Number System: Real Numbers, Indices, Surds.
Thorough lectures on Rational and Irrational Numbers with enough practice problems for Middle and High School Students.
Ratings 4.50 / 5.00
What You Will Learn!
- Types of Numbers.
- Properties Rational Numbers.
- Important identities of Numbers.
- Properties of Irrational Numbers
- Terminating decimal, non-terminating but recurring decimals, non-terminating and non recurring decimals.
- Conversion of fractional form to decimals and decimals to fractional form.
- Decimal expansion of Rational Number.
- Constructing a square root spiral.
- Real Number on number line.
- Methods of finding Rational Numbers between two Rational Numbers.
- Finding Irrational Numbers between one Rational and one Irrational Number.
- Finding Irrational Numbers between two decimal Numbers.
- Finding Irrational Numbers between two Rational Numbers
- Finding Irrational Numbers between two Irrational Numbers.
- Representation of a square root of a positive real number on a number line.
- Indices, Radicals and Surds.
- Euclid's Division Lemma and Algorithm.
- Fundamental Theorem of Arithmetic,
- Proof of Irrationality.
Description
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.
Who Should Attend!
- This course is for middle and high school students and for those who wish to learn Number System,.