Scientific notation is a way to express numbers that are either very large or very small. In traditional notation the first kind would have a lot of 0s between the decimal point and the first significant figure whereas the second kind would have a large number of trailing 0s. The need for scientific notation arose from advances in various branches of science: physical particles, astronomical or cosmological distances, size of single cell animals. Nowadays, even non-scientific values such as population, national debts (of some countries) could usefully utilize scientific notation.
A number in scientific notation is written as a * 10b where 1 ≤ a < 10 (although a can be negative with the domain reversed) and b is an integer (negative or positive).
To convert a number to scientific notation:
· If the number has no decimal point, then add one at the end.
· Then move the decimal point to just after the first digit while counting the number of places you have moved it.
· The new number, formed after moving the decimal point is a.
· The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.
For example:
23045.06 becomes 2.304506*104
0.00023004 becomes 2.3004*10-4
To convert a number in scientific notation to normal form:
· If b is positive, move the decimal point b places to the right in the number a - adding 0s at the end of the number, if required.
· If b is negative, move the decimal point b places to the left in the number a - adding leading 0s after the decimal point, if required.
For example:
4.56*105 = 456000.
4.56*10-5 = 0.0000456
I have avoided using the term "Standard form" because, ironically, it is a non-standard term. In the UK Standard and Scientific forms are the same whereas in the US, the Standard form is what I have chosen to call the normal form.
25,000 that is it boom
433,000
The standard form is 300,000,000
standard- 1.05
It is: 1.0*107 in standard form or scientific notation
900
1,600,000,000
Thirty million.
43.12
25,000 that is it boom
5,104,000
433,000
2,016,007,000.
The standard form is 300,000,000
The standard form is 300,000,000
700
5 to the ninth power is 59. 5 to the ninth means 5x5x5x5x5x5x5x5x5. Thats 1 953 125