Scientific notation is a convenient way to express very large or very small numbers. It is a way of writing down numbers that are too large to express in the traditional decimal form. In scientific notation, all numbers are written in the form of a number multiplied by 10 raised to a power. This power is called the exponent. The number 67.5 billion, when written in scientific notation, is 6.75 x 10^{10}.

## Why Use Scientific Notation?

Scientific notation is useful for expressing very large numbers in a more compact form. It is also helpful when performing mathematical operations with very large or very small numbers. When written in scientific notation, complex calculations become easier and require fewer steps. For example, multiplying two numbers written in scientific notation is much simpler than multiplying two numbers written in decimal form.

## When Should You Use Scientific Notation?

Scientific notation is often used in scientific, engineering, and mathematics contexts. Many scientific calculators can switch between decimal and scientific notation, allowing users to work with very large and very small numbers. Scientific notation is also commonly used in scientific research papers and textbooks.

## Converting to Scientific Notation

When converting a number to scientific notation, the first step is to identify the number of digits before the decimal point. For the number 67.5 billion, there are seven digits before the decimal point. The next step is to move the decimal point seven places to the left. This results in the number 6.75. Finally, the number 6.75 is multiplied by 10 raised to the power of 10, which is written as 6.75 x 10^{10}.

Scientific notation is a useful way of expressing very large or very small numbers. It is used in scientific, engineering, and mathematics contexts, and many scientific calculators can switch between decimal and scientific notation. To write 67.5 billion in scientific notation, the number is first moved seven places to the left, resulting in 6.75. This number is then multiplied by 10 raised to the power of 10, which is written as 6.75 x 10^{10}.