1.1 导言:实际数字和代数表达式
Section outline
-
The word "algebra" comes from the Arabic word Al-Jabr , and was first used in 830 by the Persian mathematician, Muhammad ibn Mūsā al-Khwārizmī , in a book whose title can be translated as The Compendious Book on Calculation by Completion and Balancing . 1 In algebra, completion and balancing are often our goals. We want to simplify and solve —keeping our equations or inequalities in balance as we do so. In the remaining chapters of this book, we will explore this goal in many different contexts.
::“algebra”一词来自阿拉伯语“Al-Jabr”一词,830年首次被波斯数学家Muhammad ibn Mäsā al-Khwārizmit在一本书中使用,该书的标题可译为《关于以补全和平衡计算算算的合算书》。 1 在代数中,完成和平衡往往是我们的目标。我们希望简化和解决——保持平衡,保持我们的等式或不平等。在这本书的其余章节中,我们将在许多不同的背景下探讨这一目标。However, in this chapter, we first take a look back at our number system and reintroduce variables and algebraic expressions. Much of this material may already be familiar to you, but you should still devote the same focus to this material as you would new material. A good builder would not construct a building with a shaky foundation. Likewise, you should shore up your mathematical foundation here.
::然而,在本章中,我们首先回顾一下我们的数字系统,并重新引入变量和代数表达式。许多这种材料可能已经为您所熟悉,但您仍然应该像关注新材料一样关注这些材料。好的建筑商不会在建筑上建一个基础不稳的建筑。同样,您应该在这里支撑您的数学基础。If preparation for the material to come is not enough motivation, many of the skills in this chapter are used in day-to-day life. From shopping, to the weather, to cooking, to banking, number skills are used every day.
::如果对即将到来的材料的准备不够积极,本章中的许多技能都用于日常生活。 从购物到天气、烹饪、银行业,每天都使用数字技能。By the end of this chapter, you should be able to:
::在本章末尾,你应当能够:-
Identify the relationships between sets, and find the union and intersection of sets.
::确定各组之间的关系,并找到各组的结合和交叉点。 -
Classify numbers by the subsets of the real numbers that they belong to.
::按其所属真实数字的子集对数字进行分类。 -
Compare and operate on real numbers, including integers, fractions, decimals, and square roots.
::比较和操作实际数字,包括整数、分数、小数和正根。 -
Simplify and evaluate algebraic expressions.
::简化和评价代数表达式。 -
Convert a quantity from one set of units to another set of units.
::将数量从一组单位转换成另一组单位。 -
Use formulas.
::使用公式。
Features
::特征特征-
Section 2: European Union
::第2款:欧洲联盟 -
Section 4: Under Pressure
::第4节:压力下 -
Section 7: Below Par
::第7节:Par以下 -
Section 8: Pieces of Eight—Fractions on the Stock Market
::第8节:股市上八分交易的碎片 -
Section 15: Making the World Go Round
::第15节:使世界走上一回合
Connections
::连接连接-
Black Friday Shopping
::黑色星期五购物 -
Geometry in Construction and Design
::建筑和设计中的几何
References
::参考参考资料1. “Muhammad ibn Musa al-Khwarizmi,” last edited June 19, 2017, .
::1. “Muhammad ibn Musa al-Khwarizmi”, 2017年6月19日编辑。 -
Identify the relationships between sets, and find the union and intersection of sets.