How can 13 million be expressed in scientific notation?

To express the number 13 million in scientific notation, we first need to understand the format of scientific notation. Scientific notation is a way of writing numbers that are too large or too small in a more manageable form. It is typically expressed as:

N x 10^k,

where N is a number greater than or equal to 1 and less than 10, and k is an integer.

Now, let’s break it down:

1. Start with the number 13,000,000.
2. Identify where the decimal point would be if we wrote it out: 13,000,000.0.
3. Next, move the decimal point to create a number between 1 and 10. By moving the decimal point 7 places to the left, we get 1.3.
4. Since we moved the decimal 7 places to the left, we add that as the exponent of 10. Thus, we have 1.3 x 10⁷.

Therefore, the scientific notation for 13 million is: 1.3 x 10⁷.