Final answer:
To complete a table with equivalent values, one must understand how to manipulate fractions and maintain equilibrium within the table, often focusing on the key feature of numbers for reciprocals.
Step-by-step explanation:
To complete the table with equivalent values, the provided instruction notes that when units cancel out correctly, you are ready to do the math. Specifically for multiplying fractions, you should multiply the numerators and divide by the denominators. The idea is to maintain the equilibrium within the table, ensuring columns contain equivalent values and each fraction is in simplest form.
This process additionally implies that when working with reciprocal relationships, such as in Table A.1, it is convenient to disregard the decimal point and focus on the essential feature of the number, making it easier to find the equivalent reciprocal values.
For example, if the reciprocal of 2.5 is required, understanding that it should start with a 4 because multiplying 2.5 by 4 gives a product of 10, which is the base used in this case. You'd have 2.5 equivalent to 4 because 2.5 times 4 equals 10. From this, it can be deduced that the missing unit or abbreviation can be completed with this understanding for other values such as 8's reciprocal being 1.25-like.