In the beautiful subject of mathematics, we are taught many long values such as speed of light (300,000,000ms-1) and very small values like a Nano meter (1,000,000,000th of a meter). Therefore, it is precisely hard to write such values when engaging in normal activities. Along with 3rd century BC, the famous mathematician Archimedes developed a system in which we could write long numbers and small numbers in easier terms. Behold! The scientific notation was introduced.
So, how do we do work with it?
Now you see, the speed of light is 300,000,000ms-1
which is followed by 8 zeros. When we write the scientific notation, we use the
numbers between 0 and 10 represent the 'co efficient'. So, the first number in
the value, ‘speed of light’ is 3. Then, we count the number of zeros it has and
write it as a power of 10 which is called the 'base'.
Hence, 300,000,000 = 3 x 108
For the value 1,234,000: we use the number between 0 and 10
which is in the given value. Its absolutely alright to have decimals! Therefore,
1,234,000 = 1.234 x 106
See how easy it is! Next, we will learn to use the scientific
notation for very small numbers. Take the value of nanometer for example
(1,000,000,000th of a meter which is also 1,000,000,000-1
of a meter. It can also be written as 0.000 000 000 1 Hence, we do the same
thing as we did before. However, we will use a negative value for the power of
10.
0. 000 000 000 1 = 1 x 10-9
0. 001 234 = 1.234 x 10-6
Summary,
Hope you enjoyed.
thank you!