Problem 20Q

Why does the fundamental value of a quantity not change when you multiply the quantity by a conversion factor?

Solution 20Q

Step 1:

A conversion factor is used to change the units of a measured quantity without changing its value. These are the universal values which will not affect the value of measured quantities. The values will not change because these are equivalents.

For example: the unity bracket method of unit conversion consists of a fraction in which the denominator is equal to the numerator, but they are in different units. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one. Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity.