1. How many Kilometers are in 3.46 x 10 13 mm?

2. First, write what you are given.

3. In dimensional analysis, we always multiply.

5. Write the units you want to get rid of on the bottom of the next term.

7. Write the units you want to factor in on the top.

8. We will not convert directly from mm to km. We will go “ through the basic unit ” which in this case is m.

9. We will write a “ 1 ” in front of the unit with the prefix which in this case is mm.

10. We will write a “ 1 ” in front of the unit with the prefix which in this case is mm.

11. Now we use the memorized conversion between mm and m 1mm = 10 -3 m.

13. We are ready to perform the last step. The basic unit which we want to factor out goes on the bottom

14. We are ready to perform the last step. The basic unit which we want to factor out goes on the bottom

15. The units we are factoring in, km, goes on top

17. Put a 1 in front of the unit with a prefix, km,

19. and put the power of ten from the conversion 1 km =10 3 m in front of the basic unit.