概念不仅限于简单的计算；它还影响我们如何传达我们的发现。当呈现数据时，研究人员必须注意他们的有效数字以准确传达结果的可靠性和精度。这种对细节的仔细关注不仅增强了研究的可信度，也在同行和公众之间建立了信任。总之，掌握有效数字的概念对于任何参与科学或数学工作的人来说都是必不可少的。它确保测量的完整性得以维持，并且结果能够清晰准确地传达。通过遵循有效数字的规则，我们可以增强对数据的理解，并为各个领域的知识进步做出贡献。因此，无论你是学生、研究人员，还是简单喜欢处理数字的人，拥抱有效数字的重要性无疑会提升你的分析能力和工作的质量。