Question

How do you write $5,880,000,000,000$ in scientific form?

Answer 1

Hint: Scientific form is defined as a standardized way to represent any number as the product of a real number and a power of $10$.. The general form of scientific notation is $M\times {{10}^{n}}$ where $M$is a number between $1$ and $10$ and also a decimal number but not $10$ as it would add to the power again and there would be no digit part in the form whereas $n$ is any integer. Mantissa is the name of digits after the decimal point. There should only be one digit before the mantissa.

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.
$5,880,000,000,000=5.88\times {{10}^{12}}$ since there are $7$ zeroes.
$\therefore $ Hence, the scientific form of $5,880,000,000,000$would be $5.88\times {{10}^{12}}$.

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.