Final answer:
To solve the question 'a divided by 6 is equal to 1', we multiply 1 by 6 to find 'a', resulting in a = 6. This illustrates that division is the inverse of multiplication and that a number divided by itself equals 1.
Step-by-step explanation:
The question 'a divided by 6 is equal to 1' can be approached by understanding the basic principles of division and solving for the variable 'a'. In this case, dividing a number by 6 to obtain the result of 1 suggests that the number must be equal to 6 itself, as division is the inverse operation of multiplication. Following this logic, if we multiply 1 (the result of the division) by 6, we should retrieve the original number 'a'.
To solve for 'a', we can set up the equation a / 6 = 1. Multiplying both sides by 6 to isolate 'a' on one side gives us a = 6 * 1, which simplifies to a = 6.
This exercise demonstrates the concept that multiplication and division are inverse operations and that a number divided by itself is equal to 1. Therefore, if a divided by 6 equals 1, then 'a' must be 6.