Question

How to convert $433kg$ to $mg$ in scientific notation?

Answer 1

Scientific notation is a method of displaying extremely large or extremely small numbers in a simpler way. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a sheet of paper. In addition, the numbers in the millions placed after the decimal required to be represented in a more direct way. As a result, representing a few integers in their expanded form is difficult. As a result, we use scientific notation.

Complete answer:
In the given, question we have to convert $433kg$ to $mg$ in scientific notation,
$mg = \;milligram$
We know that,
$1\;kg = 1,000,000mg$
$1kg = 1 \times {10^6}mg$
$433\;kg = 433 \times 1 \times {10^6}$
$433\;kg = 4.33 \times {10^8}mg$
We follow the general form when writing in scientific notation.
$N \times {10^m}$
where $N$ is any integer between $1$ and $10$ , but not $10$ itself, and m is any positive integer between $1$ and $10$ (positive or negative number). In scientific notation, the digit term denotes the number of significant figures in the number. The decimal point is only placed by the exponential term.

Additional Information:
Scientific notations are used to simplify the representation of very large numbers. It's a type of shorthand for writing huge numbers.
Some real-life examples of scientific notation include the following:
-It is used to explain complicated concepts like polynomials and exponents.
-Scientists use it to compute the length of a blood cell and to describe the distance between planets.
-It is used by astronomers to describe the distance between the earth and the moon, the earth and the sun, the distance light travels in a year, and so on.
-To represent the entire world's population.
-A dust particle's mass.
-The total number of cells in a person's body.

Note:
Significant figures are the digits of a number that have meaning for the measurement's resolution in chemistry. In chemistry, they are also known as important figures. The number of significant single digits ( $0$ to $9$ inclusive) in the coefficient of expression in scientific notation is referred to as "significant figures."