A room contains 8 crates. Each crate contains 8 boxes. Each box contains 8 bags. Each bag contains 8 balloons.
a) How many balloons are in the room?
b) Express the numbers of balloons as a power. Identify the base and the exponent.
please help i understand a) that u have to multiply but i need help with both questions.
a) 8 * 8 * 8 * 8 = 4096
b) 8^4
a) To find out how many balloons are in the room, we need to multiply the quantities at each level.
Starting from the innermost level, we know that each bag contains 8 balloons. Since each box contains 8 bags, we can multiply the number of bags by 8 to find the total number of balloons in each box: 8 bags/box * 8 balloons/bag = 64 balloons/box.
Moving to the next level, we know that each crate contains 8 boxes. So, to find the total number of balloons in each crate, we can multiply the number of boxes by 64: 8 boxes/crate * 64 balloons/box = 512 balloons/crate.
Finally, since we are interested in the total number of balloons in the room, we need to multiply the number of crates by the number of balloons per crate: 8 crates * 512 balloons/crate = 4,096 balloons.
Therefore, there are 4,096 balloons in the room.
b) To express the number of balloons as a power, we can find the base and exponent by using the multiplication calculations we made in part a).
The base will be the number of balloons per level, which is 8. The exponent will be the number of levels or stages we have in the problem.
In this case, we have 4 levels/stages: bags, boxes, crates, and room.
So, the expression for the number of balloons using a power is: 8^4, where 8 is the base and 4 is the exponent.