DIMENSIONAL ANALYSIS. WARM-UP Four more than three times a number is one less than four times the number. What is the number?

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Presentation transcript:

DIMENSIONAL ANALYSIS

WARM-UP Four more than three times a number is one less than four times the number. What is the number?

Dimensional Analysis Dimensional Analysis is a procedure used to convert from one unit of measurement to a different unit of measurement. To do dimensional analysis, you must understand what is meant by a unit fraction.

Unit Fraction A unit fraction is any fraction in which the numerator and denominator contain different units and the value of the fraction is 1. The table on the next slide shows many unit fractions involving U.S. customary units.

Examples of Unit Fractions

Example: How many inches are in 5 feet?

8 oz is how many pounds? (Hint: 1 pound = 16 oz)

15 yards to feet

4 feet to inches

6 pints to cups (Hint: 1 pint = 2 cups)

42 inches to feet

John drives on the interstate 60 miles per hour. How many feet per second is he traveling?

Kim can scan 20 items per minute. How many can she scan in 15 seconds? Find how many she can scan per second: Multiply by 15 seconds.

Jared can work 54 math problems in 1 hour. How many problems can he work in 10 minutes? Figure the amount per minute first: Now multiply that amount by 10 minutes.

A machine makes 360 gadgets every 24 hours. How many gadgets does it make every 20 minutes. Find the # of gadgets per minute first: Next, multiply by 20 minutes to get the # of gadgets.

Perry’s car can travel an average of 22 miles on 1 gallon of gas. How many miles can his car travel on 1 quart of gas? (Hint: 1 gallon = 4 quarts)