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.