Question

What do you mean by scientific notation?

Answer 1

Hint: We have to remember that there are some general rules given for writing the scientific notation. These rules should be kept in mind while writing scientific notation for any numbers. We have to remember that the scientific notation is one of the ways of expressing the large and small numbers in a proper way.

Complete answer:
We need to know that some of the basic rules are developed for writing scientific notation for all the numbers is given below:
For writing scientific notation, the base should always be taken as \[10\].
Exponents can be a non-zero integer.
The value of the coefficient can be a negative number or it can be a positive number.
The coefficients can be a whole number as well as decimals also.
Now, let us take some examples to understand the concept of writing scientific notation for the given numbers.
Some of the examples are shown below to get a good command over writing scientific notations.
\[6000 = 6 \times {10^3}\]
\[490000000 = 4.9 \times {10^8}\]
\[0.0000213 = 2.13 \times {10^{ - 5}}\]
\[5000 = 5 \times {10^3}\]
The numbers that are written on the left hand side of equals to are written in standard notations and on the right hand side there scientific notations are written.

Note:
We need to know that while writing scientific notation, keep in mind the rules required for its writing. Students might get confused with scientific notation and standard notation. There is a difference between standard notation and scientific notation. For writing scientific notations we should also have a knowledge of significant figures which is one of the most important topics in mathematics, physics as well as chemistry.
All the three topics discussed above are interrelated to each other. For counting significant figures also there are some basic rules given.