Question

How do you write $3000$ in scientific notation?

Answer 1

A number in scientific notation form is in the form $A{{.10}^{b}}$
Where, $A$ is a rational number in decimal form. To convert a number in scientific notation move the decimal place by $b$ places if $b$ is negative.
Move to the left. If $b$ is a positive move to the right, scientific notation is a way of writing very large or very small numbers.

Complete step-by-step answer:
We have to write $3000$ in scientific notation. The purpose of scientific notation is for scientists to write very large or very small numbers with ease.
Calculating scientific notation for a positive integer is simple, as it follows this notation $A{{.10}^{b}}$
Now, to find a take the number and move a decimal place to the right one position.
The original number is $3000$
The new number is $3000$
Now to find $b$ count how many places to the right of the decimal.
The new number $3.000$ There are $3$ places to the right of the decimal point.
Now, we have $A=3$ and $b=3$.
Building upon what we know above we can now reconstruct the number into the scientific notation. The notation is $A\times {{10}^{b}}$ as we know. Now that is $3$ and $b$ is also $3.$ Put the value in the notation is $A\times {{10}^{b}}$
$A=3$ and $b=3$
So, the scientific notation of $3000$ is $3\times {{10}^{3}}$
For confirmation that your answer is right or not check your work
$3\times {{10}^{3}}=3\times 1000=3000$

Hence the scientific notation of $3000$ is $3\times {{10}^{3}}$.

Additional Information:
The proper format for scientific notation is $a\times {{10}^{b}}$ where $A$ is a number of decimal number such the absolute value of $a$ is graph greater than or equal to one and less than or equal $1<\left| 0 \right|\le 10$ $b$ is the of 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 number or ranges of values may be encountered.
It is also often accurate that it must be communicated cosistely.

Note:
When writing in scientific notation only include significant figures in the real number. $'a'$ significant figures are covered in another section. If we move decimal point places to the right so the exponent for the ${{10}^{5}}$ terms will be negative.
If we move decimal point places to the left so the exponent for the term will be positive. Remember this, so while writing the exponents for the $10$ terms write carefully.