Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is a system of writing numbers in a form that simplifies calculations and makes it easier to compare two or more numbers. In scientific notation, the number 0.00087 is written as 8.7 x 10^{-4}. This means that 8.7 is multiplied by 10 raised to the power of -4.

## How is 0.00087 Written in Scientific Notation?

In scientific notation, numbers are written with a base number between 1 and 10 multiplied by 10 raised to an exponent. To write 0.00087 in scientific notation, first move the decimal point four places to the left. The result is 8.7, which is the base number. The number of places the decimal point was moved is the exponent, in this case -4. Therefore, 0.00087 is written as 8.7 x 10^{-4} in scientific notation.

## What is the Purpose of Scientific Notation?

Scientific notation is used to simplify calculations and make comparisons between large and small numbers easier. For example, it would be much easier to compare 0.00087 to 0.0000005 if both were written in scientific notation. In decimal form, 0.00087 is much larger than 0.0000005, but in scientific notation they are both written as 8.7 x 10^{-4} and 5 x 10^{-7} respectively, making comparison much simpler.

## What are Some Other Examples of Numbers Written in Scientific Notation?

Scientific notation can be used to express any number, regardless of size. Some examples of very large and very small numbers written in scientific notation include: 5,700,000 written as 5.7 x 10^{6}, 0.000000000087 written as 8.7 x 10^{-11}, and 0.000000000000001 written as 1 x 10^{-14}. As you can see, scientific notation is useful for expressing extremely large or small numbers that would be difficult to write in decimal form.

In conclusion, scientific notation is a useful tool for expressing numbers that are too large or too small to be written in decimal form. 0.00087 is written as 8.7 x 10^{-4} in scientific notation, and this system of writing numbers makes calculations and comparisons much simpler. Scientific notation can be used to express any number, regardless of size, making it an essential tool for scientists, mathematicians, and engineers.

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