Question

How do you express $56,700,000$ in scientific notation?

Answer 1

Hint : To express a number in scientific notation we need to write it in the form of $x \times {10^y}$ where the absolute value of x should be between $1$ and $10$, y is the power of $10$ and $10$ is called the base. x can be an integer or a decimal number.

Complete Step-by-step solution: The rules to be followed when a number needs to be written in scientific notation is as follows:
If the number multiple of $10$, then the value of y is positive.
But if the number is less than $1$, then the value of y is negative.
The scientific notation should consist of two parts: x and ${10^y}$.
To convert $56,700,000$ in scientific notation:
The number $56,700,000$ is a multiple of $10$ therefore the value of y will be positive. The scientific notation will be $5.67 \times {10^7}$. Here the exponent of the given number is $7$.
The scientific notation is very useful and an effective way of writing large numbers (numbers in millions and billions) in short. It can also be used to represent very small numbers in an effective way. It is used in several places like for mentioning large distances (like the distance between two planets), size of very small cells (like the red blood cells), etc.

Note: Very small numbers can also be written using scientific notation. For example: $0.00067$ can be written as $6.7 \times {10^{ - 4}}$. The exponent of this number is $ - 4$, its base is $10$ and it has two significant figures. The scientific notation is also known as index form or scientific form.