A piece of construction paper is .01mm thick. It is cut in half and one piece is placed on top of the other to make a pile. These are cut in half, and all four pieces are placed in a pile. These four are cut in half and placed in a pile, and the process is continued. After the pieces have been cut and piled for the tenth time, what is the height of the pile in cm?: *

Question

A piece of construction paper is .01mm thick. It is cut in half and one piece is placed on top of the other to make a pile. These are cut in half, and all four pieces are placed in a pile. These four are cut in half and placed in a pile, and the process is continued. After the pieces have been cut and piled for the tenth time, what is the height of the pile in cm?: * 
2.012 cm 
1.024 cm 
1.648 cm 
0.864 cm

Please explain, thanks

bobpursley · Answer

I will be happy to critique your thinking.