# Dimensional Analysis

## Problem Solving Strategy: Dimensional Analysis

Back in Module 1.1 we asked you to solve a problem involving tuna using dimensional analysis. We?re going to spend a little more time on this problem-solving strategy.

Dimensional analysis is a method used to convert from one unit of measure to another. It is also referred to as "unit analysis," or the "factor-label method," and is used extensively in science.

In a dimensional analysis problem, we place measurements into fraction form, build a product of fractions, and cancel units. The steps for performing a unit analysis are as follows:

- Write the ending fact with the units called for in the answer.
- Write the starting fact with units included as a fraction.
- Determine what conversion facts are needed to get from the starting fact to the desired answer.
- Between the starting and ending, build a product of fractions using the necessary conversion facts. Arrange the fractions so that the units to be eliminated can be cancelled.
- Cancel unwanted units.
- Perform the numerical calculations.

Let's look at the following examples. Note how the canceling is done.