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Try it on your own, but stay tuned for huzefa's explanation On august 20, 2009, this website was four years old Check back every friday for more awesome math puzzles!

Can you solve the four four's puzzle by finding every number between 1 and 20 using only four of the number 4 and any mathematical operation. Then, you might just win dr mike's fours contest Use exactly four 4s to form every integer from 0 to 50, using only the operators.

Task instructions can you find every number between 1 and 20 using only four 4's and any operation

Or can we as a class find every number between 1 and 20 using only four 4's and any operation Here's an example √4 + √4 + 4⁄4 = give this challenge to students and write all the numbers from 1 to 20 on the board. The problem it has been proposed that all whole numbers to infinity can be represented by four 4s and different operations Explore how this can be done for the numbers 1 to 20.

The image shows a table with numbers from 1 to 20 in the right column and empty spaces in the left column The table is labeled the four fours problem and the instructions are to write each number from 1 to 20 using only the number 4 four times and any mathematical operations We need to find a combination of four 4s and mathematical operations that result in each. The challenge is for you to apply operations on four numbers 4 to get all integers from 1 to 20

In fact the first two have been done for you, 1 = 44/44 and 2 = 4/4 + 4/4.

Can you do this using fewer 4's than anyone else

OPEN