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Try it on your own, but stay tuned for huzefa's explanation Explore how this can be done for the numbers 1 to 20. Check back every friday for more awesome math puzzles!
The image shows a table with numbers from 1 to 20 in the right column and empty spaces in the left column The problem it has been proposed that all whole numbers to infinity can be represented by four 4s and different operations 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.
I am doing the same thing. I only have answers with the square root thing on it sorry! Maybe you will be allowed it though :S 0 = (4 + 4) - (4 + 4) 1 = (4 + 4) / (4 + 4) 2 = (4 x 4 ) / (4 + 4) 3 = (4 + 4 + 4) / 4 4 = 4 + 4 - √4 - √4 5 = √4 + √4 + {4/4} 6 = 4 + √4 + 4 - 4 7 = 4 x √4 - {4/4} 8 = 4 + 4 + 4 - 4 9 = 4 + 4 + {4/4} 10 = 4 + 4 + 4 - √4 11 = 4 / {√4 - (4/4)} 12 = {4 x 4. Use exactly four 4s to form every integer from 0 to 50, using only the operators. 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.
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