Scientific Notation is also referred to as Standard form in mathematics. It is basically a notation for writing numbers which makes it easier for mathematicians to write large and small numbers. A scientific notation is based on the power of base number 10. For complete instruction on how to use scientific notations see the link below: members.aol.com
There are many very lengthy and very small numbers in scientific studies. You can exchange the very long or very small number in to a suitable scientific notation. The method is that you keep the decimal point after the first major digit and set the exponent of ten so that there is no conversion in the value of the number.
It is thought that change will be happen due to the alteration of a number in to two parts, a digit part and an exponent part, from the old number. To put the decimal point behind the first digit, it is necessary for you to divide or multiply the definite number by some integer power of ten. Then you must do the inverse to the exponent part of the new equation or expression so that there is no change in the value of the number.
The actual numbers have the same value as the exponential type, but the exponential type has the decimal point in the right hand side. In the number "E" stands for exponent. In scientific calculator numbers are used in small forms that are show by "E". Power of ten of any number only showed that how many places you required for decimal to move. in the scientific notation form numbers that are not more then one have off-putting exponent numbers, and numbers that are greater then one have optimistic exponent numbers.
Mine is also same Often dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powers. and help me with Often dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powers.
Often dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powers.
Often dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powers
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powersOften dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powersOften dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Due to exponential express of such terms, performing arithmetic operations is easy on the larger or smaller terms. There are specific names for the exponential powers like 10 exp 3 represents the kilo quantities. You can find the scientific notation table from the internet giving you the complete scientific notations along with their exponential powersOften dealing with the mathematical solutions, we need to deal with very small quantities or some very much large quantities. Example of a very small quantity can be as 0.000005 or much smaller are also there. An example of a large quantity is 2000000000. These are the quantities written only. Imagine if you have to deal the arithmetic operations on such quantities.
It would be a greatly difficult for a person to do the job. So for the ease in the larger calculation, scientific notations are used. In scientific notations, we represent a quantity as a multiple of 10. For example the above small notation in terms of scientific notation can be written as 5 x 10 exp -6 ( exp -6 represents the exponential power of -6). Similarly the larger term can be written as 2 x 10 exp 9 (exp 9 representing the exponential power of nine).
Before you learn about the scientific notation, you have to have the knowledge of positive and negative exponents. You need to make sure that it does not matter how you move the decimal (left or right), the number must either greater than or equal than 1 and less than 10. When you move the decimal to the left, your power of 10 will have a positive exponent. For example, 33000=3.3x10^4. When you move the decimal to the right, you will have a negative power of 10 exponent. For example, 0.2345=2.345x10^-1.
Scientific notation is a way of writing really large or really small numbers in an easier way. For example, you could write out the number three billion the long way:
3,000,000,000
Or you could write it in scientific notation
3 x 10^9 (That is, 3 times ten to the ninth power)
The way it works is by counting the number of times you move the decimal point (.) to the position after the number in front (3). In this case:
Then you drop the zeros. So you have 3 times 10 to the number of times you counted, which is nine. 3 x 10^9.
So 59000000 would be 5.9 x 10^7 50900000 would be 5.09 x 10^7
Note that the x 10 is always the same. The only thing that changes is the number in front and the power. Also note that you keep any zeros between non-zero number (like 5.09 above).
The reason people use this is to avoid wasting time and space writing numbers. I would rather write 6.02 x 10^23 than 602,000,000,000,000,000,000,000. A lot easier, right?
The same is for really small numbers. Just change the power to negative.
0.000000003 = 3 x 10^-9 0.00000059 = 5.9 x 10^-7 0.000000509 = 5.09 x 10^-7 0.000002000509 = 2.000509 x 10^-6
Once again, I would rather write 1.602 x 10^-19 than 0.0000000000000000001602.
People might think that these long numbers are uncommon, but remember that scientists commonly work with very extreme numbers. The biggest and the smallest numbers above are used by physics and engineering students everyday.
This is a basic explanation. There are other uses for it such as expressing significant figures and orders of magnitude.
