Number System: Real Numbers, Indices, Surds.

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课程主页: https://www.udemy.com/course/number-system-real-numbers-indices-surds/

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课程名称:数字系统:实数、指数、无理数 概述:数字系统是数学中最基础的章节之一。在本课程中,您将学习实数的数学运算及不同形式之间的转换,并通过训练解决实际问题。课程内容包括:有理数和无理数的性质(封闭性、交换性、结合性和加减法的分配性);重要的实数恒等式;在两个有理数之间找到有理数的方法;数字线上实数的表示;构造平方根螺旋;在数字线上找到正实数的平方根;在两个有理数、两个无理数和一个有理数与一个无理数之间找到无理数的方法;有理数的小数扩展,包括有限小数、非有限但循环小数、非有限非循环小数;分数形式与有限及非有限小数形式之间的转换;无理数的数学运算;在数字线上找到正实数的平方根;指数法则与无理数处理;无理数的有理化;最大公因数和最小公倍数;欧几里得除法引理及算法;算术基本定理;无理数的证明;解决实际问题。希望您能通过本课程深化理解。 注意:18岁以下但已达法定同意年龄的学员需由父母或监护人开设账户、处理注册并管理账户使用。

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课程详情

Number system is a one of the most fundamental chapter in mathematics. In this course, you will learn the mathematical operations and conversion of different forms of real numbers. You will also learn how to solve real-life problems by practising enough mathematical problems. The topics you will learn are from this course:Properties of rational and irrational numbers ( Closure, Commutative, Associative and Distributivity over addition and subtraction).Important identities of real numbers.Methods of finding rational numbers between two rational numbers.Real numbers on a number line.Constructing square root spiral.Finding square root of a positive real number on number line.Methods of finding irrational numbers between two rational numbers, two irrational numbers and between one rational and one irrational number.Decimal expansion of rational numbers.Terminating Decimals, non-terminating but recurring decimals, non-terminating and non-recurring decimals.Conversion of fractional form to terminating and non-terminating decimal form and vice versa.Mathematical operations on irrational numbers.Finding square root of a positive real number on number line.Laws of Indices Radicals, Surds.Rationalization of Surds.Highest common factor, Least common multiple.Euclid's Division Lemma and Algorithm.Fundamental theorem of arithmetic.Proof of irrationality.Solving real-life problems.Hope you will learn from the course and improve your concept.Note: Those under 18 but above the age of consent may use the course only if a parent or guardian opens their account, handles any enrollments, and manages their account usage.

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