1. Dimensional Analysis Part 1

2. Conversion Factors  Conversion Factor: a ratio of equivalent measurements.  Write a conversion factor for converting between inches and feet and a conversion factor converting between minutes and seconds.

3. Dimensional Analysis TrickName/ SymbolFactor KingKilo (K)1000 HenryHecto (H)100 DiedDeca (D)10 bybase1 drinkingdeci1/10 chocolatecenti1/100 milkmilli1/1000 The bigger unit ALWAYS gets the 1.

4. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 a. ms, s 1.From the chart, you pull the 1000 and the 1 2.The greater unit gets the 1  the base unit is higher on the list, so the base gets the 1 3.Therefore the left over factor goes with the left over unit (1000 and milli) 1000 ms 1 s or 1 s 1000 ms

5. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 b. g, kg 1.From the chart, you pull the 1 and the 1000 2.The greater unit gets the 1  the kilo is higher on the list, so the kilo gets the 1 3.Therefore the left over factor goes with the left over unit (1 and base) 1000 g 1 kg or 1 kg 1000 g

6. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 c. dm, m 1.From the chart, you pull the 10 and the 1 2.The greater unit gets the 1  the base unit is higher on the list, so the base unit gets the 1 3.Therefore the left over factor goes with the left over unit (10 and deci) 10 dm 1 m or 1 m 10 dm

7. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 d. g, mg 1.From the chart, you pull the 1 and the 1000 2.The greater unit gets the 1  the base unit is higher on the list, so the base unit gets the 1 3.Therefore the left over factor goes with the left over unit (1000 and milli) 1000 mg 1 g or 1 g 1000 mg

8. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 e. cm, m 1.From the chart, you pull the 100 and the 1 2.The greater unit gets the 1  the base unit is higher on the list, so the base unit gets the 1 3.Therefore the left over factor goes with the left over unit (100 and centi) 100 cm 1 m or 1 m 100 cm

9. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 f. Ms, s 1.From the chart, you pull the 1000000 and the 1 2.The greater unit gets the 1  the Mega is higher on the list, so the Mega gets the 1 3.Therefore the left over factor goes with the left over unit (100000 and base) Mega (M)1000000 1000000 s 1 Ms or 1 Ms 1000000 s

10. Dimensional Analysis  Dimensional Analysis: a method of problem solving  Steps to Solving Dimensional Analysis Problems 1.Write the given on the left. 2.Set the conversion so that the given unit will cancel out. 3.Give answer with units.

11. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 a. 48 Km to m 1.Write the given on the left 48 Km 2.Set the conversion so the Km cancels out (goes on the bottom) x Km m 1000 1 = 48000 m 3.Give answer with units

12. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 b. 2500 mL to L 1.Write the given on the left 2500 mL 2.Set the conversion so the mL cancels out (goes on the bottom) x mL L 1 1000 = 2.5 L 3.Give answer with units

13. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 c. 73 mg to g 1.Write the given on the left 73 mg 2.Set the conversion so the mg cancels out (goes on the bottom) x mg g 1 1000 = 0.073 g 3.Give answer with units

14. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 d. 2.3 Mg to go 1.Write the given on the left 2.3 Mg 2.Set the conversion so the Mg cancels out (goes on the bottom) x Mg g 1000000 1 = 2300000 g 3.Give answer with units Mega (M)1000000

15. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 e. 563 dL to L 1.Write the given on the left 563 dL 2.Set the conversion so the dL cancels out (goes on the bottom) x dL L 1 10 = 56.3 L 3.Give answer with units

16. PrefixFactor K1000 H100 D10 b1 d1/10 c1/100 m1/1000 f. 67 cm to m 1.Write the given on the left 67 cm 2.Set the conversion so the cm cancels out (goes on the bottom) x cm m 1 100 = 0.67 cm 3.Give answer with units