significant digit

简明释义

存效数

英英释义

例句

1.The result of your calculation should always be reported with the correct number of significant digits (有效数字).

你的计算结果应始终以正确的数量的有效数字报告。

2.A measurement of 0.00456 has three significant digits (有效数字).

0.00456的测量有三个有效数字。

3.When measuring length, the ruler's smallest division determines the number of significant digits (有效数字) you can report.

在测量长度时，尺子的最小分度决定了你可以报告的有效数字。

4.In scientific notation, the number 3.0 has two significant digits (有效数字).

在科学记数法中，数字3.0有两个有效数字。

5.In chemistry, when calculating molarity, it's important to consider significant digits (有效数字) for accuracy.

在化学中，计算摩尔浓度时，考虑有效数字是非常重要的，以确保准确性。

作文

In the world of mathematics and science, precision is paramount. One of the key concepts that help ensure accuracy in calculations is the idea of significant digit. The term significant digit refers to the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion. Understanding significant digits is essential for anyone working with numerical data, as it affects how we report and interpret measurements.For instance, consider the measurement of a length that is reported as 5.30 meters. In this case, the number has three significant digits: 5, 3, and the trailing zero. The trailing zero is crucial because it indicates that the measurement is precise to the hundredths place. If the measurement were simply reported as 5.3 meters, it would only have two significant digits, suggesting a lower level of precision. Therefore, recognizing the importance of significant digits helps communicate the reliability of measurements.In scientific research, the use of significant digits becomes even more critical. When scientists conduct experiments, they often deal with measurements that can vary due to a multitude of factors. For example, if a researcher measures the concentration of a solution and reports it as 0.0450 moles per liter, they are indicating that the measurement has three significant digits. This implies a high degree of confidence in the accuracy of the measurement. Conversely, if they reported it as 0.045 moles per liter, it would suggest less certainty about the precision of the measurement, as it only has two significant digits.Moreover, when performing calculations with numbers that have different numbers of significant digits, one must be careful to maintain the correct level of precision throughout the process. For instance, when adding or subtracting numbers, the result should be reported to the least number of decimal places present in the original numbers. This rule ensures that the final answer does not imply a greater degree of accuracy than what the least precise measurement provides. Similarly, when multiplying or dividing, the result should be reported with the same number of significant digits as the measurement with the fewest significant digits.In conclusion, the concept of significant digits plays a vital role in ensuring accuracy and clarity in numerical data. Whether in mathematics, science, or everyday life, understanding how to identify and use significant digits correctly is essential for effective communication of information. It helps to avoid misunderstandings and ensures that the precision of measurements is conveyed accurately. As we continue to rely on numerical data in various fields, mastering the use of significant digits will remain an important skill for students, professionals, and researchers alike.

在数学和科学的世界中，精确性至关重要。确保计算准确性的关键概念之一是有效数字的概念。术语有效数字指的是一个数字中对其精度有贡献的数字。这包括所有非零数字、任何位于有效数字之间的零，以及小数部分中的尾随零。理解有效数字对于任何处理数值数据的人来说都是必不可少的，因为它影响我们如何报告和解释测量结果。例如，考虑一下长度测量，报告为5.30米。在这种情况下，该数字有三个有效数字：5、3和尾随零。尾随零至关重要，因为它表明测量精确到百分位。如果测量仅报告为5.3米，则只有两个有效数字，这表明精度较低。因此，认识到有效数字的重要性有助于传达测量的可靠性。在科学研究中，使用有效数字变得更加关键。当科学家进行实验时，他们通常会处理由于多种因素而可能变化的测量。例如，如果研究人员测量溶液的浓度并将其报告为0.0450摩尔/升，他们表明该测量具有三个有效数字。这意味着对测量的准确性有高度信心。相反，如果他们报告为0.045摩尔/升，这将暗示对测量精度的信心较低，因为它只有两个有效数字。此外，在进行具有不同数量有效数字的数字计算时，必须小心保持整个过程中的正确精度水平。例如，在加法或减法运算中，结果应报告为原始数字中存在的最少小数位数。这条规则确保最终答案不会暗示比最不精确的测量提供的更高的准确度。类似地，在乘法或除法时，结果应报告为与最少有效数字的测量相同数量的有效数字。总之，有效数字的概念在确保数值数据的准确性和清晰性方面发挥着至关重要的作用。无论是在数学、科学还是日常生活中，理解如何正确识别和使用有效数字都是有效传达信息的基本技能。它有助于避免误解，并确保测量的精度得到准确传达。随着我们继续在各个领域依赖数值数据，掌握使用有效数字的技巧将始终是学生、专业人士和研究人员的重要技能。