Question

How do you convert 6022 into scientific form?

Answer 1

Scientific notation is a system of representation in which we use a decimal number times a power of ten. The decimal value is generally written with one digit, non-zero, in front of the decimal point, and when multiplied together with a power of ten, the scientific notation exactly equals the value it represents. This is also known as the normalized form for scientific notation.
For expressing a number in scientific notation (normalized form), write it in form of $k \times {10^m}$, where k is a decimal with $1 \leqslant k < 10$ and m is integer.

Complete step-by-step answer:
Step: 1 To convert a number in scientific form, means to write the number with only the first digit as the whole part, and another part of the number as the decimal part.
Multiply by an appropriate power of ten to return to your original number.
Therefore maintain only the first significant digit as a whole part of 6022, and write it as 6.022.
To write 6022 as 6.022, divide 6022 by 1000, to nullify this effect, multiply it with 1000 and write it as ${10^3}$.
$\dfrac{{6022}}{{1000}} = 6.022 \times 1000 \\\ \Rightarrow 6.022 \times {10^3} \\\$

Therefore the scientific form of 6022 is $6.022 \times {10^3}$.

Note:
Students are advised to remember whether to use a positive or negative exponent or whether to move the decimal point right or left. It is much better to think about the meaning of the multiplication involved in the scientific notation. They must know that, multiplying by a positive power of ten makes the number larger and multiplying by a negative power of ten makes the number smaller.