Answer :
Scientific notation is used to represent very large and very small numbers. Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
The purpose of scientific notation explained as follows:-
Firstly we will understand what is scientific notation.
What is Scientific notation?
Scientific notation is a form of showing the numbers that are too big or too short (long string) will be written in decimal form.
It is a scientific form or we can say its a standard index form, or standard form where Base ten notation is popularly used by scientists, mathematicians, and engineers, because it can make simple all arithmetic operations
[tex]\rm a \times 10^b[/tex]
How do you write scientific notation?
The proper format for writting scientific notation
[tex]\rm a \times 10^b[/tex] a = number or decimal number
b = the power of 10
- 1 ≤ |a| < 10.
- the scientific notation is mathematically equivalent to the original number.
According to the question, we have to explain the purpose of scientific notation which is is to display very (large or small numbers)
Here, we see How we can represent the numbers Scientific notation
i.e. 7800000000000 in scientific notation would be [tex]7.8\times 10^2[/tex]
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