Final answer:
To compare two quantities and make the second quantity equal to 1 without visuals, you should divide the first quantity by its reciprocal, effectively applying a conversion factor.
Step-by-step explanation:
To compare two quantities so that the second quantity has a value of 1, without using a diagram, you would divide the first quantity by its reciprocal. The reciprocal of a number is 1 divided by that number. When you multiply a number by its reciprocal, the result is 1. Therefore, if the first quantity is A and the second quantity is B (which we want to be 1), we take the reciprocal of A (which is 1/A) and multiply B by this reciprocal. Since B is already 1, this action simply affirms that we have compared A to the unit value 1 correctly.
One fundamental concept involved here is the use of a conversion factor. A conversion factor is a ratio that is used to convert quantities from one unit to another. When dividing by the reciprocal, you are effectively creating a conversion factor that relates the first quantity to a second quantity with a value of 1. This method ensures that the units are correctly converted, and equivalent quantities are maintained.