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Dimensional analysis

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.

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Dimensional analysis

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  1. Dimensional analysis

  2. Warm-up Four more than three times a number is one less than four times the number. What is the number?

  3. 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.

  4. 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.

  5. Examples of Unit Fractions

  6. Example: How many inches are in 5 feet?

  7. 8 oz is how many pounds? (Hint: 1 pound = 16 oz)

  8. 15 yards to feet

  9. 4 feet to inches

  10. 6 pints to cups (Hint: 1 pint = 2 cups)

  11. 42 inches to feet

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

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

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

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

  16. 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)

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