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Learn how to change units using Dimensional Analysis. Steps included for converting $50 to nickels and other unit conversions. English System and common equalities provided. Practice worksheet included.
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Dimensional Analysis: A mathematical tool used to convert from one type of unit to another type of unit
Situation:You need to change $50 dollars into nickels. How many nickels do you need ???
We need a plan of attack! (4 Steps) 1. Write down what we are given
We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels
We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio on the ladder so the unit that’s given is on the bottom
Situation:You need to change $50 dollars into nickels. How many nickels do you need ???
We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio in the chart so that unit that is in the given is on the bottom 4. Simplify!!!
1000 nickels Simplify means cancel out units and do the math (Multiply the top and divide on the bottom)
English System inches feet yard mile
English System mm inches feet yard mile
English System mm inches cm feet dm meter yard mile km
English System mm inches cm feet dm meter yard mile km
English System mm inches cm feet 1 dm meter yard mile km
English System mm inches cm feet 1 2.54 dm meter yard mile km
Common equalities: • 1 inch = 2.54 cm • 60 seconds = 1 minute
Equalities 1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. 2.54 cm = 1 inch
English System mm inches cm feet 1 2.54 3.28 dm meter 1 yard 1.09 mile km 1.61 1
Problem 1: Convert - 8.5 cm = ? inches
Problem 1: 1 in 8.5 cm ______________ 2.54 cm = 3.35 in.
Problem 2: 12.75 cm = ? in 1 in 12.75 cm ______________ 2.54 cm = 5.02 in.
Problem 3: 32ft second = meters min ?
Problem 3: 1 m 60 sec 1 min 32 ft ______________ sec 3.28 ft 585.37 m_ min =
Worksheet: Dimensional Worksheet #1 DUE:
Worksheet: Dimensional Worksheet #1 DUE: In 20 Min.