REAL NUMBERS (LECTURE 1)

TOPIC: REAL NUMBERS

CLASS: 10

LESSON 1

Dear Students,

This is our first class using the blog.

Thank you for taking the first step and logging in ! You're wonderful !

Congratulations on coming into Class 10 !

I wish you the very best for the year - may you do brilliantly academically.

"Knowledge alone dose not produce wisdom. Transforming knowledge into wisdom requires input from the heart."    Dr. Daisaku Ikeda

Last week, I had asked you to revise the following topics  from class 8 text book by 23rd Marc h 2020:

1) algebraic identities

2) factorisation

3) exponents

4) rational numbers

5) linear equations

Now, we're going to look ahead - you are invited to be on this on new journey.

Few guidelines for my blog:

·         The text in Red, is to be written in your register

·         The text in blue is to be viewed by clicking on it

·         The text in green is to be practiced for home work

·         Follow the instructions (such as write / view / recall....) as and when they appear in my blog

·         I will be with you on this blog from 9.30am till 10.20am so that I can address to any queries that you may have when you go through the lesson. However, if you post any query after this, I will address to that only on the next day during the same slot.

1. take your SET-A Mathematics Register
2. Hope you have written your name, class & section  on your register !
3. Our handwriting reflects a lot about us. It will be awesome if you use good presentation and cursive hand writing
4. Make a column on the right hand side, if you need to do any rough work
5. What ever is in Red, is to be written in your register
6. Write the topic : "Real Numbers"
7. Write today's date
8. Please write the learning outcomes as mentioned below 

I will be able to  :

• recall what are prime numbers and composite numbers 
• write different types of decimal expansions for the real numbers
• state whether given number has terminating or non-terminating decimal expansion 

Click on the following link to recall what are prime numbers and composite numbers 

https://www.mathsisfun.com/prime-composite-number.html

Have you been through the above link ?

If yes then please answer the following questions as Class work right now ?

Q1)   So, is 1 a prime or a composite ?

A1)   1 is a _____________ number !

Q2)  Why is 13 a prime number ?

A2) 

Q3)  Why is 18 a composite number ?

A3) 

Hope you have answered the above questions !

If not, then here are few hints for you:

** How many total number of factors does 13 have ?

** How many total number of factors does 18 have ?

Q4) Now look at the question in the image given below. First part has been solved for you.

Q5) You attempt the second part yourself as class work right now

Q6) What are the two types DECIMAL EXPANSION OF RATIONAL NUMBERS ?

A6) Either terminating or Non Terminating and Recurring

Q7) How do I determine the type of decimal expansion ?

A7) By _______________ (Addition / Division)

Now let us look at how to STATE WHETHER GIVEN NUMBER HAS TERMINATING OR NON-TERMINATING DECIMAL EXPANSION.

Please look at the image below. It illustrates the steps to follow to solve the above mystery without actual division.

Please look at the example in the image below.

Now you should be able to attempt NCERT Ex. 1.4 (Q1, Q3) for home work

Q8) What process do I use to calculate the DECIMAL EXPANSION OF RATIONAL NUMBERS ?

A8) By _______________ (Addition / Division)

Now let us look at how to calculate the decimal expansion without actual division

Of course, you need one example to work out the above algorithm!

(Please take down this new word (algorithm) in your diary with today’s date, even if YOU KNOW IT. Search for the meaning if you do not and pen down)

By the way, if all of us would follow the algorithm defined by the nature where we take care of our needs without showing are greed, we would have already attained SDG-1 (Sustainable Goal No-1: NO Poverty)

This goes into your registers ­

Note:Cancel out the common factors b/w the numerator and the denominator ,that is p and q are coprimes where the prime factorisation of q is of the form 2ⁿ5^m

Now you should be able to attempt NCERT Ex. 1.4 (Q2) for home work

 That should be all for today !

Good morning and thank you boys !

Take a good care of yourself

See you tomorrow for the next class !