Scientific notation
Rholish
Scientific Notation include in the mathematics course. In the world of science some time we deal with numbers which are very small and those which are very large. In some branches of science large numbers while in others very small numbers are used.
Scientific Notation include in the mathematics course. In the world of science some time we deal with numbers which are very small and those which are very large. In some branches of science large numbers while in others very small numbers are used. In astronomy we deal with large numbers while in some branches of physics, chemistry, biology etc. very small numbers used. For example, the speed of light is 186000 miles per second or approximately 30,000,000,000 centimeters per second. It is too difficult to write extremely large or extremely small numbers in their standard form while solving mathematics questions. For the sake of convenience we express such numbers in an easier way, in this method the given number a is written as a product of two numbers a = b*10 where 1lessthen and equal to b less then and equal to 10 and n ? Z. To write numbers in this particular form is to write the numbers in scientific notation.
Example
Write 1000 in scientific notation.
Solution:
1000 = 1*10
Example 2:
Write the speed of light 30,000,000,000 cm per second in scientific notation.
Solution:
30,000,000,000 = 3*10,000,000,000
= 3*10
Thus the speed of light is 3*10cm per second.
In scientific notation, a number is represented as a products of two numbers, in which the first factor is obtained by placing a decimal point after the first left hand non-zero digit, while the exponent of 10in the second factor is obtained by counting the number of digits lying between the new position of decimal point and the original position of the decimal point. If the movement of the decimal point from new original position is right wards, the exponent is positive and if the movement is leftward s, the exponent is negative.