divide out

简明释义

约去

英英释义

例句

1.In this math problem, you should divide out the coefficients before solving for x.

在这个数学问题中，你应该在解x之前约去系数。

2.To simplify the equation, we need to divide out the common factor from both sides.

为了简化方程，我们需要约去两边的公因子。

3.When calculating the area, we can divide out the units to make it easier.

在计算面积时，我们可以约去单位以便更简单。

4.You can divide out the common terms in the polynomial to factor it more easily.

你可以约去多项式中的公因子，以便更容易地进行因式分解。

5.It's important to divide out any common factors before performing long division.

在进行长除法之前，重要的是要约去任何公因子。

作文

In mathematics, the concept of division is fundamental. When we talk about dividing numbers, we often think about how one number can be split into equal parts. However, there is a more specific operation that involves taking a number and removing a factor from it, which can be referred to as divide out. This term means to eliminate a common factor from both the numerator and the denominator in a fraction. For instance, if we have the fraction 8/12, we can divide out the common factor of 4, simplifying it to 2/3. This process not only makes calculations easier but also helps us understand the relationships between numbers better.The importance of divide out extends beyond simple arithmetic. In algebra, when we encounter expressions that can be simplified, recognizing factors that can be divided out is crucial for solving equations efficiently. For example, consider the expression (x^2 - 4)/(x + 2). We notice that x^2 - 4 can be factored into (x - 2)(x + 2). Thus, we can divide out the (x + 2) term, leading us to a simpler expression of (x - 2). This technique is incredibly useful, especially when dealing with limits and continuous functions in calculus.Moreover, the idea of divide out can be applied in real-life scenarios, particularly in problem-solving. When faced with complex issues, breaking them down into manageable parts and eliminating unnecessary components can lead to clearer solutions. For instance, if a project involves multiple tasks, one might identify overlapping responsibilities among team members and divide out those redundancies. By doing so, the team can work more efficiently, focusing on their unique contributions without duplicating efforts.In education, teaching students the concept of divide out is vital. It encourages critical thinking and analytical skills. Students learn to look for patterns and relationships within numbers, which can enhance their overall mathematical understanding. Additionally, this skill can translate to other subjects, such as science and economics, where simplifying complex data is often necessary.In conclusion, the term divide out encapsulates a powerful mathematical operation that simplifies fractions and expressions, making them easier to work with. Beyond its mathematical implications, the ability to divide out common factors serves as a metaphor for problem-solving in various aspects of life. By learning to identify and eliminate unnecessary complexities, whether in math or daily challenges, we can approach problems with greater clarity and efficiency. Understanding and mastering the concept of divide out equips us with valuable tools for both academic success and practical application in our lives.

在数学中，除法的概念是基础。当我们谈论数字的除法时，我们通常会想到一个数字如何被分成相等的部分。然而，还有一种更具体的运算涉及将一个数字从中去掉一个因子，这可以称为divide out。这个术语意味着从分数的分子和分母中消除一个公共因子。例如，如果我们有分数8/12，我们可以divide out公共因子4，将其简化为2/3。这个过程不仅使计算变得更简单，而且还帮助我们更好地理解数字之间的关系。divide out的重要性超出了简单的算术。在代数中，当我们遇到可以简化的表达式时，识别可以divide out的因子对于有效地解决方程至关重要。例如，考虑表达式(x^2 - 4)/(x + 2)。我们注意到x^2 - 4可以因式分解为(x - 2)(x + 2)。因此，我们可以divide out(x + 2)项，从而得到更简单的表达式(x - 2)。这个技巧在处理极限和微积分中的连续函数时非常有用。此外，divide out的概念可以应用于现实生活中的场景，特别是在问题解决中。当面临复杂问题时，将其分解为可管理的部分并消除不必要的组成部分可以导致更清晰的解决方案。例如，如果一个项目涉及多个任务，人们可能会识别团队成员之间的重叠职责，并divide out这些冗余。通过这样做，团队可以更高效地工作，专注于各自的贡献，而不必重复努力。在教育中，教学生divide out的概念至关重要。这鼓励批判性思维和分析能力。学生学习寻找数字中的模式和关系，这可以增强他们整体的数学理解。此外，这项技能可以转移到其他学科，如科学和经济学，在这些学科中，简化复杂数据通常是必要的。总之，术语divide out概括了一种强大的数学运算，它简化了分数和表达式，使其更易于处理。超越数学含义，识别和消除不必要的复杂性的能力divide out在生活的各个方面都是解决问题的隐喻。通过学习识别和消除不必要的复杂性，无论是在数学还是日常挑战中，我们都可以以更清晰和高效的方式应对问题。理解和掌握divide out的概念为我们提供了在学术成功和实际应用中宝贵的工具。