Scientific notation

In Maths we often multiply the same number itself by several times. So to reduce the time of calculation, most of people uses the scientific notation.

For example, lets say we're multiplying 3 for 7 times.
                                         3x3x3x3x3x3x3

Then we do this. 3⁷ 

This is a example of the scientific notation but also it's called the Exponential notation. 

Now, the number 7 above the 3, is called the index. Reason we call index is because we shortened the calculation, so we're showing the proof of the calculation. 

Also, some of the people reads 3 times 3 times 3 3 times... we don't pronounce like that. We pronounce like this three to the power of seven. 

Second example is 25x10⁵. In this case, firstly solve the 10 to the power of 5 then multiply with 25.

Also when the whole number is decimal, for example, 5.345x10⁷. First one is do the 10 to the power of 7 first then multiply with the 5.345. Second one is move the decimal point to the right by the number of index, in this one we move decimal point to the right 7 points then put the zeros.

Third and last example is 4.5x10⁻⁶. This example is similar to the eg1 and eg2 and the solving way is similar but this we're putting the decimal point at left. Reason is the minus point means going backward and that means the answer will be the decimal. Therefore, we send the decimal point to left 6 units away. Then we got the answer 0.0000045.

* Sometimes scientists or Mathematicians uses scientific notation because sometimes they do the complicated mathematics and often they multiply the same numbers several times.

place value

The first thing I would like to talk about is place value. Firstly place value is to understand each columns, by the column means place. Like one's or unit, tens, hundreds, thousands, ten thousands, hundred thousands, and millions and keep goes on.

For example, 5723146. The 5 indicates the millions, 7 indicates hundred thousands, 2 indicates ten thousands, 3 indicates thousands, 1 indicates hundreds, 4 indicates tens and lastly, 6 indicates one's or units.

Secondly there's also a place value for the decimals, which is similar to the one that we just looked. here's how it goes. Lets go bit slow for you to understand, first example is 5.9. The 5 indicates the whole number and 9 indicates the tenth. Tenth is tens in the decimal place value and make sure you don't get confused with the tens and tenth.

Second example is 6.95. Okay this example looks similar of the first example, the difference is this example has hundredth and the hundredth is 5.

Okay hope you got something and the decimal value is equal to the whole number place value, tens is tenth, hundreds is hundredth, thousand is thousandth and it goes on.

 Also the place values mostly used most of the time.

Introduction

 When you're about to study mathematics you have stress that you don't know where it comes from. I had a same one when I was a little kid but now I'm confident and very enthusiastic in mathematics. Therefore I'll be teaching and helping you possibly, and make you confident and enthusiastic in mathematics.

 Mathematics is different  than any other subjects like English or history. Mathematics is part of communication around the world. It's one of the language that we use everyday. It's something very special to us the one that we can't lose it a high priority. Also mathematics is not a spectators sport. This is the first thing to remember first.

 From now on I'll be showing some examples and tell you how it works. It might be frustrated or boring but once you know how it works you 'll have a fun that you've never had before.

 I'm Mr. Jang, welcome to my class.

   Enjoy.