Question

How do you write $1,177billion$ in a scientific notation?

Answer 1

Hint: In the given question, we need to write $1,177billion$ in a scientific notation. Scientific notation is a method of expressing numbers that are too big or too small to be conveniently written in decimal form.
To write in scientific notation, follow the general form: $N \times {10^m}$ where $N$ is a number between $1$ to $10$, but not $10$ itself, and $m$ is any integer (positive or negative number).
At first we will convert $1,177billion$ in number form. After this, we will convert the number in scientific notation using the above written formula.

Complete step by step answer:
We have, $1,177billion$
As we know billion is in the International numeral system.
International numeral system is given as:

Here, we have represented $1billion$ in the International numeral system, using this we will convert $1,177billion$ in number form.
The number $1$ billion in numbers is $1000000000$.
Therefore, if we want to find $x$ billion in number form, we want to find $x$ copies of $1000000000$ in number form. To do this , we simply multiply $x$ by $1000000000$.
$xbillion = x \times 1000000000$
This gives that to find $1,177billion$ in numbers, we multiply $1177$ times $1000000000$.
$ \Rightarrow 1177 \times 1000000000 = 1177000000000$
We get that $1177billion$ in numbers is $1177000000000$.
Now, we will convert $1177000000000$ in scientific notation.
As we know general form of scientific notation is: $N \times {10^m}$
So, we can write the above written number as,
$ \Rightarrow 1177000000000 = 1.177 \times {10^{12}}$

Note:
There are two types of number systems: Indian numeral system and International numeral system. Always remember that Indian numeral system is used in India in which we count in terms of ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores and ten crores and International numeral system is used worldwide in which we count in terms of ones, hundreds, thousands, hundred thousands, millions and billions. So, observe carefully in which numeral system we need to convert the given value. Remember that if the given number is smaller than $1$, in the form of decimal numbers, then the decimal point has to move to the right, and the power of 10 will be negative. Example: Scientific notation for $0.009$ will be $9 \times 0.001$ or $9 \times {10^{ - 3}}$.