Question

How do you write $3,500,000,000$ in scientific notation?

Answer 1

Hint: In scientific notation is a means of expressing very large or small numbers by power of ten so that the values are more easily understood.
The scientific notation is a way of writing out a number. This is most useful when dealing with very large or very small numbers. A number is scientific notation from is in the form $a{{.10}^{v}}$
Where $1\le a<10$ and $b$ is an integer.
For example $1000000000000$ in scientific notation form is.
${{1.0.10}^{12}}$
Another example, $0.0000000123$ is $1.23\times {{10}^{-8}}$

Complete step-by-step answer:
The given number is $3,500,000,000$
Now we have to write $3,500,000,000$ in scientific notation.
Therefore,
Scientific notation requires a decimal to the right of the leftmost non zero number.
If there is no decimal, place a decimal to the far right of all of the numbers:
$3,500,000,000.$
Now,
Move the decimal to the left until it resides to the right of the leftmost non-zero numbers.
Count how many places the decimal has moved:
$3,500,000,000$ (decimal moved $9$ places)
Remove the extra zeros unless this is a measurement.

The number $3,500,000,000$ is written as $3.5\times {{10}^{9}}$ in scientific notation.

Additional Information:
The proper format for scientific notation is $a\times {{10}^{b}}$ where $a$ is a number of decimal number such that the absolute value of $a$ is greater than or equal to one and less than or, $1\le \left| a \right|<10,b$ is the $10$ required so that the scientific notation is mathematically equivalent to the original number.
As the name implies, its primary use is in the sciences, where a huge range of values may be encountered. It is also often used when accuracy must be communicated consistently.
Chemists, physicists, astronomers, and biologists (and related disciplines) use scientific notation on a regular basis.
“Common” use is something else, as most daily interactions and matches of life do not need the range or accuracy of scientific notation. But if you do not at least understand how they are created and why they are used. You may miss some important information when they are used by other people.

Note:
When writing in scientific notation only include significant figures in the real number. $'a'$ significant figure is covered in another section. To express a number in scientific notation, you move the decimal place to the right if the number is less than zero or the left if the number is greater than zero.
Always remember to not insert zeros between the number and the decimal point.
Always make sure you move the decimal point in the right left direction.