The Factor-Label Method

Mr. Anderson introduces the factor label method, also known as dimensional analysis, as a systematic approach to solving conversion problems. He uses the analogy of Six Degrees of Separation to explain the concept of connecting different units. The video outlines the steps of the method, including expressing quantities as fractions, using conversion factors, and performing calculations. Practice problems demonstrate converting days to seconds and miles per hour to meters per second. The video concludes with a discussion on significant digits and the method's limitations, such as its inability to handle non-linear conversions like Fahrenheit to Celsius.

What is another name for the factor label method?

• Dimensional analysis

• Mathematical modeling

• Unit conversion

• Scientific notation

What does the Six Degrees of Separation analogy help illustrate in the context of the factor label method?

• The complexity of unit conversions

• The connection between different units

• The importance of significant digits

• The limitations of the method

What is the first step in the factor label method?

• Add the conversion factors

• Express the given quantity as a fraction

• Multiply across the top

• Cancel out the units

How many seconds are there in 12 days, according to the factor label method?

• 1,036,800 seconds

• 1,000,000 seconds

• 1,200,000 seconds

• 1,500,000 seconds

What is the correct conversion factor for miles to meters?

• 1 mile = 1000 meters

• 1 mile = 1609 meters

• 1 mile = 1500 meters

• 1 mile = 2000 meters

Why do conversion factors have an infinite number of significant digits?

• Because they are estimates

• Because they are approximations

• Because they are exact values

• Because they are rounded numbers

What is a limitation of the factor label method?

• It fails when there is a constant ratio

• It cannot handle conversions involving addition or subtraction

• It is only applicable to chemistry

• It cannot handle unit conversions