Score More in Real Numbers

Become an expert in 'Real Numbers' by having a thorough understanding of the topic

Created byRavi Handa

Last updated 4/2016

English

What you'll learn

By the end of the course, you will be able to solve problems on Real Numbers very easily.

Course content

4 sections • 12 lectures • 46m total length

Real Numbers Key Concepts - 19:51
In this video we talk about the different kind of Real Numbers - Natural Numbers, Whole Numbers, Real Numbers, Integers, Rational Numbers and Irrational Numbers. We also discuss the difference between Prime & Composite Numbers.

It also contains a detail explanation of Euclid's Division and the Fundamental Theorem of Arithmetic
Real Numbers Key Concepts - 28:32
In this video we continue with the Key Concepts of Real Numbers. Please watch "Real Numbers Key Concepts - 1" before watching this video.

In this video, we revisit Irrational Numbers and figure out that they are non-terminating and non-repeating in decimal format. We also find out ways to prove that sqrt(2) is an irrational number. This idea can be used to prove irrationality of other numbers as well.

We also revisit Rational Numbers and figure out that they are either terminating or repeating (recurring) in decimal format. We also discuss how to look at a rational number and figure out whether it would terminate or it would be of the recurring form.

Real Numbers Solved Example 022:45
In this video, we solve an example using the Euclid's division lemma. The question is as follows:
Q : Show that the square of any positive integer is of the form 3m or 3m+1 for some integer m.
Real Numbers Solved Example 032:28
In this video, we solve an example using the Euclid's division algorithm. The question is as follows:
Q : Find the HCF of 12576 and 4052 using the Euclid's Division Algorithm.
Real Numbers Solved Example 043:20
In this video, we solve an example using the algorithm for finding the HCF. The question is as follows:
Q : In a seminar, the number of participants in Physics, Chemistry and Maths are 60, 84 and 108, respectively. Find the minimum number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject.
Real Numbers Solved Example 054:31
In this video, we solve an example using the Prime Factorization. The question is as follows:

Q : Determine the prime factorization of 12650 and 556920.
Real Numbers Solved Example 062:24
In this video, we solve an example using the LCM algorithm. The question is as follows:
Q : There are three kinds of buses - red, green and blue. The red buses leave every 15 minutes, the green buses leave ever 20 minuted and the blue buses leave every 25 minuted from the stop. If all three buses depart together at 8:00 am, when will the three buses depart together again?
Real Numbers Solved Example 073:53
n this video, we solve an example regarding irrational numbers. The question is as follows:

Q : Prove that sqrt(5) is irrational. Using this, prove that 3 + 2sqrt(5) is irrational.
Real Numbers Solved Example 082:54
In this video, we solve an example using the concept of Terminating and Non Terminating Decimals. The question is as follows:
Q : Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non terminating repeating decimal expansion.
(i) 19/8
(ii) 26/325
(iii) 5/450
Real Numbers Solved Example 092:30
In this video, we solve an example using the concept of Prime Numbers. The question is as follows:

Q : There are three co-prime numbers. The product of the first two numbers is 551 and the product of that last two numbers is 1073. Find out the sum of the three.
Real Numbers Solved Example 103:17
In this video, we solve an example using the concept of LCM. The question is as follows:

Q : Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.

Description

The course is about 'Basics of Real Numbers'

It includes videos - 2 on Basic Concepts and 10 on Solved Examples. There are also ~50 solved examples in the PDF.

The course can be completed within a week.

You should take this course to improve your basics on 'Real Numbers'

Who this course is for:

School students of Grade 9-10

Score More in Real Numbers

What you'll learn

Course content

Key Concepts2 lectures • 18min

Solved Examples - Videos9 lectures • 28min

Solved Exercise (NCERT)1 lecture • 19min

For Testing - WizIQ0

Description

Who this course is for: