How Do You Write 0.0003 in Scientific Notation?

To write the number 0.0003 in scientific notation, you follow a simple process. Scientific notation is a way to express numbers that are too large or too small in a more compact form. The general format for scientific notation is a × 10ⁿ, where a is a number greater than or equal to 1 and less than 10, and n is an integer.

Here’s how you can convert 0.0003:

1. First, you need to move the decimal point in 0.0003 to the right until you have a number between 1 and 10. In this case, moving the decimal point three places to the right gives us 3.
2. Next, since we moved the decimal point three places to the right, we reflect this movement as a negative exponent in our scientific notation. The exponent will be -3 because we moved it to the right.

Putting this together, we can write 0.0003 in scientific notation as:

3 × 10^-4

This means that 0.0003 is equal to 3 multiplied by 10 raised to the power of -4.