Question

Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The dimensional analysis method uses equivalences written in _____________________ form. o Because the numerator and denominator of the fraction are equivalent, the value of the fraction is __________ o Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label) o In order for units to cancel they must be in _____________________________ of the fraction.

Answer 1

Answer:

The dimensional analysis method uses equivalences written in fractional form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is 1. Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in the numerator and the denominator of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator