Answer:
The quotient 47.3/10 is equal to the product 47.3 x 0.1 because division and multiplication are inverse operations. In other words, dividing a number by another number is the same as multiplying it by the reciprocal of that number.
Explanation:
The reciprocal of a number is defined as 1 divided by that number. For example, the reciprocal of 10 is 1/10, which is equal to 0.1.
Therefore, dividing 47.3 by 10 is the same as multiplying it by the reciprocal of 10, which is 0.1. This is why the quotient 47.3/10 is equal to the product 47.3 x 0.1.
This relationship between division and multiplication can be written as follows:
a/b = a x (1/b) = a x b^(-1)
where a and b are numbers, and b^(-1) is the reciprocal of b.