Final answer:
The decimals 0.002 and 0.09 are related in that they are both rational numbers and can be written in scientific notation. However, the correct relationship based on the provided options is that 0.09 is greater than 0.002, and it is not the case that one is the reciprocal of the other or that 0.002 is specifically a fraction of 0.09.
Step-by-step explanation:
The decimals 0.002 and 0.09 are related in a few ways, but the correct relationship according to the options given is that 0.09 is greater than 0.002. Both numbers are decimals and can be expressed in scientific notation. For example, the scientific notation for 0.0000045 is 4.5 X 10-6, showcasing a similar format to other decimal numbers when written this way. Furthermore, both 0.002 and 0.09 are examples of rational numbers because they can be expressed as a fraction with integers in both the numerator and the denominator.
To determine whether 0.09 is the reciprocal of 0.002, you can calculate the reciprocal of 0.002, which gives 500, thus option B is incorrect. Saying that 0.002 is a fraction of 0.09 is misleading without specific context because any number can theoretically be a fraction of another number, but this does not describe a particular relationship concerning their sizes, so option D is also incorrect.
Comparing the two numbers simply, 0.09 has a higher place value in the tenths place than 0.002 does in the thousandths place, hence it is the larger number. Therefore, the correct answer to how the decimals are related is option C: 0.09 is greater than 0.002.