Question

How do you convert $6022$ into scientific form?

Answer 1

In this question we are given with a number and asked to convert it in the scientific form. To convert any number in scientific form, we need to write that number with only the first digit and remaining numbers are to be written in decimal part and multiply it with appropriate power of $10$ .

Complete step by step answer:
In this question we are given with a number and asked to convert it in the scientific form.
To write any number in scientific notation means to write the given number with only the first significant digit as the whole part, and the rest of the number as the decimal part.
Obviously, we have to multiply by an appropriate power of 10 to return to our original number.
So, to convert $6022$ into scientific form, we want to maintain only the first significant digit as a whole part of 6022 and that should be written as $6.022$.
Now, as we included three digits in the decimal parts,
i.e. we have divided the given number by$1000$ .
To correct this change, we have to multiply it back by $1000$, writing it in a power of Base $10$ that is ${10^3}$.
Therefore $6022$ converted to scientific form is,
$\Rightarrow 6022 = 6.022 \times 1000$
On rewriting we get,
$\Rightarrow 6.022 \times {10^3}$
$\therefore 6.022 \times {10^3}$ is the correct answer.

Note: Scientific notation is a way of writing the large or big numbers into very small numbers.
A number is said to be written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
The primary reason for converting numbers into scientific notation is to make calculations with large or small numbers as zeros are no longer used to set the decimal point, all of the digits in a number in scientific notation are significant.