absolute value

简明释义

绝对值

英英释义

例句

1.Calculating the absolute value is essential in solving equations.

计算绝对值在解方程时是必不可少的。

2.The absolute value of 3.14 is 3.14.

3.14的绝对值是3.14。

3.In mathematics, the absolute value represents the distance from zero.

在数学中，绝对值表示与零的距离。

4.To find the absolute value of a number, ignore its sign.

要找到一个数字的绝对值，忽略它的符号。

5.The absolute value of -5 is 5.

负数-5的绝对值是5。

作文

The concept of absolute value is fundamental in mathematics, particularly in the study of real numbers. The absolute value of a number is defined as its distance from zero on the number line, regardless of the direction. This means that both positive and negative numbers have the same absolute value. For instance, the absolute value of -5 is 5, and the absolute value of 5 is also 5. This property makes the absolute value an essential tool for comparing numbers and understanding their magnitudes without regard to their signs.Understanding the absolute value can also be applied in various real-life situations. For example, when measuring temperature, we often use the absolute value to determine how far a temperature is from freezing point (0 degrees Celsius). Whether the temperature is -10 degrees or +10 degrees, the absolute value indicates that it is 10 degrees away from freezing. This application shows how the absolute value helps us comprehend differences in a more intuitive way.In algebra, the absolute value function is often used to solve equations. For example, if we want to solve the equation |x| = 3, we must consider both possible scenarios: x = 3 and x = -3. This duality illustrates how the absolute value allows us to capture both positive and negative solutions to problems, which is particularly useful in various fields such as physics and engineering.Moreover, the absolute value plays a significant role in calculus, especially when dealing with limits and continuity. When evaluating limits that approach a value from different directions, the absolute value can help us understand the behavior of functions near points of interest. For instance, if we encounter a function that behaves differently as it approaches a certain x-value from the left versus from the right, the absolute value can help us analyze those behaviors more clearly.Additionally, the absolute value is crucial in statistics. In measures like variance and standard deviation, we often use the absolute value to quantify deviations from the mean. By focusing on the absolute value of differences, we ensure that our calculations reflect the actual spread of data without being skewed by negative values.In conclusion, the absolute value is not merely a mathematical abstraction; it has practical applications across various domains. From helping us understand temperatures to solving equations and analyzing data, the absolute value serves as a powerful concept that enhances our comprehension of numerical relationships. Embracing the absolute value in our mathematical journey enables us to tackle complex problems with greater confidence and clarity. As we continue to explore the vast world of mathematics, recognizing the importance of the absolute value will undoubtedly enrich our understanding and appreciation of this discipline.

绝对值的概念在数学中是基础，特别是在实数的研究中。一个数字的绝对值被定义为它在数轴上离零的距离，无论方向如何。这意味着正数和负数具有相同的绝对值。例如，-5的绝对值是5，而5的绝对值也是5。这一特性使得绝对值成为比较数字和理解其大小的重要工具，而不考虑其符号。理解绝对值也可以应用于各种现实生活中的情况。例如，在测量温度时，我们经常使用绝对值来确定温度与冰点（0摄氏度）之间的差距。无论温度是-10度还是+10度，绝对值表明它离冰点有10度。这一应用展示了绝对值如何帮助我们以更直观的方式理解差异。在代数中，绝对值函数通常用于求解方程。例如，如果我们想解方程|x| = 3，我们必须考虑两种可能的情况：x = 3和x = -3。这种二元性说明了绝对值如何使我们能够捕捉到问题的正负解，这在物理和工程等多个领域中尤为有用。此外，绝对值在微积分中也扮演着重要角色，特别是在处理极限和连续性时。当评估从不同方向接近某个值的极限时，绝对值可以帮助我们理解函数在感兴趣点附近的行为。例如，如果我们遇到一个在从左侧和右侧接近某个x值时表现不同的函数，绝对值可以帮助我们更清晰地分析这些行为。另外，绝对值在统计学中也至关重要。在方差和标准差等度量中，我们经常使用绝对值来量化与均值的偏差。通过关注差异的绝对值，我们确保我们的计算反映数据的实际分布，而不被负值所扭曲。总之，绝对值不仅仅是一个数学抽象；它在各个领域都有实际应用。从帮助我们理解温度到求解方程和分析数据，绝对值作为一个强大的概念，增强了我们对数字关系的理解。接受绝对值在我们的数学旅程中，使我们能够更自信、清晰地解决复杂问题。当我们继续探索广阔的数学世界时，认识到绝对值的重要性无疑会丰富我们对这一学科的理解和欣赏。