# Class 6-10 - Playing with Numbers

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In this session, I'll discuss more about numbers.
starting with numbers in general form.
To understand this, let's take a number
52.
if I break it down, now what is the meaning of breaking it down?
I can write 52 as 50 + 2
This is a two digit number.
2 is actually at units place.
5 is at tens place. I am sure all of you know this. So, I can write the...
... the same 52 as 5 into 10...
... because 5 is at tens place. Plus...
...2 into 1 because 2 is at ones place.
So, I can represent 52 as (5 x10)...
... + (2 x 1). Let's take one more number. Let's take 37.
So how do I write in this format? 37 can be written as...
...since 3 is at tens place or the place...
... value is 10, we'll write (3 x 10)...
... + (7 x 1) . So 37 is (3x10) ...
...+ (7x 1). Why 7 x 1? Because 7 is at ones place.
All of you know writing numbers this way.
Now, instead of numbers, if I want to generalize and take...
...any 2 digit number. I'll, instead of using any two...
...digits, I'll use any two digits. What is the meaning of any two digits?
It's AB. So, if I take a 2 digit number...
AB, I can write it as, A is at tens place,...
... B is at ones space. I can write this as (10 x A)...
...+ (b x 1). Instead of AB,...
if it is lets say BA, then it will become (10 x b)...
...+ (a x 1). This is how we represent...
...any 2-digit number, right? By using variables, right. Meaning....
...of any is nothing but in maths we can use variables over there.
So, this A is a single digit.
B is also a single digit, when I represent AB as a 2-digit number.
A and B can represent digits from 0 to 9.
Now, let's take a 3-digit number.
Let's take 356. How do I write 356. I can break it down as 300...
... +50 + 6.
Now, 3 is at hundreds place, so I can write (100 x 3)...
... + 5 is at tens place, so that's (10 x 5)...
...+ 6 is at ones place, so that (1 x 6).
in a similar fashion...
... we can write 427 as (100 x 4) ...
... + (2 x 10) or (10 x 2)...
... to follow the same order. (100 x 4) + (10 x 2)...
... + (1 x 7). That's how we can...
... breakdown 427. In general,...
... a 3-digit number ABC can be, ABC which is made up of digits A, B and C,...
... can be written as ABC = 100A...
...+10B + 1C because A is at hundreds place...
...B is at tens place and C is at ones place.
Same way, suppose of it is CAB, how will I write?
100C + ....
...10A + 1B. Or CBA can be written...
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