Question

How do you write $5,430,000$ in scientific form?

Answer 1

Hint: Scientific form or scientific notation is a method of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers for complex calculations with lengthy numbers. On scientific calculators it is usually known as “SCI” display mode. The general form of scientific notation is $A\times {{10}^{b}}$ where $A$ is a number between $1$ and $10$ but not $10$ as it would add to the power again and $b$ is any integer.

Complete step by step answer:
There are Scientific Form Rules that we have to follow in order to write any number in that form. They are the following :
Rule 1 : The scientific form is written in two parts. One part consists of the digits with the decimal point placed after the first digit followed by a multiplication with $10$ to a power which is equal to the number of digits after the decimal point.
Rule 2 : If the given number is greater than $1$ and multiples of $10$ , then the decimal point has to move to the left and the power of $10$ will be positive.
Rule 3 : If the given number is smaller than $1$ , then the decimal point has to move to the right and the power of $10$ will be negative. Example : The Scientific Form of $0.912$ would be $9.12\times {{10}^{-1}}$ .
Let us write the given number in scientific form using the above rules.
$5,430,000=5.43\times {{10}^{6}}$

$\therefore $ Hence, the scientific form of $5,430,000$ would be $5.43\times {{10}^{6}}$.

Note: We should remember all the rules of Scientific Form so as to complete a question quickly in the exam. We might not get a question from this. But we will surely be asked to write the answers of other questions in Scientific Notation or Scientific Form so as to avoid confusion from the answers of many students. Huge amount of practice is also required.