significant figure; significant digits

简明释义

有效数字

英英释义

例句

1.A common mistake in math is to ignore significant figures 有效数字 when performing operations.

数学中的一个常见错误是在进行运算时忽略有效数字 有效数字。

2.The result of your experiment should reflect the significant figures 有效数字 that were used in your measurements.

您的实验结果应反映出您在测量中使用的有效数字 有效数字。

3.Chemistry problems often require answers to be rounded to the correct significant digits 有效数字.

化学问题通常要求答案四舍五入到正确的有效数字 有效数字。

4.When measuring length, you should always consider the significant digits 有效数字 based on your measuring tool's precision.

在测量长度时，您应根据测量工具的精度始终考虑有效数字 有效数字。

5.In scientific calculations, it's important to report your answer with the correct number of significant figures 有效数字.

在科学计算中，报告正确数量的有效数字 有效数字是很重要的。

作文

In the realm of mathematics and science, precision is paramount. When we measure quantities, the accuracy of our results can significantly impact our conclusions. This is where the concept of significant figures (或称为有效数字) comes into play. Understanding how to use significant digits (或称为有效数字) is essential for anyone engaged in scientific work or fields that require quantitative analysis.To begin with, significant figures refer to the digits in a number that contribute to its accuracy. This includes all non-zero digits, any zeros between significant digits, and trailing zeros only when they are to the right of a decimal point. For instance, in the number 0.00456, there are three significant digits: 4, 5, and 6. The leading zeros do not count because they merely indicate the position of the decimal point.The importance of significant figures cannot be overstated. They provide a way to express the precision of measurements. For example, if a scientist measures the length of an object as 12.50 cm, it suggests a higher level of precision than simply stating it as 13 cm. The presence of the two trailing zeros indicates that the measurement was taken with care and that the value is accurate to the hundredths place. In contrast, reporting a measurement with fewer significant digits might lead to misunderstandings or miscalculations in further analysis.Moreover, when performing mathematical operations, the rules governing significant figures must be adhered to in order to maintain the integrity of the results. For addition and subtraction, the result should be reported with the same number of decimal places as the measurement with the least number of decimal places. For instance, if we add 12.11 (two decimal places) and 0.3 (one decimal place), the sum should be reported as 12.4, since it has one decimal place, which is consistent with the least precise measurement.In multiplication and division, the rule is slightly different. Here, the result should have the same number of significant digits as the measurement with the fewest significant figures. For example, if we multiply 4.56 (three significant figures) by 1.4 (two significant figures), the product should be reported as 6.4, which has two significant digits.Understanding significant figures is not merely an academic exercise; it has real-world implications. Engineers, chemists, and physicists rely on precise measurements to ensure safety and efficacy in their work. A small error in the number of significant digits can lead to flawed designs, unsafe products, or incorrect scientific conclusions. Therefore, mastering the concept of significant figures is crucial for anyone involved in technical fields.In conclusion, the concept of significant figures (或称为有效数字) is fundamental in the accurate representation of numerical data. It helps convey the precision of measurements and ensures that calculations maintain the integrity of the data. By adhering to the rules of significant digits (或称为有效数字), professionals can communicate their findings effectively and avoid potential errors in their work. As we continue to rely on quantitative analysis in various fields, the importance of significant figures will only grow, making it an essential skill for future generations of scientists and engineers.

在数学和科学领域，精确性至关重要。当我们测量数量时，结果的准确性会对我们的结论产生重大影响。这就是有效数字（或称为significant figures）这一概念的重要性所在。理解如何使用有效数字（或称为significant digits）对于任何从事科学工作或需要定量分析的领域的人来说都是必不可少的。首先，有效数字指的是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、位于有效数字之间的零，以及仅在小数点右侧的尾随零。例如，在数字0.00456中，有三个有效数字：4、5和6。前导零不计入，因为它们仅指示小数点的位置。有效数字的重要性不容小觑。它们提供了一种表达测量精度的方法。例如，如果科学家测量一个物体的长度为12.50厘米，这表明比仅仅报告为13厘米具有更高的精度。两个尾随零的存在表明该测量是经过仔细进行的，并且该值在百分位上是准确的。相反，以较少的有效数字报告测量值可能会导致误解或后续分析中的错误计算。此外，在进行数学运算时，必须遵循关于有效数字的规则，以保持结果的完整性。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，则总和应报告为12.4，因为它具有一位小数，与最不精确的测量一致。在乘法和除法中，规则略有不同。在这里，结果应具有与最少有效数字的测量相同的有效数字数量。例如，如果我们将4.56（三个有效数字）乘以1.4（两个有效数字），则乘积应报告为6.4，具有两个有效数字。理解有效数字不仅仅是学术练习；它具有现实世界的意义。工程师、化学家和物理学家依赖精确的测量来确保他们工作的安全性和有效性。在有效数字的数量上出现小错误可能导致设计缺陷、不安全的产品或不正确的科学结论。因此，掌握有效数字的概念对于任何从事技术领域的人来说至关重要。总之，有效数字（或称为significant figures）的概念在准确表示数值数据中是基础性的。它帮助传达测量的精度，并确保计算保持数据的完整性。通过遵循有效数字（或称为significant digits）的规则，专业人士可以有效地沟通他们的发现，避免潜在的工作错误。随着我们继续在各个领域依赖定量分析，有效数字的重要性只会增加，使其成为未来科学家和工程师的基本技能。