TED-Ed: Can you solve the multiplying rabbits riddle? - Alex Gendler

The video tutorial introduces nano-rabbits, a futuristic pet that multiplies rapidly. The experiment involves breeding these rabbits in a pyramid-shaped habitat. However, a sabotage leads to a problem where trailing zeros in the rabbit count are lost, risking an overflow. The video explains how to calculate trailing zeros through multiplication patterns without computing the entire number. Ultimately, it is discovered that the habitat cannot contain the rabbits, prompting an emergency shutdown.

What is the initial arrangement of the habitat cells for the nano-rabbits?

• A straight line with 36 cells

• A circular arrangement with 8 cells

• An inverted pyramid with 8 cells in the top row

• A random distribution of 36 cells

What is the significance of the number 10^80 in the context of the nano-rabbits?

• It is the number of generations the rabbits can reproduce

• It is the number of cells in the habitat

• It is the number of rabbits initially in the top row

• It is the maximum number of rabbits a cell can hold

What issue arises due to the sabotage of the code?

• The rabbits stop reproducing

• The habitat cells are rearranged

• Trailing zeros are cut off from the results

• The rabbits become larger

How can you determine the number of trailing zeros in a product?

• By subtracting the number of zeros in each factor

• By multiplying the number of zeros in each factor

• By dividing the number of zeros in each factor

• By adding the number of zeros in each factor

What mathematical concept is mentioned in relation to counting zeros?

• Pythagorean theorem

• Pascal's triangle

• Golden ratio

• Fibonacci sequence