Chapter 2 Section 2 Units of Measurement Dimensional Analysis Part 1

Chapter 2 Section 2 Units of Measurement Everyone complains how they should be paid for the work they do at school! So, lets figure out how much money you would make in a school year! Facts you need to know: How long is your day? How many days do you “work” a day? How much do you get “paid”? 7 hours 180 days $7.25/hour

Chapter 2 Section 2 Units of Measurement What is your answer?$9135 How did you get your answer?Multiply all three answers? Here is what it should look like:

Dimensional Analysis USES Conversion Factors A conversion factor is a ratio derived from the equality between two different units that can be used to convert from one unit to the other. example: How quarters and dollars are related Section 2 Units of Measurement Chapter 2

Click below to watch the Visual Concept. Visual Concept Section 2 Units of Measurement Conversion Factor Chapter 2

Conversion Factors, continued Dimensional analysis is a mathematical technique that allows you to use units to solve problems involving measurements. Section 2 Units of Measurement quantity sought = quantity given × conversion factor example: the number of quarters in 12 dollars number of quarters = 12 dollars × conversion factor Chapter 2

example: conversion factors for meters and decimeters Conversion Factors, continued Deriving Conversion Factors You can derive conversion factors if you know the relationship between the unit you have and the unit you want. Section 2 Units of Measurement Chapter 2

Remember SI Conversions? Section 2 Units of Measurement Chapter 2

Conversion Factors Sample Problem B Solution Express a mass of grams in milligrams and in kilograms. Given: g Unknown: mass in mg and kg Solution: mg 1 g = 1000 mg Possible conversion factors: Section 2 Units of Measurement Chapter 2

Sample Problem B Solution, continued Express a mass of grams in milligrams and in kilograms. Given: g Unknown: mass in mg and kg Solution: kg g = 1 kg Possible conversion factors: Conversion Factors, continued Section 2 Units of Measurement Chapter 2

Section 2 Units of Measurement A “Non Metric Based” example Some “insane” workout fanatics want to run marathons. They have marathons listed at 26.2 mi and 35 k races. Which is shorter? Facts Needed: 1 km = mi So which would you want to run?

Cool Conversion Tutorial Video Watch this guy break down the steps for a conversion…… Chapter 2 Section 2 Units of Measurement Link to Video