Four Fours

[From the notes of Emily Moore, with modifications by Samuel A. Rebelsky.]

Using mathematical symbols to combine four fours it is possible to write expressions for all the numbers from 0 to 100, as well as millions of others. For example,

Using any symbols that do not themselves contain digits, see how many numbers you can form using four fours. Some should be easy. Some people find these numbers particularly difficult: 13, 19, 33, 85.

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