Unit Conversion and Dimensional Analysis

This video tutorial explains how to convert units using dimensional analysis, a method involving conversion factors. It provides examples of converting inches to feet, miles to kilometers, and pounds to kilograms. The process involves setting up fractions, using conversion charts, and understanding the relationship between different units.

What is the primary focus of dimensional analysis?

• Graphing linear equations

• Calculating areas and volumes

• Converting units using conversion factors

• Solving algebraic equations

In dimensional analysis, what can be divided out in a multiplication problem?

• Only numbers

• Only units

• Both numbers and units

• Neither numbers nor units

What happens to the units when they are in both the numerator and denominator?

• They multiply

• They add

• They divide out

• They remain unchanged

How do you convert inches to feet using dimensional analysis?

• Divide by 12

• Multiply by 12

• Subtract 12

• Add 12

What is a conversion factor?

• A variable in a mathematical expression

• A constant used in algebraic equations

• A fraction with the same amount in both the numerator and denominator but different units

• A fraction with different amounts in the numerator and denominator

What is the conversion factor between miles and kilometers?

• 1 mile = 1.00 km

• 1 mile = 0.62 km

• 1 mile = 2.54 km

• 1 mile = 1.61 km

What is the first step in converting units using dimensional analysis?

• Divide by the conversion factor

• Look up the conversion factor

• Multiply by the conversion factor

• Make the original measurement into a fraction

What is the equivalent of 1 mile in kilometers?

• 1.61 km

• 0.62 km

• 1.00 km

• 2.54 km

When setting up a conversion factor, where should the original unit be placed?

• In the numerator

• In the denominator

• It doesn't matter

• In both the numerator and denominator

Why is it important to place units in opposite parts of the fraction?

• To make the calculation easier

• To simplify the fraction

• To ensure units divide out

• To avoid using a calculator