Standard form is the form you want.
100 = 1, 101 = 10, 102 = 100, 103 = 1000 etc
Therefore if you want to write 300000000 in standard form it is 3 x 108
The same thing applies to decimals -
10-1 = 0.1, 10-2 = 0.01, 10-3 = 0.001 etc
Therefore if you want to write 0.0000004 in standard form it is 4 x 10-7
Note, that the number you multiply the power of ten to must be between 0 and 10 for example -
45600000 CANNOT be written as 456 x 105 but MUST be written as 4.56 x 107
also 0.00000345 CANNOT be written as 345 x 10-9 but MUST be written as 3.45 x 10-7.
For example if you have a large distance or number like 200,000,000,000 and it becomes tedious to write, just write 2x1011 and It makes numbers shorter and easier to use and write
it is shorter smaller try it out
I do not know who invented it, but i do know why. When scientists are talking in large numbers like light years and the vast distances in between the galaxies they need a shorter way to write it.
The numbers are smaller.
Scientific notation is usually used to represent large numbers (especially in astronomy). Take the example 15 million, 320 thousand...You could write it as 15,320,000 but a shorter way would be... 15.32 x 106
so they are smaller quicker and easier to write
This provides a convenient and compact way to write very large or very small numbers.
Very small or very large numbers.
you use > to show greatest to least, and <to show least to greatest
It is easier to write 2.3 * 10-9 than to write 0.0000000023 ■
To write 400 thousand in numbers, you would write 400,000. This is a standard way to represent large numbers using commas to separate the thousands, millions, billions, etc. In this case, 400 is followed by three zeros to indicate the thousands place.
You can call your numbers "a" and "b", and write two equations:a + b = 37 b = a + 11 If you substitute the second equation in the first one, you can easily solve for "a" (the smaller of the two numbers).