Conversion Factors with Powers:
Conversion Factors with Powers 2 1 cm 10 -2 m = 1-D conversion factor SQUARE BOTH sides of the equation …. 1 cm 10 -2 m = 2 2 2 -Dimensions! Re-write distributing the power of “2” …. 1 cm 2 2 = 10 -2 2 m 2 Square the #’ s & UNITs ! Simplify …. 1 cm 2 = 10 - 4 ____ m 2 2-D conversion factor!
Conversion Factors with Powers:
Conversion Factors with Powers 3 1 cm 10 -2 m = 1-D conversion factor Cube BOTH sides of the equation …. 1 cm 10 -2 m = 3 3 3 -Dimensions! Re-write distributing the power of “3” …. 1 cm 3 3 = 10 -2 3 m 3 Cube the #’ s & UNITs ! Simplify …. 1 cm 3 = 10 -6 ____ m 3 3-D conversion factor!
Slide 4:
Unit Conversions w/ a POWER 1. Write the GIVEN quantity and unit 2. Write the WANTED quantity and unit List CONVERSION FACTORS with the units of the WANTED and GIVEN quantities in 1-DIMENSION FIRST! 4. a. Create a 1-D Solution Map Example: cm m 5. FOLLOW the MULTI-DIMENSIONAL SOLUTION MAP! 6-7. ROUND to correct SIG. FIGS. and Check Answer! THE 1-D CONVERSION FACTOR is... 1 cm = 0.01 m 4. b. Raise the 1-D Solution Map & CONVERSIONS to the REQUIRED POWER . Now you have a MULTI-DIMENSIONAL SOLUTION MAP! IF “ CUBIC ” RAISE # & UNIT TO THE 3 IF “ SQUARED ” RAISE # & UNIT TO THE 2 Example: cm 3 m 3 Example: cm 3 m 3 4
Slide 5:
Example: How many km 3 is 1 dm 3 ? WORK IN 1-DIMENSION : Create a 1-D Solution Map FIRST ! Then Raise to the required Power ! 1 dm 1-D “Given ” m km 1-D “Wanted ” “Wanted Unit” “Given Unit” Top Bottom dm “conversion factor as ratio” 10 - 1 m 1 dm m 1 km 10 3 m “Wanted Unit” “Given Unit” Right Top Left Bottom “conversion factor as ratio” 1 dm = 10 - 1 m 10 3 m = 1km ? km RAISE ALL 1-DIMENSION Conversions and UNITS to the POWER required . 1 dm 3 x (10 -1 ) 3 m 3 1 3 dm 3 “ 3-D ”: x 1 3 km 3 (10 3 ) 3 m 3 = 1 x 10 -12 km 3 10 -3 m 3 10 9 m 3 Cubic = Power of 3 5
Slide 6:
This is the END of the Class Prep Activity for Lesson-07 ! The remaining slides will be done IN-Class Make sure you have completed the worksheet for Lesson-06 . Prepare for Class! 6